- Menno R. T. Fraters, Magali I. Billen, Rene Gassmöller, Arushi Saxena, Timo Heister, Haoyuan Li, Daniel Douglas, Juliane Dannberg, Wolfgang Bangerth, and Yijun Wang:
The Geodynamic World Builder: A planetary structure creator for the geosciences
Journal of Open Source Software, 9(101), 6671, 2024.
[DOI]
- Timo Heister, Maxim A. Olshanskii, Vladimir Yushutin:
An adaptive stabilized trace finite element method for surface PDEs
Computers & Mathematics with Applications, Volume 171, 2024, Pages 164-174, ISSN 0898-1221.
[DOI]
[arxiv]
-
Daniel Arndt, Wolfgang Bangerth, Maximilian Bergbauer, Marco Feder, Marc Fehling, Johannes Heinz, Timo Heister, Luca Heltai, Martin Kronbichler, Matthias Maier, Peter Munch, Jean-Paul Pelteret, Bruno Turcksin, David Wells, Stefano Zampini:
The deal.II Library, Version 9.5
Journal of Numerical Mathematics, vol. 31, no. 3, 2023, pp. 231-246.
[preprint]
[DOI]
[bibtex]
@Article{dealII95,
title = {The \texttt{deal.II} Library, Version 9.5},
author = {Daniel Arndt and Wolfgang Bangerth and Maximilian Bergbauer and
Marco Feder and Marc Fehling and Johannes Heinz and
Timo Heister and Luca Heltai and Martin Kronbichler and
Matthias Maier and Peter Munch and Jean-Paul Pelteret and
Bruno Turcksin and David Wells and Stefano Zampini},
journal = {Journal of Numerical Mathematics},
year = {2023},
doi = {10.1515/jnma-2023-0089},
pages = {231--246},
volume = {31},
number = {3},
url = {https://dealii.org/deal95-preprint.pdf}
}
- Arushi Saxena,
Juliane Dannberg,
Rene Gassmoeller,
Menno Fraters,
Timo Heister,
Richard Styron:
High-resolution mantle flow models reveal importance of plate boundary geometry and slab pull forces on generating tectonic plate motions
Journal of Geophysical Research: Solid Earth, 128, e2022JB025877. 2023.
[DOI]
- Robert Myhill, Sanne Cottaar, Timo Heister, Ian Rose, Cayman Unterborn, Juliane Dannberg, Rene Gassmoeller:
BurnMan - a Python toolkit for planetary geophysics, geochemistry and thermodynamics
Journal of Open Source Software, 8(87), 5389. 2023.
[DOI]
- Grant Thomas Euen, Shangxin Liu, Rene Gassmöller, Timo Heister, and Scott David King:
A Comparison of 3-D Spherical Shell Thermal Convection results at Low to Moderate Rayleigh Number using ASPECT (version 2.2.0) and CitcomS (version 3.3.1)
Geoscientific Model Development, 2023, 16, 3221-3239.
[DOI]
[bibtex]
@Article{EuenShellBenchmark2022,
author = {Grant Thomas Euen and Shangxin Liu and Rene Gassm\"oller and Timo Heister and Scott David King},
journal = {Geoscientific Model Development},
title = {A Comparison of {3-D} Spherical Shell Thermal Convection results at Low to Moderate Rayleigh Number using {ASPECT} (version 2.2.0) and {CitcomS} (version 3.3.1)},
year = {2023},
number = {11},
pages = {3221--3239},
volume = {16},
doi = {10.5194/gmd-16-3221-2023},
url = {https://gmd.copernicus.org/articles/16/3221/2023/},
}
- Maaike Weerdesteijn, John Naliboff, Clinton Conrad, Jesse Reusen, Rebekka Steffen, Timo Heister, Jiaqi Zhang:
Modeling viscoelastic solid earth deformation due to ice age and contemporary glacial mass changes in ASPECT
Geochemistry, Geophysics, Geosystems, 2023, 24, e2022GC010813.
