Publications on and with deal.II

On this page, we would like to collect a list of as many publications written on or with the help of deal.II as possible. If possible, we will cross-reference them to the author for questions and possible downloads. Note that even if not explicitely mentioned, many of the publications listed here are available from the authors as a postscript file, PDF file, or in printed form. You may want to click on the author's name to get to the his/her homepage. Note that the list below only contains entries for publications that show results obtained with deal.II, not those that simply reference deal.II; there are presently well over 100 publications in the latter class.

If you have written something, we would be pleased if you could drop us a brief note so that we can add your entry to the list. We are interested in listing applications in as many fields as possible.

Some other resources on the use of deal.II or its development can also be found on a page where we collect a few presentations.

Reference to deal.II

If you write a paper using results obtained with the help of deal.II, please cite one or both of the following references:

  1. W. Bangerth, R. Hartmann and G. Kanschat
    deal.II — a general-purpose object-oriented finite element library
    ACM Transactions on Mathematical Software, vol. 33, no. 4, article 24
    DOI 10.1145/1268776.1268779 for abstract and fulltext; (Preprint), (BibTeX Entry)
    @Article{BHK07,
      author = {W. Bangerth and R. Hartmann and G. Kanschat},
      title = {deal.{II} --- a general-purpose object-oriented finite element library},
      journal = {ACM Trans. Math. Softw.},
      volume = {33},
      number = {4}
    }
  2. W. Bangerth, R. Hartmann and G. Kanschat
    deal.II Differential Equations Analysis Library, Technical Reference
    To be found on the project webpage http://www.dealii.org
    @Manual{BHK,
      title = 	 {{\tt deal.{I}{I}} Differential Equations Analysis Library,
                      Technical Reference},
      author = 	 {W. Bangerth and R. Hartmann and G. Kanschat},
      note =         {\texttt{http://www.dealii.org}},
      url =          {http://www.dealii.org}
    }

Publications on details of deal.II

There are many dozen papers that cite deal.II in their literature overview or in comparing algorithms described in them with other implementations. This set of publications is too numerous to catalog exhaustively. In this section, on the other hand, we list articles that describe implementation aspects of deal.II in detail.

The following publication explains in great detail the implementation of algorithms and data structures of the hp component of deal.II:

  1. W. Bangerth, O. Kayser-Herold,
    Data Structures and Requirements for hp Finite Element Software
    ACM Trans. Math. Softw., vol. 36, pp. 4/1-31, 2009

deal.II is a component of the SPEC CPU2006 benchmark suite. There are hundreds of papers that use and describe this testsuite as a reference for compiler and hardware optimizations. The following special issue gives a detailed comparison with respect to many different metrics of the benchmarks in SPEC CPU2006, including deal.II:

  1. Special Issue: SPEC CPU2006 analysis (Editor: John Henning)
    ACM SIGARCH Computer Architecture News, vol. 35, issue 1, 2007.

Publications in 2009

  1. M. S. Alnæs, K.-A. Mardal
    Symbolic computations and code generation for finite element methods
    ACM Transactions on Mathematical Software, submitted, 2009

  2. W. Bangerth, O. Kayser-Herold
    Data Structures and Requirements for hp Finite Element Software
    ACM Trans. Math. Softw., vol. 36, pp. 4/1-31, 2009

  3. B. Cockburn, G. Kanschat, and D. Schötzau
    An equal-order DG method for the incompressible Navier-Stokes equations
    J. Sci. Comput., 2009. to appear. DOI: 10.1007/s10915-008-9261-1

  4. F. Freddi, G. Royer-Carfagni
    From Non-Linear Elasticity to Linearized Theory: Examples Defying Intuition
    J. of Elasticity, in press, 2009

  5. H. K. Hesse, G. Kanschat
    Mesh Adaptive Multiple Shooting for Partial Differential Equations. Part I: Linear Quadratic Optimal Control Problems
    SIAM J. Control Optim., submitted, 2009

  6. G. Kanschat
    Robust smoothers for high order discontinuous Galerkin discretizations of advection-diffusion problems
    J. Comput. Appl. Math., 2008, in press
    (Preprint)

  7. A. Q. Raeini
    Fractured reservoir simulation using finite element method with logarithmic shape functions (in Persian)
    M. Sc. thesis, Sharif University of Technology, Iran, 2009.

