This page lists publications and miscellaneous work of all members of the group.
[JLR24]
|
R. Jendersie, C. Lessig, and T. Richter.
Towards a gpu-parallelization of the nextsim-dg dynamical core.
submitted, 2024.
[ bib ]
|
[DMITRM24]
|
A. Daddi-Moussa-Ider, E. Tjhung, T. Richter, and A.M. Menzel.
Hydrodynamics of a thin disk in a weakly anisotropic liquid crystal
with friction.
submitted, 2024.
[ bib ]
|
[JLR23]
|
Robert Jendersie, Christian Lessig, and Thomas Richter.
Towards a gpu-parallelization of the nextsim-dg dynamical core.
submitted, 2023.
[ bib ]
|
[KKR23]
|
U. Kapustsin, U. Kaya, and T. Richter.
Error analysis for hybrid finite element/neural network
discretizations.
submitted, 2023.
[ bib ]
|
[KR23]
|
U. Kaya and T. Richter.
Local pressure-correction and explicit time integration for
incompressible flows.
submitted, 2023.
[ bib ]
|
[BRW23]
|
P. Benner, T. Richter, and R. Weinhandl.
A low-rank method for parameter-dependent fluid-structure interaction
discretizations with hyperelasticity.
submitted, 2023.
[ bib |
DOI |
arXiv ]
|
[GM23]
|
O. Gutjahr and C. Mehlmann.
Polar lows and their effects on sea ice and the upper ocean in the
iceland, greenland and labrador seas.
submitted, 2023.
[ bib |
https ]
|
[KMN23]
|
S. Kahl, C. Mehlmann, and D. Notz.
Modelling ice mélange based on the viscous-plastic sea-ice rheology.
submitted, 2023:1--14, 2023.
[ bib |
DOI |
https ]
|
[DMSW23]
|
S. Danilov, C. Mehlmann, D. Sidorenko, and Q. Wang.
Cd-type discretization for sea ice dynamics in fesom version 2.
submitted, 2023:1--17, 2023.
[ bib |
DOI |
https ]
|
[Meh23b]
|
C. Mehlmann.
Surface crouzeix-raviart element for the bochner laplacian equation.
submitted, 2023.
[ bib ]
|
[nR23]
|
M. Soszy nska and T. Richter.
A priori error analysis of multirate time-stepping schemes for
two-phase flow problems.
submitted, 2023.
[ bib ]
|
[Meh23a]
|
C. Mehlmann.
Analysis of a nonconforming finite element method for vector-valued
laplacians on the surface.
submitted, 2023.
[ bib ]
|
[MKT+22]
|
Moritz Mercker, Alexey Kazarnikov, Anja Tursch, Thomas Richter, Suat Özbek,
Thomas Holstein, and Anna Marciniak-Czochra.
Mutual inhibition model showing the capacity of
dickkopf-wnt/beta-catenin interplay to drive hydra body axis
self-organisation.
submitted, 2022.
[ bib ]
|
[MJRL21]
|
N. Margenberg, R. Jendersie, T. Richter, and C. Lessig.
Deep neural networks for geometric multigrid methods.
submitted, 2021.
[ bib |
arXiv ]
|
[hSMLS23]
|
Yu hsuan Shih, Carolin Mehlmann, Martin Losch, and Georg Stadler.
Robust and efficient primal-dual newton-krylov solvers for
viscous-plastic sea-ice models.
Journal of Computational Physics, 474:111802, feb 2023.
[ bib |
DOI ]
|
[GRB23b]
|
L. Gkimisis, T. Richter, and P. Benner.
Adjacency-based, non-intrusive reduced-order modeling for
fluid-structure interactions.
Computers and Fluids, 2023.
[ bib ]
|
[KKR23]
|
U. Kapustsin, U. Kaya, and T. Richter.
A hybrid finite element/neural network solver and its application to
the poisson problem.
Proceedings in Applied Mathematics and Mechanics, 2023.
[ bib |
DOI |
http ]
|
[DLR23]
|
D. Dominguez, L. Lautsch, and T. Richter.
A variational approach for temporal multiscale problems and its
application to adaptivity and optimization.