[DOI]
[bibtex]
@Article{WeerdesteijnIceLoading2022,
author = {Weerdesteijn, Maaike F. M. and Naliboff, John B. and Conrad, Clinton P. and Reusen, Jesse M. and Steffen, Rebekka and Heister, Timo and Zhang, Jiaqi},
title = {Modeling Viscoelastic Solid Earth Deformation Due To Ice Age and Contemporary Glacial Mass Changes in {ASPECT}},
journal = {Geochemistry, Geophysics, Geosystems},
year = {2023},
volume = {24},
number = {3},
pages = {e2022GC010813},
doi = {10.1029/2022GC010813},
}
- Peter Munch, Timo Heister, Laura Prieto Saavedra, Martin Kronbichler:
Efficient distributed matrix-free multigrid methods on locally refined meshes for FEM computations
ACM Transactions on Parallel Computing, 2023, 10, 1-38.
[arxiv]
[DOI]
[bibtex]
@Article{munch-gmg-gc,
author = {Peter Munch and Timo Heister and Laura Prieto Saavedra and Martin Kronbichler},
title = {Efficient Distributed Matrix-free Multigrid Methods on Locally Refined Meshes for {FEM} Computations},
journal = {{ACM} Transactions on Parallel Computing},
year = {2023},
volume = {10},
number = {1},
pages = {1--38},
month = mar,
doi = {10.1145/3580314},
publisher = {Association for Computing Machinery ({ACM})},
url = {https://arxiv.org/abs/2203.12292},
}
-
Daniel Arndt,
Wolfgang Bangerth,
Marco Feder,
Marc Fehling,
Rene Gassmöller,
Timo Heister,
Luca Heltai,
Martin Kronbichler,
Matthias Maier,
Peter Munch,
Jean-Paul Pelteret,
Simon Sticko,
Bruno Turcksin,
David Wells:
The deal.II Library, Version 9.4
Journal of Numerical Mathematics, 2022; 30(3):231-246.
[preprint]
[DOI]
[bibtex]
@article{dealII94,
title = {The \texttt{deal.II} Library, Version 9.4},
author = {Daniel Arndt and Wolfgang Bangerth and Marco Feder and
Marc Fehling and Rene Gassm{\"o}ller and Timo Heister
and Luca Heltai and Martin Kronbichler and
Matthias Maier and Peter Munch and Jean-Paul Pelteret
and Simon Sticko and Bruno Turcksin and David Wells},
journal = {Journal of Numerical Mathematics},
doi = {10.1515/jnma-2022-0054},
year = {2022},
volume = {30},
number = {3},
pages = {231-246},
url = {https://dealii.org/deal94-preprint.pdf}
}
- Timo Heister, Katrin Mang, Thomas Wick:
Schur-type preconditioning of a phase-field fracture model in mixed form
Proc. Appl. Math. Mech., 21: e202100065.
[DOI]
-
Daniel Arndt,
Wolfgang Bangerth,
Bruno Blais,
Marc Fehling,
Rene Gassmöller,
Timo Heister,
Luca Heltai,
Uwe Köcher,
Martin Kronbichler,
Matthias Maier,
Peter Munch,
Jean-Paul Pelteret,
Sebastian Proell,
Konrad Simon,
Bruno Turcksin,
David Wells,
Jiaqi Zhang:
The deal.II Library, Version 9.3
Journal of Numerical Mathematics. 2021.
[preprint]
[DOI]
- Thomas C. Clevenger, Timo Heister:
Comparison Between Algebraic and Matrix-free Geometric
Multigrid for a Stokes Problem on an Adaptive Mesh with
Variable Viscosity
Numerical Linear Algebra with Applications, 2021.
[DOI]
[arxiv]
[code]
- D. Arndt, W. Bangerth, D. Davydov, T. Heister,
L. Heltai, M. Kronbichler, M. Maier,
J.-P. Pelteret, B. Turcksin, D. Wells:
The deal.II finite element library: Design, features, and insights
Computers and Mathematics with Applications. 2021, 81, 407-422.
[arxiv]
[DOI]
[bibtex]
@Article{dealii2019design,
Title = {The {deal.II} finite element library: design, features, and insights},
Author = {Daniel Arndt and Wolfgang Bangerth and Denis Davydov and Timo Heister and Luca Heltai and Martin Kronbichler and Matthias Maier and Jean-Paul Pelteret and Bruno Turcksin and David Wells},
Journal = {Computers \& Mathematics with Applications},
Year = {2021},
Pages = {407-422},
Volume = {81},
Doi = {10.1016/j.camwa.2020.02.022},
ISSN = {0898-1221},
Url = {https://arxiv.org/abs/1910.13247}
}
- Timo Heister, Thomas Wick:
pfm-cracks: A parallel-adaptive framework for phase-field fracture propagation
Software Impacts, 2020.
