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.
If you write a paper using results obtained with the help of deal.II, please cite one or both of the following references:
@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} }
@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} }
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:
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:
Special Issue: SPEC CPU2006 analysis (Editor: John Henning)
ACM SIGARCH Computer Architecture News, vol. 35, issue 1, 2007.
M. S. Alnæs, K.-A. Mardal
Symbolic computations and code generation for finite
element methods
ACM Transactions on Mathematical Software, submitted,
2009
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
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
F. Freddi, G. Royer-Carfagni
From Non-Linear Elasticity to Linearized Theory:
Examples Defying Intuition
J. of Elasticity, in press, 2009
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
G. Kanschat
Robust smoothers for high order discontinuous Galerkin
discretizations of advection-diffusion problems
J. Comput. Appl. Math., 2008, in press
(Preprint)
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.
D. Schötzau, L. Zhu
A robust a-posteriori error estimator for discontinuous
Galerkin methods for convection-diffusion equations
Appl. Numer. Math., to appear, 2008
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
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
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
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
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
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
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
B. Brendel, R. Ziegler, T. Nielsen
Algebraic reconstruction techniques for spectral
reconstruction in diffuse optical tomography
Applied Optics, vol. 47, pp. 6392-6403, 2008
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
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
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
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
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
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
R. Hartmann
Multitarget error estimation and adaptivity in aerodynamic flow simulations
SIAM J. Sci. Comput., vol. 31, no. 1, pp. 708-731, 2008
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
L. Heltai
On the stability of the finite element immersed
boundary method,
Computers and Structures, vol. 86, pp. 598-617, 2008
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
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
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
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.
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
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
K. Schmid
Theory and numerics of a reconstruction algorithm for a
problem from acoustic microscopy
Diploma thesis, Technical University of Munich, Germany,
2008
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
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
T. Wick
Untersuchung von Kopplungsmechanismen von
Fluid-Struktur-Interaktion
Master's thesis, Universität Siegen, Germany, 2008
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
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
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
E. Bängtsson, M. Neytcheva
Finite Element Block-Factorized Preconditioners
Technical Report 2007-008, Uppsala University, Sweden, 2007
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)
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
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
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
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
F. Freddi, M. Frémond
Collision and Fractures: a predictive theory
Proceedings of the EuroSim Conference, Lubiana, Slovenia,
9-13 September, 2007
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
T. Ha, C. Shin
Magnetotelluric inversion via reverse time migration
algorithm of seimic data
J. Comput. Phys., vol. 225, pp. 237-262, 2007
R. Hartmann
Adjoint consistency analysis of Discontinuous Galerkin discretizations
SIAM J. Numer. Anal., vol. 45, no. 6, pp. 2671-2696, 2007
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
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
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
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
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
A. Nigro
Discontinuous Galerkin Methods for inviscid low Mach
number flows
Ph.D. thesis, University of Calabria, 2007
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
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
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
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
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
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
M. Allmaras
Optimal Design of Periodic Microstructures by the
Inverse Homogenization Method
Diploma Thesis, Technical University Munich, Germany, 2006
N. Antonic, M. Vrdoljak
Sequential laminates in multiple state optimal design problems
Mathematical Problems in Engineering, vol. 2006, pp. 1-14, 2006
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
E. Bängtsson, B. Lund
A comparison between two approaches to solve the equations of
isostasy
Technical Report 2006-051, Uppsala University, Sweden, 2006
E. Bängtsson, M. Neytcheva
Numerical simulations of glacial rebound using
preconditioned iterative solution methods
Applications of Mathematics, vol. 50, pp. 183-201, 2006
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
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
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
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
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
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
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
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
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.
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
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
A. Joshi, W. Bangerth, E. Sevick-Muraca
Non-contact fluorescence optical tomography with scanning
patterned illumination
Optics Express, vol. 14,
pp. 6516-6534, 2006
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
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
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
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
T. Leicht
Anisotropic Mesh Refinement for Discontinuous Galerkin
Methods in Aerodynamic Flow Simulations
Diploma thesis, TU Dresden, 2006
Available online through this link
D. Oeltz
Ein Raum-Zeit Dünngitterverfahren zur Diskretisierung
parabolischer Differentialgleichungen
Ph.D. thesis, University of Bonn, Germany, 2006
M. Schmidt
Low-dimensional I/O modeling of distributed parameter
systems
Proc. Appl. Math. Mech., vol. 6, pp. 15-18, 2006
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
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
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
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
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
B. Carnes, N. Djilali
Systematic parameter estimation for PEM fuel cell models
Journal of Power Sources, vol. 144, pp. 83-93, 2005
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
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
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)
A. Joshi
Adaptive finite element methods for fluorescence enhanced
optical tomography
Ph.D. thesis, Texas A&M University, 2005
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
G. Kanschat
Block Preconditioners for LDG Discretizations of
Linear Incompressible Flow Problems
J. Sci. Comput., vol. 22, pp. 381-394, 2005
O. Kayser-Herold, H. G. Matthies
Least squares finite element methods for fluid-structure
interaction problems
Computers & Structures, vol. 83, pp. 191-207, 2005
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.)
M. Mu
PDE.MART: A network-based problem-solving environment
for PDEs
ACM Trans. Math. Software, vol. 31, pp. 508-531, 2005
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
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
M. Polner
Galerkin least-squares stabilization operators for the
Navier-Stokes equations, A unified approach
Ph.D. thesis, University of Twente, The Netherlands, 2005
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
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
W. Bangerth,
A framework for the adaptive finite element solution
of large inverse problems. I. Basic techniques
ICES Report 2004-39, 2004.