Proceedings in Applied Mathematics and Mechanics, 2023.
[ bib |
DOI ]
|
[MCD23]
|
C. Mehlmann, G. Capodaglio, and S. Danilov.
Simulating sea-ice deformation in viscous-plastic sea-ice models with
cd-grids.
Journal of Advances in Modeling Earth Systems,
15(8):e2023MS003696, 2023.
[ bib |
DOI ]
|
[RJU23]
|
Thomas Richter, Markus Janczyk, and Rolf Ulrich.
Diffusion models with time-dependent parameters: An analysis of
computational effort and accuracy of different numerical methods.
Journal of Mathematical Psychology, 114, 2023.
[ bib |
DOI ]
|
[HKL+23]
|
Cathy Hohenegger, Peter Korn, Leonidas Linardakis, René Redler, Reiner
Schnur, Panagiotis Adamidis, Jiawei Bao, Swantje Bastin, Milad Behravesh,
Martin Bergemann, Joachim Biercamp, Hendryk Bockelmann, Renate Brokopf, Nils
Brüggemann, Lucas Casaroli, Fatemeh Chegini, George Datseris, Monika Esch,
Geet George, Marco Giorgetta, Oliver Gutjahr, Helmuth Haak, Moritz Hanke,
Tatiana Ilyina, Thomas Jahns, Johann Jungclaus, Marcel Kern, Daniel Klocke,
Lukas Kluft, Tobias Kölling, Luis Kornblueh, Sergey Kosukhin, Clarissa
Kroll, Junhong Lee, Thorsten Mauritsen, Carolin Mehlmann, Theresa Mieslinger,
Ann Kristin Naumann, Laura Paccini, Angel Peinado, Divya Sri Praturi, Dian
Putrasahan, Sebastian Rast, Thomas Riddick, Niklas Roeber, Hauke Schmidt, Uwe
Schulzweida, Florian Schütte, Hans Segura, Radomyra Shevchenko, Vikram
Singh, Mia Specht, Claudia Christine Stephan, Jin-Song von Storch, Raphaela
Vogel, Christian Wengel, Marius Winkler, Florian Ziemen, Jochem Marotzke, and
Bjorn Stevens.
ICON-sapphire: simulating the components of the earth system and
their interactions at kilometer and subkilometer scales.
Geoscientific Model Development, 16(2):779--811, 2023.
[ bib |
DOI ]
|
[FJR23]
|
S. Frei, G. Judakova, and T. Richter.
A locally modified second-order finite element method for interface
problems and its implementation in 2 dimensions.
ESAIM: Mathematical Modelling and Numerical Analysis, 2023.
accepted.
[ bib |
https ]
|
[MR23]
|
P. Minakowski and T. Richter.
A priori and a posteriori error estimates for the deep ritz method
applied to the laplace and stokes problem.
Journal of Computational and Applied Mathematics, 421:114845,
2023.
[ bib |
DOI |
arXiv ]
|
[GRB23a]
|
L. Gkimisis, T. Richter, and P. Benner.
Adjacency-based, non-intrusive model reduction for vortex-induced
vibrations.
Proceedings in Applied Mathematics & Mechanics, 23(4), 2023.
[ bib |
DOI |
http ]
|
[RDLM23]
|
T. Richter, V. Dansereau, C. Lessig, and P. Minakowski.
The nextsim-dg dynamical core: A framework for higher-order finite
element sea ice modeling.
Geophysical Model Development, 2023.
[ bib |
DOI ]
|
[MG22]
|
Carolin Mehlmann and Oliver Gutjahr.
Discretization of sea ice dynamics in the tangent plane to the sphere
by a CD-grid-type finite element.
Journal of Advances in Modeling Earth Systems, nov 2022.
[ bib |
DOI ]
|
[dGR22]
|
P.H. de Almeida Konzen, L.F. Guidi, and T. Richter.
Quasi-random discrete ordinates method to radiative transfer equation
with linear anisotropic scattering.
Defect and Diffusion Forum, 427:109--119, 2022.