[DOI]
[code]
[code capsule]
[bibtex]
@Article{pfmcracks,
Title = {pfm-cracks: A parallel-adaptive framework for phase-field fracture propagation},
Author = {Timo Heister and Thomas Wick},
Journal = {Software Impacts},
Year = {2020},
Month = {Nov},
Pages = {100045},
Doi = {10.1016/j.simpa.2020.100045},
Publisher = {Elsevier {BV}},
Url = {https://doi.org/10.1016/j.simpa.2020.100045}
}
- Thomas C. Clevenger, Timo Heister, Guido Kanschat, Martin Kronbichler:
A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM
ACM Trans. Math. Softw. 47, 1, Article 7 (December 2020).
[DOI]
[arxiv]
[code]
[bibtex]
@Article{clevenger_par_gmg,
Title = {{A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM}},
Author = {Thomas C. Clevenger and Timo Heister and Guido Kanschat and Martin Kronbichler},
Journal = {ACM Trans. Math. Softw.},
Year = {2020},
Month = {Dec},
Number = {1},
Volume = {47},
doi = {10.1145/3425193},
Url = {https://arxiv.org/abs/1904.03317}
}
-
J. Schröder, T. Wick, S. Reese, P. Wriggers, R. Müller, S. Kollmannsberger, M. Kästner, A. Schwarz, M. Igelbüscher, N. Viebahn, H. R. Bayat, S. Wulfinghoff, K. Mang, E. Rank, T. Bog, D. d'Angella, M. Elhaddad, P. Hennig, A. Düster, W. Garhuom, S. Hubrich, M. Walloth, W. Wollner, Ch. Kuhn, T. Heister:
A selection of benchmark problems in solid mechanics and applied mathematics
Archives of Computational Methods in Engineering, 2020.
[DOI]
[bibtex]
@Article{Schroeder2020,
Title = {A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics},
Author = {Schr\"{o}der, J\"{o}rg and Wick, Thomas and Reese, Stefanie and Wriggers, Peter and M\"{u}ller, Ralf and Kollmannsberger, Stefan and K\"{a}stner, Markus and Schwarz, Alexander and Igelb\"{u}scher, Maximilian and Viebahn, Nils and Bayat, Hamid Reza and Wulfinghoff, Stephan and Mang, Katrin and Rank, Ernst and Bog, Tino and D'Angella, Davide and Elhaddad, Mohamed and Hennig, Paul and D\"{u}ster, Alexander and Garhuom, Wadhah and Hubrich, Simeon and Walloth, Mirjam and Wollner, Winnifried and Kuhn, Charlotte and Heister, Timo},
Journal = {Archives of Computational Methods in Engineering},
Year = {2020},
Doi = {10.1007/s11831-020-09477-3},
Url = {https://doi.org/10.1007/s11831-020-09477-3}
}
-
Daniel Arndt,
Wolfgang Bangerth,
Bruno Blais,
Thomas C. Clevenger,
Marc Fehling,
Alexander V. Grayver,
Timo Heister,
Luca Heltai,
Martin Kronbichler,
Matthias Maier,
Peter Munch,
Jean-Paul Pelteret,
Reza Rastak,
Ignacio Thomas,
Bruno Turcksin,
Zhuoran Wang,
David Wells:
The deal.II Library, Version 9.2
Journal of Numerical Mathematics, 28(3), 131-146. 2020.