  8. D. Schötzau, L. Zhu
    A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations
    Appl. Numer. Math., to appear, 2008

  9. Y. Wang, W. Bangerth, J. Ragusa
    Three-dimensional h-adaptivity for the multigroup neutron diffusion equations
    Progress in Nuclear Energy, vol. 51, pp. 543-555, 2009

  10. T. D. Young
    Exemplifying quantum systems in a finite element basis
    International Conference on Computational Methods in Sciences and Engineering 2008, American Institute of Physics Conference Series, 2009

  11. R. Ziegler, B. Brendel, A. Schipper, R. Harbers, M. van Beek, H. Rinneberg, T. Nielsen
    Investigation of detection limits for diffuse optical tomography systems: I. Theory and experiment
    Phys. Med. Biol., vol. 54, pp. 399-412, 2009

  12. R. Ziegler, B. Brendel, H. Rinneberg, T. Nielsen
    Investigation of detection limits for diffuse optical tomography systems: II. Analysis of slab and cup geometry for breast imaging
    Phys. Med. Biol., vol. 54, pp. 413-431, 2009

Publications in 2008

  1. W. Bangerth
    A framework for the adaptive finite element solution of large-scale inverse problems
    SIAM J. Sci. Comput, vol. 30, pp. 2965-2989, 2008

  2. W. Bangerth, A. Joshi
    Adaptive finite element methods for the solution of inverse problems in optical tomography
    Inverse Problems, vol. 24, article 034011 (23 pages), 2008

  3. M. Bartels, A. Joshi, J. C. Rasmussen, E. M. Sevick-Muraca, W. Bangerth
    Post-image acquisition excitation light mitigation in NIR fluorescent tomography
    Proceedings of the IEEE International Symposium on Biomedical Imaging, Arlington, VA, 2008

  4. B. Brendel, R. Ziegler, T. Nielsen
    Algebraic reconstruction techniques for spectral reconstruction in diffuse optical tomography
    Applied Optics, vol. 47, pp. 6392-6403, 2008

  5. D. Boffi, L. Gastaldi, L. Heltai, C. S. Peskin
    On the hyper-elastic formulation of the immersed boundary method
    Computer Methods in Applied Mechanics and Engineering, vol. 197, pp. 2210-2231, 2008

  6. B. Carnes, G. F. Carey
    Local boundary value problems for the error in FE approximation of non-linear diffusion systems
    Int. J. for Numer. Methods Engrg., vol. 73, pp. 665-684, 2008

  7. N. Djilali, P. C. Sui
    Transport phenomena in fuel cells: from microscale to macroscale
    Int. J. of Comput. Fluid Dynam., vol. 22, pp. 115-133, 2008

  8. R. Fosdick, F. Freddi, G. Royer-Carfagni
    Bifurcation instability in linear elasticity with the constraint of local injectivity
    J. of Elasticity, vol. 90, pp. 99-126, 2008

  9. C. Giavarini, M. L. Santarelli, R. Natalini, F. Freddi
    A non linear model of sulphation of porous stones: numerical simulations and preliminary laboratory assessments
    J. of Cultural Heritage, vol. 9, pp. 14-22, 2008

  10. M. Grote, A. Schneebeli, D. Schötzau
    Interior penalty discontinuous Galerkin method for Maxwell's equations: optimal L2-norm estimates
    IMA J. Numer. Anal., vol. 28, pp. 440-468, 2008

  11. R. Hartmann
    Multitarget error estimation and adaptivity in aerodynamic flow simulations
    SIAM J. Sci. Comput., vol. 31, no. 1, pp. 708-731, 2008

  12. R. Hartmann and P. Houston
    An Optimal Order Interior Penalty Discontinuous Galerkin Discretization of the Compressible Navier-Stokes Equations
    J. Comput. Phys., vol. 227, no. 22, pp. 9670-9685, 2008

  13. L. Heltai
    On the stability of the finite element immersed boundary method,
    Computers and Structures, vol. 86, pp. 598-617, 2008

  14. A. Joshi, W. Bangerth, E. Sevick
    Non-Contact Fluorescence Optical Tomography with Adaptive Finite Element Methods
    In: "Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT)", Y. Censor, M. Jiang and A.K. Louis (eds.), pp. 185-200, Birkhäuser, 2008

  15. G. Kanschat, D. Schötzau
    Energy norm a-posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier-Stokes equations
    Int. J. Numer. Methods Fluids, vol. 57, pp. 1093-1113, 2008. DOI: 10.1002/fld.1795

  16. D. K. Khalmanova, F. Costanzo
    A space-time discontinuous Galerkin finite element method for fully coupled linear thermo-elasto-dynamic problems with strain and heat flux discontinuities
    Comput. Meth. Appl. Mech. Engrg., vol. 197, pp. 1323-1342, 2008

  17. M. Kronbichler, G. Kreiss
    A hybrid level–set–Cahn–Hilliard model for two-phase flow
    Proceedings of the 1st European Conference on Microfluidics, accepted for publication. Microfluidics 2008, Bologna, Italy, December 10–12, 2008.