[ bib |
DOI ]
|
[RVHRT22]
|
S.J. Rodrigues, N. Vorhauer-Huget, T. Richter, and E. Tsotsas.
Influence of particle shape on tortuosity of non-spherical particle
packed beds.
Processes, 11(1):3, 2022.
[ bib |
DOI ]
|
[KBJ+22]
|
P. Korn, N. Brüggemann, J.H. Jungclaus, S.J. Lorenz, O. Gutjahr, H. Haak,
L. Linardakis, C. Mehlmann, U. Mikolajewicz, D. Notz, D.A. Putrasahan,
V. Singh, J.-S. von Storch, X. Zhu, and J. Marotzke.
ICON-o: The ocean component of the ICON earth system model -
global simulation characteristics and local telescoping capability.
Journal of Advances in Modeling Earth Systems, 2022.
accepted.
[ bib |
DOI ]
|
[JLS+22]
|
J. H. Jungclaus, S. J. Lorenz, H. Schmidt, V. Brovkin, N. Brüggemann,
F. Chegini, T. Crüger, P. De-Vrese, V. Gayler, M. A. Giorgetta, O. Gutjahr,
H. Haak, S. Hagemann, M. Hanke, T. Ilyina, P. Korn, J. Kröger,
L. Linardakis, C. Mehlmann, U. Mikolajewicz, W. A. Müller, J. E. M. S.
Nabel, D. Notz, H. Pohlmann, D. A. Putrasahan, T. Raddatz, L. Ramme,
R. Redler, C. H. Reick, T. Riddick, T. Sam, R. Schneck, R. Schnur,
M. Schupfner, J.-S. Storch, F. Wachsmann, K.-H. Wieners, F. Ziemen,
B. Stevens, J. Marotzke, and M. Claussen.
The ICON earth system model version 1.0.
Journal of Advances in Modeling Earth Systems, 14(4), 2022.
[ bib |
DOI ]
|
[DMF22]
|
S. Danilov, C. Mehlmann, and V. Fofonova.
On discretizing sea-ice dynamics on triangular meshes using vertex,
cell or edge velocities.
Ocean Modelling, 170:101937, 2022.
[ bib |
DOI ]
|
[MHLR22]
|
Nils Margenberg, Dirk Hartmann, Christian Lessig, and Thomas Richter.
A neural network multigrid solver for the navier-stokes equations.
Journal of Computational Physics, 460:110983, 2022.
[ bib |
DOI |
arXiv ]
|
[vWR22]
|
H. von Wahl and T. Richter.
Error estimate for the heat equation on a coupled moving domain in a
fully eulerian framework.
SIAM Journal on Numerical Analysis, 2022.
accepted.
[ bib |
arXiv ]
|
[MK21]
|
Carolin Mehlmann and Peter Korn.
Sea-ice dynamics on triangular grids.
Journal of Computational Physics, 428:110086, 2021.
[ bib |
DOI ]
|
[MLR21]
|
Nils Margenberg, Christian Lessig, and Thomas Richter.
Structure preservation for the deep neural network multigrid solver.
ETNA - Electronic Transactions on Numerical Analysis,
56:86--101, 2021.
[ bib |
DOI ]
|
[FRW21]
|
S. Frei, T. Richter, and T. Wick.
Locmodfe: Locally modified finite elements for approximating
interface problems in deal.ii.
Software Impacts, 8, 2021.
[ bib |
DOI ]
|
[vWRL21]
|
H. von Wahl, T. Richter, and C. Lehrenfeld.
An unfitted eulerian finite element method for the time-dependent
stokes problem on moving domains.
IMA Journal of Numerical Analysis, 2021.
[ bib |
DOI |
arXiv ]
|
[FMR21]
|
L. Failer, P. Minakowski, and T. Richter.
On the impact of fluid structure interaction in blood flow
simulations.
Vietnam Journal of Mathematics, 49(1):169--187, 2021.
[ bib |
DOI |
https ]
|
[LR21]
|
L. Lautsch and T. Richter.
Error estimation and adaptivity for differential equations with
multiple scales in time.
Computational Methods in Applied Mathemacics, 2021.
online first.