[preprint]
[DOI]
[bibtex]
@article{dealII92,
title = {The \texttt{deal.II} Library, Version 9.2},
author = {Daniel Arndt and Wolfgang Bangerth and Bruno Blais and
Thomas C. Clevenger and Marc Fehling and Alexander V. Grayver and
Timo Heister and Luca Heltai and Martin Kronbichler and Matthias Maier and
Peter Munch and Jean-Paul Pelteret and Reza Rastak and
Ignacio Thomas and Bruno Turcksin and Zhuoran Wang and David Wells},
journal = {Journal of Numerical Mathematics},
publisher = {De Gruyter},
year = {2020},
volume = {28},
number = {3},
pages = {131-146},
DOI = {10.1515/jnma-2020-0043},
url = {https://dealii.org/deal92-preprint.pdf}
}
- Feng Wang, Nathan Marshak, Will Usher, Carsten Burstedde, Aaron Knoll, Timo Heister, Chris R. Johnson:
CPU Ray Tracing of Tree-Based Adaptive Mesh Refinement Data
Computer Graphics Forum, 2020.
[preprint]
[www]
[DOI]
[bibtex]
@article{wang_tamr_20,
journal = {Computer Graphics Forum},
title = {{CPU Ray Tracing of Tree-Based Adaptive Mesh Refinement Data}},
author = {Wang, Feng and Marshak, Nathan and Usher, Will and Burstedde, Carsten and Knoll, Aaron and Heister, Timo and Johnson, Chris R.},
DOI = {10.1111/cgf.13958},
year = {2020},
}
- Rene Gassmöller, Juliane Dannberg, Wolfgang Bangerth, Timo Heister, Robert Myhill:
On Formulations of Compressible Mantle Convection
Geophysical Journal International, Volume 221, Issue 2, May 2020, Pages 1264–1280.
[DOI]
[code]
- D. Arndt, W. Bangerth, T. C. Clevenger, D. Davydov,
M. Fehling, D. Garcia-Sanchez, G. Harper, T. Heister,
L. Heltai, M. Kronbichler, R. M. Kynch, M. Maier,
J.-P. Pelteret, B. Turcksin, D. Wells:
The deal.II Library, Version 9.1
Journal of Numerical Mathematics, Volume 27, Issue 4, Pages 203-213, 2019.
[preprint]
[DOI]
[bibtex]
@Article{dealII91,
title = {The \texttt{deal.II} Library, Version 9.1},
author = {D. Arndt and W. Bangerth and T. C. Clevenger and D. Davydov and M. Fehling and D. Garcia-Sanchez and G. Harper and T. Heister and L. Heltai and M. Kronbichler and R. M. Kynch and M. Maier and J.-P. Pelteret and B. Turcksin and D. Wells},
journal = {Journal of Numerical Mathematics},
volume = {27},
number = {4},
pages = {203-213},
year = {2019},
DOI = {10.1515/jnma-2019-0064},
url = {https://dealii.org/deal91-preprint.pdf}
}
- Juliane Dannberg, Rene Gassmöller, Ryan Grove, Timo Heister:
A new formulation for coupled magma/mantle dynamics
Geophysical Journal International, Volume 219, Issue 1, 2019, Pages 94–107.
[arxiv]
[doi]
[code]
- L. H. Kellogg, L. J. Hwang, R. Gassmöller, W. Bangerth, T. Heister:
The role of scientific communities in creating reusable software: lessons from geophysics
Computing in Science Engineering, 2019, 21, 25-35. DOI: 10.1109/MCSE.2018.2883326
[DOI]
[bibtex]
@Article{KelloggCIG2018,
Title = {The Role of Scientific Communities in Creating Reusable Software: Lessons from Geophysics},
Author = {L. H. Kellogg and L. J. Hwang and R. Gassm{\"o}ller and W. Bangerth and T. Heister},
Journal = {Computing in Science Engineering},
Year = {2019},
Month = {March},
Number = {2},
Pages = {25-35},
Volume = {21},
Doi = {10.1109/MCSE.2018.2883326},
ISSN = {1521-9615}
}
- Sergey Charnyi, Timo Heister, Maxim A. Olshanskii, Leo G. Rebholz:
Efficient discretizations for the EMAC formulation of the incompressible Navier-Stokes equations
Applied Numerical Mathematics, 2019, 141, 220 - 233.
[DOI]
[arxiv]
- T. Heister, T. Wick:
Parallel solution, adaptivity, computational convergence, and open-source code of 2d and 3d pressurized phase-field fracture problems.
Proc. Appl. Math. Mech., 2018, e201800353.