  18. T. Leicht and R. Hartmann
    Anisotropic mesh refinement for discontinuous Galerkin methods in two-dimensional aerodynamic flow simulations
    Int. J. Numer. Meth. Fluids, vol. 56, no. 11, pp. 2111-2138, 2008

  19. M. Neytcheva and E. Bängtsson
    Preconditioning of nonsymmetric saddle point systems as arising in modelling of viscoelastic problems
    ETNA, vol. 29, pp. 193-211, 2008 2008

  20. K. Schmid
    Theory and numerics of a reconstruction algorithm for a problem from acoustic microscopy
    Diploma thesis, Technical University of Munich, Germany, 2008

  21. M. Secanell, K. Karan, A. Suleman, N. Djilali
    Optimal design of ultralow-platinum PEMFC anode electrodes
    Journal of The Electrochemical Society, vol. 155, pp. B125-B134, 2008

  22. J. A. White, R. I. Borja
    Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients
    Comput. Meth. Appl. Mech. Engrg., vol. 197, pp. 4353-4366, 2008

  23. T. Wick
    Untersuchung von Kopplungsmechanismen von Fluid-Struktur-Interaktion
    Master's thesis, Universität Siegen, Germany, 2008

Publications in 2007

  1. P. F. Antonietti, L. Heltai
    Numerical validation of a class of mixed discontinuous Galerkin methods for Darcy flow
    Computer Methods in Applied Mechanics and Engineering, vol. 196, pp. 4505-4520, 2007

  2. W. Bangerth, R. Hartmann, G. Kanschat
    deal.II — a general-purpose object-oriented finite element library
    ACM Transactions on Mathematical Software, vol. 33, no. 4, article 24, 2007

  3. W. Bangerth, A. Joshi, E. Sevick
    Inverse biomedical imaging using separately adapted meshes for parameters and forward model variables
    Proceedings of the IEEE International Symposium on Biomedical Imaging, Arlington, VA, pp. 1368-1371, 2007

  4. E. Bängtsson, M. Neytcheva
    Finite Element Block-Factorized Preconditioners
    Technical Report 2007-008, Uppsala University, Sweden, 2007

  5. D. Boffi, L. Gastaldi, L. Heltai
    On the CFL condition for the finite element immersed boundary method
    Computers & Structures, vol. 85, pp. 775-783, 2007 (DOI)

  6. D. Boffi, L. Gastaldi, L. Heltai
    Numerical stability of the finite element immersed boundary method
    Mathematical Models and Methods in Applied Sciences, vol. 17, pp. 1479-1505, 2007

  7. M. Calhoun-Lopez, M. D. Gunzburger
    The efficient implementation of a finite element, multi-resolution viscosity method for hyperbolic conservation laws
    Journal of Computational Physics, vol. 225, pp. 1288-1313, 2007

  8. B. Carnes, G. F. Carey
    Estimating spatial and parameter error in parameterized nonlinear reaction-diffusion equations
    Communications in Numerical Methods in Engineering, vol. 23, pp. 835-854, 2007

  9. C. C. Douglas, M. J. Cole, P. Dostert, Y. Efendiev, R. E. Ewing, G. Haase, J. Hatcher, M. Iskandarani, C. R. Johnson, R. A. Lodder
    Dynamically identifying and tracking contaminants in water bodies
    International Conference on Computational Science ICCS 2007, vol. 4487 of Springer Lecture Notes in Computer Science, pp. 1002-1009, 2007

  10. F. Freddi, M. Frémond
    Collision and Fractures: a predictive theory
    Proceedings of the EuroSim Conference, Lubiana, Slovenia, 9-13 September, 2007

  11. P.K. Galenko, S. Reutzel, D. M. Herlach, D. Danilov, B. Nestler
    Modelling of dendritic solidification in undercooled dilute Ni-Zr melts
    Acta Materialia, vol. 55, pp. 6834-6842, 2007

  12. T. Ha, C. Shin
    Magnetotelluric inversion via reverse time migration algorithm of seimic data
    J. Comput. Phys., vol. 225, pp. 237-262, 2007

  13. R. Hartmann
    Adjoint consistency analysis of Discontinuous Galerkin discretizations
    SIAM J. Numer. Anal., vol. 45, no. 6, pp. 2671-2696, 2007

  14. R. Hartmann
    Error estimation and adjoint based refinement for an adjoint consistent DG discretization of the compressible Euler equations
    Int. J. Computing Science and Mathematics, vol. 1, pp. 207-220, 2007

  15. R. Hartmann
    DG discretizations for compressible flows: Adjoint consistency analysis, error estimation and adaptivity
    In R. Rannacher, E. Süli, and R. Verführt, eds., Adaptive Numerical Methods for PDEs, Mathematisches Forschungsinstitut Oberwolfach Report 29/2007, pp. 26-30, 2007

  16. P. Hepperger
    Ein POD-basierter Ansatz zur numerischen Lösung eines Datenassimilationsproblems am Beispiel einer linearen Diffusions-Konvektions-Gleichung
    Diploma thesis, Technical University of Munich, Germany, 2007

  17. O. Kayser-Herold, H.G. Matthies
    A unified least-squares formulation for fluid-structure interaction problems
    Computers and Structures, vol. 85, pp. 998-1011, 2007

  18. A. Joshi, W. Bangerth, R. Sharma, J. Rasmussen, W. Wang, E. Sevick
    Molecular tomographic imaging of lymph nodes with NIR fluorescence
    Proceedings of the IEEE International Symposium on Biomedical Imaging, Arlington, VA, pp. 564-567, 2007