[ bib |
DOI |
arXiv ]
|
[HTR21]
|
T. Hagemeier, D. Thévenin, and T. Richter.
Settling of spherical particles in the transitional regime.
International Journal of Multiphase Flow, 138:103589, 2021.
[ bib |
DOI |
arXiv ]
|
[MRS21]
|
M. Minakowska, T. Richter, and S. Sager.
A finite element / neural network framework for modeling suspensions
of non-spherical particles. concepts and medical applications.
Vietnam Journal of Mathematics, 49(1):207--235, 2021.
[ bib |
DOI ]
|
[vWRFH21]
|
H. von Wahl, T. Richter, S. Frei, and T. Hagemeier.
Falling balls in a viscous fluid with contact: Comparing numerical
simulations with experimental data.
Physics of Fluids, 33, 2021.
Editor's Pick.
[ bib |
DOI |
arXiv ]
|
[Ric21]
|
T. Richter.
An averaging scheme for the efficient approximation of time-periodic
flow problems.
Computers and Fluids, 214, 2021.
[ bib |
DOI ]
|
[MR21]
|
N. Margenberg and T. Richter.
Parallel time-stepping for fluid-structure interactions.
Mathematical Modelling of Natural Phenomena, 16:20, 2021.
[ bib |
DOI |
arXiv ]
|
[SR21]
|
Martyna Soszyńska and Thomas Richter.
Adaptive time-step control for a monolithic multirate scheme coupling
the heat and wave equation.
BIT Numerical Mathematics, 2021.
[ bib |
DOI |
arXiv ]
|
[vWR21]
|
H. von Wahl and T. Richter.
Using a deep neural network to predict the motion of under-resolved
triangular rigid bodies in an incompressible flow.
International Journal for Numerical Methods in Fluids, 2021.
[ bib |
DOI |
arXiv ]
|
[MDL+21]
|
C. Mehlmann, S. Danilov, M. Losch, J.F. Lemieux, N. Hutter, T. Richter,
P. Blain, E.C. Hunke, and P Korn.
Simulating linear kinematic features in viscous-plastic sea ice
models on quadrilateral and triangular grids.
Journal of Advances in Modeling Earth Systems, 2021.
accepted.
[ bib |
DOI |
arXiv ]
|
[FHR21]
|
S. Frei, A. Heinlein, and T. Richter.
On temporal homogenization in the numerical simulation of
atherosclerotic plaque growth.
Proceedings in Applied Mathematics & Mechanics, 21, 2021.
[ bib |
DOI |
arXiv ]
|
[DMISR+21]
|
A. Daddi-Moussa-Ider, A.R. Sprenger, T. Richter, H. L"owen, and A.M. Menzel.
Steady azimuthal flow field induced by a rotating sphere near a rigid
disk or inside a gap between two coaxially positioned rigid disks.
Physics of Fluids, 33(8), 2021.
Editor's Pick.
[ bib |
DOI |
arXiv ]
|
[SR20]
|
F. Sonner and T. Richter.
Second order pressure estimates for the crank-nicolson discretization
of the incompressible navier-stokes equations.
SIAM J. Numer. Anal., 58:375--409, 2020.
[ bib |
DOI |
http ]
|
[MR20b]
|
P. Minakowski and T. Richter.
Finite element error estimates on geometrically perturbed domains.
Journal of Scientific Computing, 84(30), 2020.
[ bib |
DOI ]
|
[FR20c]
|
S. Frei and T. Richter.
Efficient approximation of flow problems with multiple scales in
time.
SIAM Multiscale Modeling and Simulation, 18(2):942--969, 2020.
[ bib |
.pdf ]
|
[FR20b]
|
L. Failer and T. Richter.
A parallel newton multigrid framework for monolithic fluid-structure
interactions.
Journal of Scientific Computing, 82(2), 2020.
[ bib |
DOI |
http ]
|
[FR20a]
|
L. Failer and T. Richter.
A newton multigrid framework for optimal control of fluid-structure
interactions.
Optimization and Engineering, 2020.
[ bib |
DOI ]
|
[WBR20]
|
R. Weinhandl, P. Benner, and T. Richter.
Low-rank linear fluid-structure interaction discretizations.