[arxiv]
[code]
[DOI]
[bibtex]
@Article{wick-parallel-cracks-2018,
Title = {Parallel solution, adaptivity, computational convergence, and open-source code of 2d and 3d pressurized phase-field fracture problems},
Author = {Timo Heister and Thomas Wick},
Journal = {Proc. Appl. Math. Mech.},
Year = {2018},
Number = {1},
Pages = {e201800353},
Volume = {18},
Doi = {10.1002/pamm.201800353},
Eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.201800353},
}
- Denis Davydov, Timo Heister, Martin Kronbichler, Paul Steinmann:
Matrix-free locally adaptive finite element solution of
density-functional theory with nonorthogonal orbitals and
multigrid preconditioning
physica status solidi (b), 2018. doi: 10.1515/jnma-2016-1045
[DOI]
[bibtex]
@article{davydov-orbitals-2018,
Title = {Matrix-Free Locally Adaptive Finite Element Solution of Density-Functional Theory With Nonorthogonal Orbitals and Multigrid Preconditioning},
Author = {Denis Davydov and Timo Heister and Martin Kronbichler and Paul Steinmann},
Journal = {physica status solidi (b)},
Year = {2018},
Number = {0},
Volume = {0},
Doi = {10.1002/pssb.201800069},
Url = {https://doi.org/10.1002/pssb.201800069}
}
- Giovanni Alzetta, Daniel Arndt, Wolfgang Bangerth, Vishal Boddu,
Benjamin Brands, Denis Davydov, Rene Gassmöller, Timo Heister,
Luca Heltai, Katharina Kormann, Martin Kronbichler, Matthias Maier,
Jean-Paul Pelteret, Bruno Turcksin, David Wells:
The deal.II Library, Version 9.0
Journal of Numerical Mathematics, 2018, 26(4), 173-183.
[DOI]
[preprint]
[bibtex]
@Article{dealII90,
Title = {The \texttt{deal.II} Library, Version 9.0},
Author = {G. Alzetta and D. Arndt and W. Bangerth and V. Boddu and B. Brands and D. Davydov and R. Gassmoeller and T. Heister and L. Heltai and K. Kormann and M. Kronbichler and M. Maier and J.-P. Pelteret and B. Turcksin and D. Wells},
Journal = {Journal of Numerical Mathematics},
Year = {2018},
Number = {4},
Pages = {173--183},
Volume = {26},
Doi = {10.1515/jnma-2018-0054}
}
- Daniel Arndt, Wolfgang Bangerth, Denis Davydov, Timo Heister, Luca Heltai, Martin Kronbichler, Matthias Maier, Jean-Paul Pelteret, Bruno Turcksin, David Wells:
The deal.II Library, Version 8.5
Journal of Numerical Mathematics, 2017, 25(3), 137-146.
[preprint]
[DOI]
[bibtex]
@article{dealII85,
title = {The \texttt{deal.II} Library, Version 8.5},
author = {D. Arndt and W. Bangerth and D. Davydov and T. Heister and
L. Heltai and M. Kronbichler and M. Maier and J.-P. Pelteret
and B. Turcksin and D. Wells},
journal = {Journal of Numerical Mathematics},
year = {2017},
volume = 25,
number = 3,
pages = {137--146},
Doi = {10.1515/jnma-2016-1045}
}
- T. Heister, J. Dannberg, R. Gassmöller, W. Bangerth:
High Accuracy Mantle Convection Simulation through Modern Numerical Methods. II: Realistic Models and Problems
Geophys J Int, 2017, 210, 833-851.
[arxiv]
[DOI]
[code]
[bibtex]@Article{heister_aspect_methods2,
Title = {High Accuracy Mantle Convection Simulation through Modern Numerical Methods. {II}: {R}ealistic Models and Problems},
Author = {Heister, Timo and Dannberg, Juliane and Gassm{\"o}ller, Rene and Bangerth, Wolfgang},
Journal = {Geophysical Journal International},
Year = {2017},
Number = {2},
Pages = {833-851},
Volume = {210},
Doi = {10.1093/gji/ggx195}
}
- S. Charnyi, T. Heister, M.A. Olshanskii, L. Rebholz:
On conservation laws of Navier-Stokes Galerkin discretizations
Journal of Computational Physics, Volume 337, 15 May 2017, Pages 289-308, ISSN 0021-9991.