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
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
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
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
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.
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)
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
A. Joshi, W. Bangerth, E. Sevick-Muraca
Adaptive finite element modeling of optical
fluorescence-enhanced tomography
Optics Express, vol. 12, pp. 5402-5417, 2004
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
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
G. Kanschat
Multi-level methods for discontinuous Galerkin FEM on locally refined meshes
Comput. & Struct., vol. 82, pp. 2437-2445, 2004
J. Ramirez, M. Laso
Micro-macro simulations of three-dimensional plane
contraction flow
Modelling Simul. Mater. Sci. Eng., vol. 12, pp. 1293-1306, 2004
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
E. Zander, J. R. Weimar, H. G. Mathies
Simulation of High-Frequency Atmospheric Gas Discharges
PAMM, vol. 4, pp. 428-429, 2004
S. Achatz
Adaptive finite Dünngitter-Elemente höherer Ordnung
für elliptische partielle Differentialgleichungen mit variablen
Koeffizienten
Ph.D. thesis, TU Munich, 2003
W. Bangerth
Starting threads in a C++ compatible fashion
C/C++ Users Journal, October 2003, pp. 21-24
W. Bangerth, R. Rannacher
Adaptive Finite Element Methods for Solving Differential Equations
Book, Birkhäuser, 2003
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
B. Carnes
Adaptive finite elements for nonlinear transport equations
Ph.D. thesis, ICES, The University of Texas at Austin, 2003
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
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B. Cockburn,
G. Kanschat,
D. Schötzau
The Local Discontinuous Galerkin Method for the Oseen Equations
Math. Comput., vol. 73, pp. 569-593, 2003
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J. Gopalakrishnan,
G. Kanschat
Application of unified DG analysis to preconditioning DG methods
in Bathe: Computational Fluid and Solid Mechanics, pp. 1943-1945, 2003
J. Gopalakrishnan,
G. Kanschat
A Multilevel Discontinuous Galerkin Method
Numer. Math., vol. 95, pp. 527-550, 2003
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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
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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
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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
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G. Kanschat
Discontinuous Galerkin Finite Element Methods for Advection-Diffusion Problems
Habilitationsschrift, Universität Heidelberg, 2003
G. Kanschat
Preconditioning discontinuous Galerkin saddle point systems
in Bathe: Computational Fluid and Solid Mechanics, pp. 2016-2018, 2003
G. Kanschat
Preconditioning methods for local discontinuous {G}alerkin Discretizations
SIAM J. Sci. Comput., vol. 25, pp. 815-831, 2003
A.
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Mixed finite elements for incompressible magneto-hydrodynamics
Comptes Rendus Mathematique, vol. 337, pp. 71-74, 2003
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
W. Bangerth
Adaptive Finite Element Methods for the
Identification of Distributed Parameters in
Partial Differential Equations
Ph.D. thesis, University of Heidelberg, 2002
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S. Benkler
Numerical solution of the nonlinear Hartree equation.
Diploma thesis, ETH Zurich, Switzerland, 2002.
B. Cockburn,
G. Kanschat, D.
Schötzau
The local discontinuous Galerkin method in
incompressible fluid flow
in Mang, Rammerstorfer, Eberhardsteiner: Proceedings of the
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Vienna University of Technology, 2002
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B. Cockburn,
G. Kanschat, D.
Schötzau, C. Schwab
Local discontinuous Galerkin methods for the Stokes
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R. Hartmann
Adaptive Finite Element Methods for the Compressible
Euler Equations
Ph.D. thesis, University of Heidelberg, 2002
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R. Hartmann and P. Houston
Adaptive Discontinuous Galerkin Finite Element
Methods for the Compressible Euler Equations
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R. Hartmann and P. Houston
Adaptive Discontinuous Galerkin Finite Element
Methods for Nonlinear Hyperbolic Conservation Laws
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G. Kanschat, Rolf Rannacher
Local error analysis of the interior penalty
discontinuous Galerkin method for second order elliptic problems
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F. Mohamed, M. Troyer, G. Blatter
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T. Shardlow
A coupled Cahn-Hilliard particle system
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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
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A. Barinka, T. Barsch, P. Charton, A. Cohen, S. Dahlke,
W. Dahmen, K. Urban
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B. Cockburn, G. Kanschat, Ilaria Perugia, D.
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Superconvergence of the Local Discontinuous Galerkin
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T. Richter
Funktionalorientierte Gitteroptimierung bei der Finite-Elemente
Approximation elliptischer Differentialgleichungen
Diploma thesis, University of Heidelberg, 2001 (in German)
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W. Bangerth
Mesh Adaptivity and Error Control for a Finite Element
Approximation of the Elastic Wave
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Proceedings of the Waves2000 conference,
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W. Bangerth
Multi-threading support in deal.II
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W. Bangerth
Using Modern Features of C++ for Adaptive Finite
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R. Hartmann
Adaptive FE-Methods for Conservation Equations
In Heinrich Freistühler and Gerald Warnecke, eds.
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F. Mohamed
Interaction of vortices in superconductors with
kappa close to 1/sqrt(2),
Diploma thesis, ETH Zurich, 2000.
W. Bangerth and
G. Kanschat
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software - the deal.II
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Preprint 99-43 (SFB 359), IWR Heidelberg, October 1999.
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W. Bangerth, R. Rannacher
Adaptive finite element approximation of the acoustic wave
equation: Error estimation and mesh adaptation
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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
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S. Nauber
Adaptive Finite Elemente Verfahren für
selbstadjungierte Eigenwertprobleme
Diploma thesis, University of Heidelberg, 1999 (in German)
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)
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