  19. B. Nestler, D. Danilov, A. Bracchi, Y.-L. Huang, T. Niermann, M. Seibt and S. Schneider
    A metallic glass composite: Phase-field simulations and experimental analysis of microstructure evolution
    Materials Science and Engineering: A, vol. 452-453, pp. 8-14, 2007

  20. A. Nigro
    Discontinuous Galerkin Methods for inviscid low Mach number flows
    Ph.D. thesis, University of Calabria, 2007

  21. P. J. Phillips and M. F. Wheeler
    A coupling of mixed and continuous Galerkin finite element methods for poroelasticity II: the discrete-in-time case
    Computational Geosciences, vol. 11, pp. 145-158, 2007

  22. H.-J. Reinhardt, D. N. Hào, J. Frohne and F.-T. Suttmeier
    Numerical solution of Inverse Heat Conduction Problems in two spatial dimensions
    J. Inverse and Ill-Posed Problems, vol. 5, pp. 19-36, 2007

  23. M. Schmidt
    Systematic discretization of input/output maps and other contributions to the control of distributed parameter systems
    Ph.D. thesis, TU Berlin, Germany, 2007

  24. M. Secanell, B. Carnes, A. Suleman, N. Djilali
    Numerical optimization of proton exchange membrane fuel cell cathodes
    Electrochimica Acta, vol. 52, pp. 2668-2682, 2007

  25. M. Secanell, K. Karan, A. Suleman, N. Djilali
    Multi-variable optimization of PEMFC cathodes using an agglomerate model
    Electrochimica Acta, vol. 52, pp. 6318-6337, 2007

  26. R. Ziegler, T. Nielsen, T. Koehler, D. Grosenick, O. Steinkellner, A. Hagen, R. Macdonald, H. Rinneberg
    Reconstruction of absorption and fluorescence contrast for scanning time-domain fluorescence mammography
    Optical Tomography and Spectroscopy of Tissue VII, Proc. SPIE vol. 6434, 64340H/1-11, 2007

Publications in 2006

  1. M. Allmaras
    Optimal Design of Periodic Microstructures by the Inverse Homogenization Method
    Diploma Thesis, Technical University Munich, Germany, 2006

  2. N. Antonic, M. Vrdoljak
    Sequential laminates in multiple state optimal design problems
    Mathematical Problems in Engineering, vol. 2006, pp. 1-14, 2006

  3. E. Bängtsson, B. Lund
    A comparison between two approaches to solve the equations of isostasy
    Institute for Parallel Processing (BIS 21++) Technical Report 2006-03, Bulgarian Academy of Sciences, 2006

  4. E. Bängtsson, B. Lund
    A comparison between two approaches to solve the equations of isostasy
    Technical Report 2006-051, Uppsala University, Sweden, 2006

  5. E. Bängtsson, M. Neytcheva
    Numerical simulations of glacial rebound using preconditioned iterative solution methods
    Applications of Mathematics, vol. 50, pp. 183-201, 2006

  6. E. Bängtsson, M. Neytcheva
    An agglomerate multilevel preconditioner for linear isostasy saddle point problems
    Proceedings of Large-Scale Scientific Computing: 5th International Conference (I. Lirkov, S. Margenov, J. Wasniewski, eds), pp. 113-120, 2006

  7. B. Carnes, N. Djilali
    Analysis of coupled proton and water transport in a PEM fuel cell using the binary friction membrane model
    Electrochimica Acta, vol. 52, pp. 1038-1052, 2007

  8. D. Danilov, B. Nestler
    Phase-field simulations of eutectic solidification using an adaptive finite element method
    International Journal of Modern Physics B, vol. 20, pp. 853-867, 2006

  9. M. Grote, A. Schneebeli, D. Schötzau
    Discontinuous Galerkin Finite Element Method for the Wave Equation
    SIAM J. Numer. Anal, vol. 44, pp. 2408-2431, 2006

  10. T. Ha, C. Shin
    Two dimensional magnetotelluric inversion via reverse time migration algorithm
    Abstracts of the SEG Annual Meeting in New Orleans, pp. 830-835, 2006

  11. R. Hartmann
    Error estimation and adjoint-based adaptation in aerodynamics
    In P. Wesseling, E. Onate, J. Periaux, eds., Proceedings of the ECCOMAS CFD 2006, Sept. 5-8, Egmond aan Zee, The Netherlands, 2006

  12. R. Hartmann
    Derivation of an adjoint consistent discontinuous Galerkin discretization of the compressible Euler equations
    In G. Lube and G. Rapin, eds., Proceedings of the BAIL 2006 Conference, 2006

  13. R. Hartmann
    Adaptive discontinuous Galerkin methods with shock-capturing for the compressible Navier-Stokes equations
    Int. J. Numer. Meth. Fluids, vol. 51, pp. 1131-1156, 2006

  14. R. Hartmann and P. Houston
    Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation
    Int. J. Numer. Anal. Model., vol. 3, pp. 1-20, 2006.