[arxiv]
[DOI]
[bibtex]
@Article{charnyi_emac,
Title = {On conservation laws of Navier-Stokes Galerkin discretizations},
Author = {Charnyi, S. and Heister, T. and Olshanskii, M.~A. and Rebholz, L.~G.},
Journal = {Journal of Computational Physics},
Year = {2017},
Pages = {289 - 308},
Volume = {337},
Doi = {http://doi.org/10.1016/j.jcp.2017.02.039},
ISSN = {0021-9991},
Keywords = {Navier–Stokes equations},
Url = {http://www.sciencedirect.com/science/article/pii/S002199911730133X}
}
- Ian Rose, Bruce Buffett, Timo Heister:
Stability and accuracy of free surface time integration in viscous flows
Physics of the Earth and Planetary Interiors, 2017, 262, 90 - 100.
[DOI]
[bibtex]
@Article{rose_freesurface,
Title = {Stability and accuracy of free surface time integration in viscous flows},
Author = {Ian Rose and Bruce Buffett and Timo Heister},
Journal = {Physics of the Earth and Planetary Interiors},
Year = {2017},
Pages = {90 - 100},
Volume = {262},
Doi = {http://dx.doi.org/10.1016/j.pepi.2016.11.007},
ISSN = {0031-9201},
Url = {http://www.sciencedirect.com/science/article/pii/S0031920116300954}
}
- Juliane Dannberg, Timo Heister:
Compressible Magma/Mantle Dynamics: 3d, Adaptive Simulations in ASPECT
Geophys. J. Int. (December, 2016) 207 (3): 1343-1366.
[DOI]
[bibtex]
@Article{dannberg_melt,
title={Compressible magma/mantle dynamics: {3D}, adaptive simulations in {ASPECT}},
author={Dannberg, J. and Heister, T.},
journal={Geophysical Journal International},
volume={207},
number={3},
pages={1343--1366},
year={2016},
publisher={Oxford University Press},
doi = {10.1093/gji/ggw329},
url = {http://dx.doi.org/10.1093/gji/ggw329}
}
[code]
- Timo Heister, Muhammad Mohebujjaman, Leo G. Rebholz:
Decoupled, unconditionally stable, higher order discretizations for MHD flow simulation
J Sci Comput (2017), Volume 71 , Issue 1, pp 21-43.
[preprint]
[DOI]
[bibtex]
@Article{heister_altered_bdf,
Title = {Decoupled, unconditionally stable, higher order discretizations for {MHD} flow simulation},
Author = {Timo Heister and Muhammad Mohebujjaman and Leo G. Rebholz},
Journal = {J Sci Comput},
volume={71},
number={1},
Year = {2017},
Pages = {21-43},
Doi = {10.1007/s10915-016-0288-4},
ISSN = {1573-7691},
Url = {http://dx.doi.org/10.1007/s10915-016-0288-4}
}
- Wolfgang Bangerth, Denis Davydov, Timo Heister, Luca Heltai, Guido Kanschat, Martin Kronbichler, Matthias Maier, Bruno Turcksin, David Wells:
The deal.II Library, Version 8.4
Journal of Numerical Mathematics, 2016, 24.
[DOI]
[preprint]
[bibtex]
@Article{dealII84,
Title = {The \texttt{deal.II} Library, Version 8.4},
Author = {W. Bangerth and D. Davydov and T. Heister and L. Heltai and G. Kanschat and M. Kronbichler and M. Maier and B. Turcksin and D. Wells},
Journal = {Journal of Numerical Mathematics},
Year = {2016},
Volume = {24},
Doi = {10.1515/jnma-2016-1045}
}
- Timo Heister, Leo G. Rebholz and Mengying Xiao:
Flux-preserving enforcement of inhomogeneous Dirichlet boundary conditions for strongly divergence-free mixed finite element methods for flow problems
Journal of Mathematical Analysis and Applications, 438(1), 507 - 513, 2016.