ZAMM, 100(11), 2020.
[ bib |
DOI ]
|
[MR20a]
|
C. Mehlmann and T. Richter.
A goal oriented error estimator and mesh adaptivity for sea ice
simulations.
Ocean Modeling, 154(101684), 2020.
[ bib |
DOI ]
|
[DMISA+20]
|
A. Daddi-Moussa-Ider, A.R. Sprenger, Y. Amarouchene, T. Salez, C. Schönecker,
T. Richter, H. L"owen, and A.M. Menzel.
Axisymmetric stokes flow due to a point-force singularity acting
between two coaxially positioned rigid no-slip disks.
Journal of Fluid Mechanics, 904:A34, 2020.
[ bib |
DOI ]
|
[FRW16]
|
S. Frei, T. Richter, and T. Wick.
Long-term simulation of large deformation, mechano-chemical
fluid-structure interactions in {ALE} and fully eulerian coordinates.
Journal of Computational Physics, 321:874--891, 2016.
[ bib |
DOI |
.pdf ]
|
[YJNRR16]
|
Y. Yang, W. Jaeger, M. Neuss-Radu, and T. Richter.
Mathematical modeling and simulation of the evolution of plaques in
blood vessels.
J. of Math. Biology., 72:973--996, 2016.
[ bib |
DOI ]
|
[MBMCR16]
|
M. Mercker, F. Brinkmann, A. Marciniak-Czochra, and T. Richter.
Beyond turing: Mechanochemical pattern formation in biological
tissues.
Biology Direct, 11(22), 2016.
[ bib |
https ]
|
[RW15]
|
T. Richter and T. Wick.
Variational localizations of the dual weighted residual method.
Journal of Computational and Applied Mathematics, 279:192--208,
2015.
[ bib |
DOI |
.pdf ]
|
[MR15]
|
D. Meidner and T. Richter.
A posteriori error estimation for the fractional step theta
discretization of the incompressible navier-stokes equations.
Comp. Meth. Appl. Mech. Engrg., 288:45--59, 2015.
[ bib |
DOI |
.pdf ]
|
[Ric15]
|
T. Richter.
A monolithic geometric multigrid solver for fluid-structure
interactions in ale formulation.
Int. J. Num. Meth. in Engrg., 104(5):372--390, 2015.
[ bib |
DOI |
.pdf ]
|
[KFRR14]
|
S. Knauf, S. Frei, T. Richter, and R. Rannacher.
Towards a complete numerical description of lubricant film dynamics
in ball bearings.
Computational Mechanics, 53:239--255, 2014.
[ bib |
DOI ]
|
[MR14]
|
D. Meidner and T. Richter.
Goal-oriented error estimation for the fractional step theta scheme.
Comp. Meth. Appl. Math., 14:203--230, 2014.
[ bib |
DOI |
.pdf ]
|
[FR14]
|
S. Frei and T. Richter.
A locally modified parametric finite element method for interface
problems.
SIAM J. Numer. Anal., 52(5):2315--2334, 2014.
[ bib |
DOI |
.pdf ]
|
[Ric13]
|
T. Richter.
A fully eulerian formulation for fluid-structure-interaction
problems.
Journal of Computational Physics, 233:227--240, 2013.
[ bib |
DOI |
.pdf ]
|
[RSV13]
|
T. Richter, A. Springer, and B. Vexler.
Efficient numerical realization of discontinuous galerkin methods for
temporal discretization of parabolic problems.
Numerische Mathematik, 124(1):151--182, 2013.
[ bib |
DOI ]
|
[MMCRH13]
|
M. Mercker, A. Marciniak-Czochra, T. Richter, and D Hartmann.
Modeling and computing of deformation dynamics of inhomogeneous
biological surfaces.
SIAM J. Appl. Math., 73(5):1768--1792, 2013.
[ bib |
DOI ]
|
[RW13]
|
T. Richter and T. Wick.
Optimal control and parameter estimation for stationary
fluid-structure interaction problems.
SIAM J. Sci. Comput., 35(5):B1085--B1104, 2013.