  15. R. Hartmann and P. Houston
    Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal-Oriented A Posteriori Error Estimation
    Int. J. Numer. Anal. Model., vol. 3, pp. 141-162, 2006

  16. L. Heltai
    The Finite Element Immersed Boundary Method
    Ph.D. thesis, Università di Pavia, Dipartimento di Matematica "F. Casorati", 2006

  17. K. Hwang, T. Pan, A. Joshi, J. C. Rasmussen, W. Bangerth, E. Sevick-Muraca
    Influence of excitation light rejection on forward model mismatch in optical tomography
    Phys. Med. Biol., vol. 51, pp. 5889-5902, 2006

  18. A. Joshi, W. Bangerth, E. Sevick-Muraca
    Non-contact fluorescence optical tomography with scanning patterned illumination
    Optics Express, vol. 14, pp. 6516-6534, 2006

  19. A. Joshi, W. Bangerth, K. Hwang, J. C. Rasmussen, E. Sevick-Muraca
    Fully adaptive FEM based fluorescence optical tomography from time-dependent measurements with area illumination and detection
    Med. Phys., vol. 33, pp. 1299-1310, 2006

  20. A. Joshi, W. Bangerth, E. Sevick-Muraca
    Non-contact fluorescence optical tomography with scanning illumination
    Proceedings of the IEEE International Symposium on Biomedical Imaging, Arlington, VA, 2006, pp. 582-585, 2006

  21. A. Joshi, W. Bangerth, K. Hwang, J. C. Rasmussen, E. Sevick-Muraca
    Plane wave fluorescence tomography with adaptive finite elements
    Optics Letters, vol. 31, pp. 193-195, 2006

  22. O. Kayser-Herold
    Least-Squares Methods for the Solution of Fluid-Structure Interaction Problems
    Ph.D. thesis, TU-Braunschweig, Germany, 2006
    Available online through this link

  23. T. Leicht
    Anisotropic Mesh Refinement for Discontinuous Galerkin Methods in Aerodynamic Flow Simulations
    Diploma thesis, TU Dresden, 2006
    Available online through this link

  24. D. Oeltz
    Ein Raum-Zeit Dünngitterverfahren zur Diskretisierung parabolischer Differentialgleichungen
    Ph.D. thesis, University of Bonn, Germany, 2006

  25. M. Schmidt
    Low-dimensional I/O modeling of distributed parameter systems
    Proc. Appl. Math. Mech., vol. 6, pp. 15-18, 2006

Publications in 2005

  1. M. Anderson, W. Bangerth, G. Carey
    Analysis of parameter sensitivity and experimental design for a class of nonlinear partial differential equations
    International Journal for Numerical Methods in Fluids, vol. 48, pp. 583-605, 2005

  2. W. Bangerth, A. Joshi, E. Sevick-Muraca
    Adaptive finite element methods for increased resolution in fluorescence optical tomography
    Progress in Biomedical Optics and Imaging, vol. 6, pp. 318-329, 2005

  3. D. Boffi, L. Gastaldi, L. Heltai
    The finite element immersed boundary method: model, stability, and numerical results
    In Schrefler Papadrakakis, Onate, eds., Computational Methods for Coupled Problems in Science and Engineering, 2005

  4. D. Boffi, L. Gastaldi, L. Heltai
    Stability results and algorithmic strategies for the finite element approach to the immersed boundary method
    Proceeding of the Sixth European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2005), pages 557-566, 2005

  5. M. Calhoun-Lopez, M. D. Gunzburger
    A Finite Element, Multiresolution Viscosity Method for Hyperbolic Conservation Laws
    SIAM J. Numer. Anal., vol. 43, pp. 1988-2011, 2005

  6. B. Carnes, N. Djilali
    Systematic parameter estimation for PEM fuel cell models
    Journal of Power Sources, vol. 144, pp. 83-93, 2005

  7. B. Cockburn, G. Kanschat, D. Schötzau
    A locally conservative LDG method for the incompressible Navier- Stokes equations
    Math. Comput., vol. 74, pp. 1067-1095, 2005

  8. B. Cockburn, G. Kanschat, D. Schötzau
    The Local Discontinuous Galerkin Method for Linear Incomressible Fluid Flow: a Review
    Comput. & Fluids, vol. 34, pp. 491-506, 2005

  9. R. Hartmann
    Discontinuous Galerkin methods for compressible flows: higher order accuracy, error estimation and adaptivity
    In H. Deconinck and M. Ricchiuto, editors, VKI LS 2006-01: CFD - Higher Order Discretization Methods, November 14-18, 2005, Rhode Saint Genese, Belgium.
    von Karman Institute for Fluid Dynamics (2005)

  10. A. Joshi
    Adaptive finite element methods for fluorescence enhanced optical tomography
    Ph.D. thesis, Texas A&M University, 2005

  11. A. Joshi, W. Bangerth, A. B. Thompson, E. Sevick-Muraca
    Experimental fluorescence optical tomography using adaptive finite elements and planar illumination with modulated excitation light
    Progress in Biomedical Optics and Imaging, vol. 6, pp. 351-358, 2005

  12. G. Kanschat
    Block Preconditioners for LDG Discretizations of Linear Incompressible Flow Problems
    J. Sci. Comput., vol. 22, pp. 381-394, 2005

  13. O. Kayser-Herold, H. G. Matthies
    Least squares finite element methods for fluid-structure interaction problems
    Computers & Structures, vol. 83, pp. 191-207, 2005

  14. R. Li
    On multi-mesh h-adaptive methods
    J. Sci. Comput., vol. 24, pp. 321-341, 2005
    (This paper uses AFEPack which in turn uses deal.II's linear algebra library.)