[DOI]
[bibtex]
@Article{heister_fluxpreserving,
Title = {Flux-preserving enforcement of inhomogeneous Dirichlet boundary conditions for strongly divergence-free mixed finite element methods for flow problems},
Author = {Timo Heister and Leo G. Rebholz and Mengying Xiao},
Year = {2016},
Number = {1},
Pages = {507 - 513},
Volume = {438},
Doi = {http://dx.doi.org/10.1016/j.jmaa.2016.01.075},
ISSN = {0022-247X},
Keywords = {Navier–Stokes equations},
Url = {http://www.sciencedirect.com/science/article/pii/S0022247X16001189}
}
- T. Heister, M.A. Olshanskii, L. Rebholz:
Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations
Numerische Mathematik, 2016, Pages 1-25.
[arxiv]
[DOI]
[bibtex]
@Article{heister_vort_long_time,
Title = {Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations},
Author = {T. Heister and M. A. Olshanskii and L. Rebholz},
Journal = {Numerische Mathematik},
Year = {2016},
Pages = {1--25},
Doi = {10.1007/s00211-016-0794-1},
ISSN = {0945-3245}
}
- M.A. Olshanskii, T. Heister, L. Rebholz, K. Galvin:
Natural vorticity boundary conditions on solid walls
CMAME, Volume 297, 1 December 2015, Pages 18-37.
[preprint]
[DOI]
[bibtex]
@Article{olshanskii_vort_bdry,
Title = {Natural vorticity boundary conditions on solid walls},
Author = {Maxim A. Olshanskii and Timo Heister and Leo G. Rebholz and Keith J. Galvin},
Journal = {Computer Methods in Applied Mechanics and Engineering},
Pages = {18 - 37},
Volume = {297},
ISSN = {0045-7825},
Doi = {http://dx.doi.org/10.1016/j.cma.2015.08.011},
Year = {2015}
}
- K. Dykema, T. Heister, K. Juschenko:
Finitely presented groups related to Kaplansky's Direct Finiteness Conjecture
Experimental Mathematics, Vol. 24, Iss. 3, 2015.
[DOI]
[arxiv]
[preprint]
[bibtex]
@Article{dykema_sofic,
Title = {Finitely Presented Groups Related to Kaplansky’s Direct Finiteness Conjecture},
Author = {Ken Dykema and Timo Heister and Kate Juschenko},
Year = {2015},
Journal = {Experimental Mathematics},
Number = {3},
Pages = {326-338},
Volume = {24},
Doi = {10.1080/10586458.2014.993051},
Url = { http://dx.doi.org/10.1080/10586458.2014.993051},
Owner = {heister},
Timestamp = {2012.08.27}
}
- J. Frohne, T. Heister, W. Bangerth:
Efficient numerical methods for the large-scale,
parallel solution of elastoplastic contact problems
Int. J. Numer. Meth. Engng, 105: 416–439.
[DOI]
[preprint]
[code]
[bibtex]
@Article{frohne_plasticity,
Title = {Efficient numerical methods for the large-scale, parallel solution of elastoplastic contact problems},
Author = {J. Frohne and T. Heister and W. Bangerth},
Journal = {Int. J. Numer. Meth. Engng},
Year = {2016},
Note = {nme.4977},
Number = {6},
Pages = {416--439},
Volume = {105},
Doi = {10.1002/nme.4977},
ISSN = {1097-0207},
Keywords = {elastoplasticity, contact problems, adaptive finite element methods, active set method, parallel computing},
Url = {http://dx.doi.org/10.1002/nme.4977}
}
- T. Heister, M. Wheeler, T. Wick:
A primal-dual active set method
and predictor-corrector mesh adaptivity
for computing fracture propagation using a phase-field approach
CMAME, Volume 290, 15 June 2015, Pages 466-495.
[DOI]
[preprint]
[code]
[bibtex]
@article{heister2015primal,
title={A primal-dual active set method and predictor-corrector
mesh adaptivity for computing fracture propagation
using a phase-field approach},
author={Heister, Timo and Wheeler, Mary F and Wick, Thomas},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={290},
pages={466--495},
year={2015},
number={0},
issn={0045-7825},
doi={10.1016/j.cma.2015.03.009},
url={http://dx.doi.org/10.1016/j.cma.2015.03.009}
}
- Cottaar, S., Heister, T., Rose, I., and Unterborn, C:
BurnMan - a lower mantle mineral physics toolkit
Geochemistry, Geophysics, Geosystems, 15.4 (2014): 1164-1179.