[ bib |
DOI ]
|
[Ric12]
|
T. Richter.
Goal oriented error estimation for fluid-structure interaction
problems.
Computer Methods in Applied Mechanics and Engineering,
223-224:28--42, 2012.
[ bib |
DOI |
.pdf ]
|
[KR11]
|
M. Kimmritz and T. Richter.
Parallel multigrid method for finite element simulations of complex
flow problems on locally refined meshes.
Numerical Linear Algebra with Applications, 18:615--636, 2011.
[ bib |
DOI ]
|
[FR11]
|
E. Friedmann and T. Richter.
Optimal microstructures. drag reducing mechanism of riblets.
J. of Math. Fluid Mech, 14(3):429--447, 2011.
[ bib |
DOI ]
|
[MRH11]
|
M. Mercker, T. Richter, and D. Hartmann.
Sorting mechanisms and communication in phase separating coupled
monolayers.
Journal of Physical Chemistry B, 115(40):11739--11745, 2011.
[ bib |
DOI ]
|
[KRRM11]
|
P. Konzen, T. Richter, U. Riedel, and U. Maas.
Implementation of redim reduced chemistry to model an axisymmetric
laminar diffusion methane/air flame.
Combustion Theory and Modelling, 15(3):299--323, 2011.
[ bib |
DOI ]
|
[Ric10]
|
T. Richter.
A posteriori error estimation and anisotropy detection with the dual
weighted residual method.
Int. J. Numer. Meth. Fluids, 62(1):90--118, 2010.
[ bib |
DOI |
.pdf ]
|
[RW10]
|
T. Richter and T. Wick.
Finite elements for fluid-structure interaction in ale and fully
eulerian coordinates.
Computer Methods in Applied Mechanics and Engineering,
199:2633--2642, 2010.
[ bib |
DOI ]
|
[LR07]
|
P. Lin and T. Richter.
An adaptive homotopy multi-grid method for molecule orientations of
high dimensional liquid crystals.
Journal for Computational Physics, 255:2069--2082, 2007.
[ bib |
DOI ]
|
[BR06b]
|
M. Braack and T. Richter.
Stabilized finite elements for 3-d reactive flows.
Int. J. Numer. Meth. Fluids, 51:981--999, 2006.
[ bib |
DOI ]
|
[BR06a]
|
M. Braack and T. Richter.
Solutions of 3d navier-stokes benchmark problems with adaptive finite
elements.
Computers and Fluids, 35(4):372--392, 2006.
[ bib |
DOI |
.pdf ]
|
[MMPZ19]
|
Piotr Minakowski, Piotr B. Mucha, Jan Peszek, and Ewelina Zatorska.
Singular cuckersmale dynamics.
In Active Particles, Volume 2, pages 201--243. Springer
International Publishing, 2019.
[ bib |
DOI ]
|
[RF17]
|
T. Richter and S. Frei.
Fluid-Structure Interactions. Modeling, Adaptive Discretization
and Solvers, chapter An accurate Eulerian approach for fluid-structure
interactions.
Radon Series on Computational and Applied Mathematics. De Gruyter,
2017.
[ bib |
.pdf ]
|
[RW15]
|
T. Richter and T. Wick.
On time discretizations of fluid-structure interactions.
In T. Carraro, M. Geiger, S. Körkel, and R. Rannacher, editors,
Multiple Shooting and Time Domain Decomposition Methods, Contributions
in Mathematical and Computational Science, pages 377--400. Springer, 2015.
[ bib |
DOI |
.pdf ]
|
[DRR10]
|
T. Dunne, R. Rannacher, and T. Richter.
Numerical simulation of fluid-structure interaction based on
monolithic variational formulations.
In G.P. Galdi and R. Rannacher, editors, Comtemporary Challenges
in Mathematical Fluid Mechanics. World Scientific, Singapore, 2010.
[ bib |
DOI ]
|
[FPR10]
|
E. Friedmann, J. Portl, and T. Richter.
A study of shark skin and its drag reducing mechanism.
In R. Rannacher and A. Sequiera, editors, Advances in
Mathematical Fluid Mechanics: Dedicated to Giovanni Paolo Galdi on the
Occasion of his 60th Birthday, pages 271--286. Springer, 2010.