  15. M. Mu
    PDE.MART: A network-based problem-solving environment for PDEs
    ACM Trans. Math. Software, vol. 31, pp. 508-531, 2005

  16. B. Nestler, D. Danilov, P. Galenko
    Crystal growth of pure substances: Phase-field simulations in comparison with analytical and experimental results
    Journal of Computational Physics, vol. 207, pp. 221-239, 2005

  17. Q. Ouyang, K. Xiu
    Simulation Study of Reduced Self-Heating in Novel Thin-SOI Vertical Bipolar Transistors
    Simulation of Semiconductor Processes and Devices, pp. 55-58, 2005

  18. M. Polner
    Galerkin least-squares stabilization operators for the Navier-Stokes equations, A unified approach
    Ph.D. thesis, University of Twente, The Netherlands, 2005

  19. R. B. Schulz, G. Echner, H. Ruehle, W. Stroh, J. Vierling, T. Vogt, J. Peter, W. Semmler
    Development of a fully rotational non-contact fluorescence tomographer for small animals
    IEEE Micro-imaging Conference, IEEE Nuclear Science Symposium Conference Record, pp. 2391-2393, 2005

  20. R. B. Schulz, J. Peter, W. Semmler, C. D'andrea, G. Valentini, R. Cubeddu
    Quantifiability and Image Quality in Noncontact Fluorescence Tomography
    in: Photon Migration and Diffuse-Light Imaging II, K. Licha and R. Cubeddu (eds.), SPIE press, 2005

Publications in 2004

  1. W. Bangerth,
    A framework for the adaptive finite element solution of large inverse problems. I. Basic techniques
    ICES Report 2004-39, 2004.

  2. W. Bangerth, M. Grote, C. Hohenegger
    Finite Element Method For Time Dependent Scattering: Nonreflecting Boundary Condition, Adaptivity, and Energy Decay
    Computer Methods in Applied Mechanics and Engineering, vol. 193, pp. 2453-2482, 2004

  3. D. Boffi, L. Gastaldi, L. Heltai
    A finite element approach to the immersed boundary method
    Progress in Engineering Computational Technology, vol. 12, pp. 271-298, 2004

  4. G. Carey, M. Anderson, B. Carnes, B. Kirk
    Some aspects of adaptive grid technology related to boundary and interior layers
    Journal of Computational and Applied Mathematics, vol. 166, pp. 55-86, 2004

  5. G. Carey, W. Barth, J. A. Woods, B. Kirk, M. Anderson, S. Chow, W. Bangerth
    Modeling error and constitutive relations in simulation of flow and transport
    International Journal for Numerical Methods in Fluids, vol. 46, pp. 1211-1236, 2004

  6. S. Chow, G. F. Carey, M. L. Anderson
    Finite element approximations of a glaciology problem.
    ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), vol. 38, pp. 741-756, 2004.

  7. R. Hartmann and P. Houston
    Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals
    in M. Feistauer, V. Doleji, P. Knobloch and K. Najzar, editors, Numerical Mathematics and Advanced Applications, ENUMATH 2003, pp. 410-419, Springer-Verlag, 2004
    (BibTeX entry)

  8. U. Hasler, A. Schneebeli, D. Schötzau
    Mixed finite element approximation of incompressible MHD problems based on weighted regularization
    Applied Numerical Mathematics, vol. 51, pp. 19-45, 2004

  9. A. Joshi, W. Bangerth, E. Sevick-Muraca
    Adaptive finite element modeling of optical fluorescence-enhanced tomography
    Optics Express, vol. 12, pp. 5402-5417, 2004

  10. A. Joshi, A. B. Thompson, W. Bangerth, E. Sevick-Muraca
    Adaptive finite element methods for forward modeling in fluorescence enhanced frequency domain optical tomography
    Proceedings of the 2004 OSA Biomedical Topical Meetings, 2004

  11. A. Joshi, W. Bangerth, A. B. Thompson, E. Sevick-Muraca
    Adaptive finite element methods for fluorescence enhanced frequency domain optical tomography: Forward imaging problem
    Proceedings of the 2004 IEEE International Symposium on Biomedical Imaging, 2004

  12. G. Kanschat
    Multi-level methods for discontinuous Galerkin FEM on locally refined meshes
    Comput. & Struct., vol. 82, pp. 2437-2445, 2004

  13. J. Ramirez, M. Laso
    Micro-macro simulations of three-dimensional plane contraction flow
    Modelling Simul. Mater. Sci. Eng., vol. 12, pp. 1293-1306, 2004