[preprint]
[DOI]
[bibtex]
@Article{burnman_codepaper,
Title = {BurnMan: A lower mantle mineral physics toolkit},
Author = {Cottaar, Sanne and Heister, Timo and Rose, Ian and Unterborn, Cayman},
Journal = {Geochemistry, Geophysics, Geosystems},
year = {2014},
pages = {1164--1179},
volume = {15},
number = {4},
Doi = {10.1002/2013GC005122},
ISSN = {1525-2027},
Keywords = {open-source software, elasticity},
Url = {http://dx.doi.org/10.1002/2013GC005122}
}
- W. Bangerth, T. Heister:
What Makes Computational Open Source Software Libraries Successful?
Computational Science & Discovery 6 (2013) 015010.
[DOI]
[preprint]
[bibtex]
@article{bangerth2013makes,
title={What makes computational open source software libraries successful?},
author={Bangerth, Wolfgang and Heister, Timo},
journal={Computational Science \& Discovery},
volume={6},
number={1},
pages={015010},
year={2013},
publisher={IOP Publishing},
url={http://stacks.iop.org/1749-4699/6/i=1/a=015010}
}
- M. Kronbichler, T. Heister, W. Bangerth:
High Accuracy Mantle Convection Simulation through Modern Numerical Methods
Geophysical Journal International, 2012, 191, 12-29.
[pdf preprint]
[bibtex]
[DOI]
@Article{bangerth_mantle,
Title = {High Accuracy Mantle Convection Simulation through Modern Numerical Methods},
Author = {M. Kronbichler and T. Heister and W. Bangerth},
Journal = {Geophysical Journal International},
Year = {2012},
Pages = {12-29},
Volume = {191},
Doi = {http://dx.doi.org/10.1111/j.1365-246X.2012.05609.x},
Owner = {heister},
Timestamp = {2010.03.29}
}
- T. Heister, G. Rapin:
Efficient Augmented Lagrangian-type Preconditioning for the Oseen Problem using Grad-Div Stabilization,
Int. J. Numer. Meth. Fluids, 2013, 71: 118-134.
[pdf preprint]
[bibtex]
[DOI]
@ARTICLE{heister_graddiv,
author = {Heister, T. and Rapin, G.},
title = {Efficient augmented {L}agrangian-type preconditioning for the {O}seen problem using {G}rad-{D}iv stabilization},
journal = {International Journal for Numerical Methods in Fluids},
volume = {71},
year = {2013},
pages = {118--134},
number = {1},
doi = {10.1002/fld.3654},
issn = {1097-0363},
publisher = {John Wiley \& Sons, Ltd},
url = {http://dx.doi.org/10.1002/fld.3654}
}
- W. Bangerth, C. Burstedde, T. Heister, M. Kronbichler:
Algorithms and Data Structures for Massively Parallel Generic Adaptive Finite Element Codes,
ACM Trans. Math. Softw., Volume 38(2) (2012)
[pdf preprint]
[bibtex]
[DOI]
@article{bangerth_distributed,
author = {Bangerth, W. and Burstedde, C. and Heister, T. and Kronbichler, M.},
title = {Algorithms and data structures for massively parallel generic adaptive
finite element codes},
journal = {ACM Trans. Math. Softw.},
year = {2012},
volume = {38},
number = {2},
}
- M. Olshanskii, G. Lube, T. Heister, J. Löwe:
Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes
equations,
Comput. Meth. Appl. Mech. Engrg. 198 (2009), 3975-3988.
[bibtex]
[DOI]
@ARTICLE{Olshanskii_graddiv,
author = {M. Olshanskii and G. Lube and T. Heister and J. L{\"o}we},
title = {Grad-div stabilization and subgrid pressure models for the incompressible
{N}avier-{S}tokes equations},
journal = {Comp. Meth. Appl. Mech. Engng.},
year = {2009},
volume = {198},
pages = {3975 - 3988},
number = {49-52},
doi = {DOI: 10.1016/j.cma.2009.09.005},
issn = {0045-7825},
keywords = {Navier-Stokes},
owner = {heister},
timestamp = {2010.04.01},
url = {http://www.sciencedirect.com/science/article/B6V29-4X6MSRW-2/2/4706a384c17e27ad45f67d5baf87555d}
}