[ bib |
DOI ]
|
[RR10]
|
R. Rannacher and T. Richter.
An adaptive finite element method for fluid-structure interaction
problems based on a fully eulerian formulation.
In H.J. Bungartz, M. Mehl, and M. Sch"afer, editors,
Fluid-Structure Interaction II, Modelling, Simulation, Optimization,
number 73 in Lecture notes in computational science and engineering, pages
159--192. Springer, 2010.
[ bib |
DOI ]
|
[BR07]
|
M. Braack and T. Richter.
Solving multidimensional reactive flow problems with adaptive finite
elements.
In W. Jäger, R. Rannacher, and J. Warnatz, editors, Reactive
Flows, Diffusion and Transport, pages 93--112. Springer Berlin Heidelberg,
2007.
[ bib |
DOI ]
|
[BBR06]
|
R. Becker, M. Braack, and T. Richter.
Parallel multigrid on locally refined meshes.
In W. Jäger, R. Rannacher, and J. Warnatz, editors, Reactive
Flows, Diffusion and Transport, pages 77--92. Springer Berlin Heidelberg,
2006.
[ bib |
DOI ]
|
[BR06]
|
M. Braack and T. Richter.
Mesh and model adaptivity for flow problems.
In W. Jäger, R. Rannacher, and J. Warnatz, editors, Reactive
Flows, Diffusion and Transport, pages 47--75. Springer Berlin Heidelberg,
2006.
[ bib |
DOI ]
|
[FWR+23]
|
S. Frei, T. Wick, T. Richter, M. Braack, O. Rubio, G. Alvarez Jauregui, and
D. Rueda Castillo, editors.
Peruvian Conference on Scientific Computing 2022, volume 10 of
Selecciones Mathematicas, 2023.
Special Issue.
[ bib ]
|
[dGR23]
|
P.H. de Almeida Konzen, L.F. Guidi, and T. Richter.
Quasi-random discrete ordinates method to radiative transfer equation
with linear anisotropic scattering.
In Anais do(a) Anais do Encontro Nacional de Modelagem
Computacional, Encontro de Ciência e Tecnologia de Materiais,
Conferência Sul em Modelagem Computacional e Seminário e Workshop
em Engenharia Oceânica. Even3, 2023.
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DOI ]
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[vR23]
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Henry von Wahl and Thomas Richter.
An eulerian time-stepping scheme for a coupled parabolic moving
domain problem using equal-order unfitted finite elements.
In Proceedings in Applied Mathematics and Mechanics, volume 22,
2023.
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DOI ]
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[Meh22]
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C. Mehlmann.
The effect of the tracer staggering on sea ice deformation fields.
In 8th European Congress on Computational Methods in Applied
Sciences and Engineering. CIMNE, 2022.
[ bib |
DOI ]
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[MLR22]
|
N. Margenberg, C. Lessig, and T. Richter.
The neural network multigrid solver for the navier-stokes equations
and its application to 3d simulation.
In 8th European Congress on Computational Methods in Applied
Sciences and Engineering. CIMNE, 2022.
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DOI ]
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[Meh20]
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C. Mehlmann.
Finite elements and sea ice dynamics.
In Giga Yoshikazu, Hieber Matthias, Korn Peter, and Titi Edriss,
editors, Mathematical Advances in Geophysical Fluid Dynamics.
Mathematisches Forschungsinstitut Oberwolfach, 2020.
[ bib |
DOI ]
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[BRW20]
|
P. Benner, T. Richter, and R. Weinhandl.
A low-rank approach for nonlinear parameter-dependent fluid-structure
interaction problems.
In Numerical Mathematics and Advanced Applications - Enumath
2019, Lecture Notes in Computational Science and Engineering. Springer,
2020.
[ bib |
DOI |
arXiv ]
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[MR19]
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J. Mizerski and T. Richter.
The candy wrapper problem - a temporal multiscale approach for
pde/pde systems.
In Numerical Mathematics and Advanced Applications - Enumath
2019, Lecture Notes in Computational Science and Engineering. Springer,
2019.