  14. R. B. Schulz, W. Bangerth, J. Peter, W. Semmler
    Independent modeling of fluorescence excitation and emission with the finite element method
    Proceedings of the OSA BIOMED topical meeting, Miami, Florida, 14-18 April 2004

  15. E. Zander, J. R. Weimar, H. G. Mathies
    Simulation of High-Frequency Atmospheric Gas Discharges
    PAMM, vol. 4, pp. 428-429, 2004

Publications in 2003

  1. S. Achatz
    Adaptive finite Dünngitter-Elemente höherer Ordnung für elliptische partielle Differentialgleichungen mit variablen Koeffizienten
    Ph.D. thesis, TU Munich, 2003

  2. W. Bangerth
    Starting threads in a C++ compatible fashion
    C/C++ Users Journal, October 2003, pp. 21-24

  3. W. Bangerth, R. Rannacher
    Adaptive Finite Element Methods for Solving Differential Equations
    Book, Birkhäuser, 2003

  4. M. Calhoun-Lopez
    Numerical solutions of hyperbolic conservation laws: Incorporating multi-resolution viscosity methods into the finite element framework
    Ph.D. thesis, Iowa State University, 2003

  5. B. Carnes
    Adaptive finite elements for nonlinear transport equations
    Ph.D. thesis, ICES, The University of Texas at Austin, 2003

  6. B. Cockburn, G. Kanschat, D. Schötzau
    LDG methods for Stokes flow problems
    in Brezzi, Buffa, Corsaro, Murli: Numerical Mathematics and Advanced Applications: ENUMATH 2001, Springer Italia, 2003
    (Abstract )

  7. B. Cockburn, G. Kanschat, D. Schötzau
    The Local Discontinuous Galerkin Method for the Oseen Equations
    Math. Comput., vol. 73, pp. 569-593, 2003
    (Abstract)

  8. J. Gopalakrishnan, G. Kanschat
    Application of unified DG analysis to preconditioning DG methods
    in Bathe: Computational Fluid and Solid Mechanics, pp. 1943-1945, 2003

  9. J. Gopalakrishnan, G. Kanschat
    A Multilevel Discontinuous Galerkin Method
    Numer. Math., vol. 95, pp. 527-550, 2003
    (Abstract, BibTeX entry, Postscript)

  10. Jay Gopalakrishnan, G. Kanschat
    Multi-level Preconditioners for the interior penalty method
    in Brezzi, Buffa, Corsaro, Murli: Numerical Mathematics and Advanced Applications: ENUMATH 2001, Springer Italia, 2003
    (Abstract)

  11. R. Hartmann and P. Houston
    Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals
    in T. Y. Hou and E. Tadmor, editors, Hyperbolic Problems: Theory, Numerics, Applications, pp. 579-588, Springer, 2003
    (Abstract, BibTeX entry)

  12. R. Hartmann and P. Houston
    Goal-Oriented A Posteriori Error Estimation for Compressible Fluid Flows
    In F. Brezzi, A. Buffa, S. Corsaro and A. Murli, editors, Numerical Mathematics and Advanced Applications, pp. 775-784, Springer, 2003
    (Abstract, BibTeX entry)

  13. G. Kanschat
    Discontinuous Galerkin Finite Element Methods for Advection-Diffusion Problems
    Habilitationsschrift, Universität Heidelberg, 2003

  14. G. Kanschat
    Preconditioning discontinuous Galerkin saddle point systems
    in Bathe: Computational Fluid and Solid Mechanics, pp. 2016-2018, 2003

  15. G. Kanschat
    Preconditioning methods for local discontinuous {G}alerkin Discretizations
    SIAM J. Sci. Comput., vol. 25, pp. 815-831, 2003

  16. A. Schneebeli, D. Schötzau
    Mixed finite elements for incompressible magneto-hydrodynamics
    Comptes Rendus Mathematique, vol. 337, pp. 71-74, 2003

  17. M. Stadler, G. A. Holzapfel, J. Korelc
    Cn continuous modelling of smooth contact surfaces using NURBS and application to 2D problems
    International Journal for Numerical Methods in Engineering, vol. 57, pp. 2177-2203, 2003

Publications in 2002

  1. W. Bangerth
    Adaptive Finite Element Methods for the Identification of Distributed Parameters in Partial Differential Equations
    Ph.D. thesis, University of Heidelberg, 2002
    (Abstract, BibTeX entry)

  2. S. Benkler
    Numerical solution of the nonlinear Hartree equation.
    Diploma thesis, ETH Zurich, Switzerland, 2002.

  3. B. Cockburn, G. Kanschat, D. Schötzau
    The local discontinuous Galerkin method in incompressible fluid flow
    in Mang, Rammerstorfer, Eberhardsteiner: Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Vienna University of Technology, 2002
    (Abstract, BibTeX entry, Postscript)

  4. B. Cockburn, G. Kanschat, D. Schötzau, C. Schwab
    Local discontinuous Galerkin methods for the Stokes system
    SIAM J. Numer. Anal., vol. 40, pp. 319-343, 2002
    (Abstract, BibTeX entry, Postscript)

  5. R. Hartmann
    Adaptive Finite Element Methods for the Compressible Euler Equations
    Ph.D. thesis, University of Heidelberg, 2002
    (Abstract, BibTeX entry)

  6. R. Hartmann and P. Houston
    Adaptive Discontinuous Galerkin Finite Element Methods for the Compressible Euler Equations
    J. Comput. Phys., vol. 183, pp. 508-532, 2002.
    (Abstract, BibTeX entry)

  7. R. Hartmann and P. Houston
    Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
    SIAM J. Sci. Comput., vol. 24, pp. 979-1004, 2002.
    (Abstract, BibTeX entry)

  8. G. Kanschat, Rolf Rannacher
    Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems
    J. Numer. Math., vol. 10, pp. 249-274, 2002
    (Abstract, BibTeX entry, Postscript)

  9. F. Mohamed, M. Troyer, G. Blatter
    Interaction of vortices in superconductors with kappa close to 1/sqrt(2),
    Phys. Rev. B, vol. 65, article 224504, 2002.

  10. T. Shardlow
    A coupled Cahn-Hilliard particle system
    Electronic Journal of Differential Equations, vol. 2002, No. 73, pp. 1-21, 2002

  11. M. Stadler, G. A. Holzapfel
    A novel approach for smooth contact surfaces using NURBS: application to the FE simulation of stenting
    Proceedings of the 13th Conference of the European Society of Biomechanics, 1-4 September 2002, Wroclaw, Poland.

Publications in 2001

  1. A. Barinka, T. Barsch, P. Charton, A. Cohen, S. Dahlke, W. Dahmen, K. Urban
    Adaptive wavelet schemes for elliptic problems—implementation and numerical experiments
    SIAM J. Sci. Comput., vol. 23, pp. 910-939, 2001

  2. B. Cockburn, G. Kanschat, Ilaria Perugia, D. Schötzau
    Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
    SIAM J. Numer. Anal. 39 (1), pp. 264-285, 2001
    (Abstract, BibTeX entry, Postscript)

  3. T. Richter
    Funktionalorientierte Gitteroptimierung bei der Finite-Elemente Approximation elliptischer Differentialgleichungen
    Diploma thesis, University of Heidelberg, 2001 (in German)
    (Abstract)

Publications in 2000

  1. W. Bangerth
    Mesh Adaptivity and Error Control for a Finite Element Approximation of the Elastic Wave Equation
    Proceedings of the Waves2000 conference, held in Santiago de Compostela, Spain, July 10-14, 2000
    (Abstract, BibTeX entry)

  2. W. Bangerth
    Multi-threading support in deal.II
    Preprint 2000-11 (SFB 359), IWR Heidelberg, October 1999.
    This paper is also available online.
    (Abstract, BiBTeX entry)

  3. W. Bangerth
    Using Modern Features of C++ for Adaptive Finite Element Methods: Dimension-Independent Programming in deal.II
    Proceedings of the 16th IMACS World Congress, Lausanne, Switzerland, 2000
    This paper is also available online.
    (Abstract, BibTeX entry)

  4. R. Hartmann
    Adaptive FE-Methods for Conservation Equations
    In Heinrich Freistühler and Gerald Warnecke, eds. Hyperbolic problems: theory, numerics, applications: eighth international conference in Magdeburg, 2000.
    International series of numerical mathematics 141: 495-503. Birkhäuser, Basel 2001.
    (Abstract, BibTeX entry)

  5. F. Mohamed
    Interaction of vortices in superconductors with kappa close to 1/sqrt(2),
    Diploma thesis, ETH Zurich, 2000.

Publications in 1999

  1. W. Bangerth and G. Kanschat
    Concepts for object-oriented finite element software - the deal.II library
    Preprint 99-43 (SFB 359), IWR Heidelberg, October 1999.
    (Abstract, BibTeX entry)

  2. W. Bangerth, R. Rannacher
    Adaptive finite element approximation of the acoustic wave equation: Error estimation and mesh adaptation
    East-West Journal of Numerical Mathematics, vol. 7, no. 4 (1999), pp. 263-282
    (Abstract, BibTeX entry)

  3. W. Bangerth, R. Rannacher
    Adaptive finite element techniques for the acoustic wave equation
    Journal of Computational Acoustics, vol. 9, no. 2 (2001), pp. 575-591
    (Abstract, BibTeX entry)

  4. S. Nauber
    Adaptive Finite Elemente Verfahren für selbstadjungierte Eigenwertprobleme
    Diploma thesis, University of Heidelberg, 1999 (in German)

Publications in 1998

  1. W. Bangerth
    Adaptive Finite-Elemente-Methoden zur Lösung der Wellengleichung mit Anwendung in der Physik der Sonne
    Diploma thesis, University of Heidelberg, 1998 (in German)
    (Abstract, BibTeX entry)


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