[ bib |
DOI |
arXiv ]
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[RM18]
|
T. Richter and C. Mehlmann.
An accelerated newton method for nonlinear materials in structure
mechanics and fluid mechanics.
In Numerical Mathematics and Advanced Applications - Enumath
2017, volume 126 of Lecture Notes in Computational Science and
Engineering, pages 345--353. Springer, 2018.
[ bib |
DOI |
.pdf ]
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[WBR18]
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R. Weinhandl, P. Benner, and T. Richter.
Linear low-rank parameter-dependent fluid-structure interaction
discretization in 2d.
In PAMM - Proc. Appl. Math. Mech. - Annual 89h Meeting of the
International Association of Applied Mathematics and Mechanics, 2018.
[ bib ]
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[dSdR17]
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P.H. de Almeida Konzen, E. Sauter, F.S. de Azevedo, and T. Richter.
Parallel iterative finite element procedure with dwr mesh adaptation
to simulation transport problems in x-y geometry.
In 25th International Conference on Transport Theory, Monterey,
California, 2017.
[ bib ]
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[FRW15b]
|
S. Frei, T. Richter, and T. Wick.
Eulerian techniques for fluid-structure interactions - Part ii:
Applications.
In Numerical Mathematics and Advanced Applications - Enumath
2013, volume 103 of Lecture Notes in Computational Science and
Engineering, pages 755--762. Springer, 2015.
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DOI |
.pdf ]
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[FRW15a]
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S. Frei, T. Richter, and T. Wick.
Eulerian techniques for fluid-structure interactions - Part i:
Modeling and simulation.
In Numerical Mathematics and Advanced Applications - Enumath
2013, volume 103 of Lecture Notes in Computational Science and
Engineering, pages 745--753. Springer, 2015.
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DOI |
.pdf ]
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[FR15]
|
S. Frei and T. Richter.
Discretization of parabolic problems on moving domains with moving
interfaces.
In K. Deckelnick, C.M. Elliot, R. Kornhuber, and J.A. Sethian,
editors, Oberwolfach Reports, volume 55. Mathematisches
Forschungsinstitut Oberwolfach, 2015.
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DOI ]
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[Ric13]
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T. Richter.
Anisotropic finite elements for fluid-structure interactions.
In A. Cangiani, R.L. Davidchack, E. Georgoulis, A.N. Gorban,
J. Levesley, and M.V. Tretyakov, editors, Numerical Mathematics and
Advanced Applications 2011, Proceedings of ENUMATH 2011, pages 63--70.
Springer, 2013.
ISBN: 978-3-642-33133-6, .
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DOI |
.pdf ]
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[Ric12c]
|
T. Richter.
Fluid-structure interactions in fully eulerian coordinates.
In PAMM, volume 12 of 83st Annual Meeting of the
International Association of Applied Mathematics and Mechanics, pages
487--488, 2012.
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[Ric12a]
|
T. Richter.
Discontinuous galerkin as time-stepping scheme for the navier-stokes
equations.
In H.G. Bock, H.X. Phu, R. Rannacher, and J.P. Schlöder, editors,
Modeling, Simulation and Optimization of Complex Processes, pages
271--282. Springer, 2012.
Proceedings of the Fourth International Conference on High
Performance Scientific Computing, March 2-6, 2009, Hanoi, Vietnam.
[ bib ]
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[Ric12b]
|
T. Richter.
Fluid-structure interactions in fully eulerian coordinates.
In PAMM - Proc. Appl. Math. Mech., volume 10 of 83st
Annual Meeting of the International Association of Applied Mathematics and
Mechanics, pages 827--830, 2012.
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DOI ]
|
[FR10]
|
E. Friedmann and T. Richter.
On drag computations of rough surfaces: modeling, simulations and
model reduction by applying homogenization.
In J.C.F. Pereira and A. Sequeira, editors, V. European
Conference on Computational Fluid Dynamics, Lisbon, June 2010. ECCOMAS CFD.
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[Ric10]
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T. Richter.
A fully eulerian formulation for fluid-structure-interaction problems
with large deformations and free structure movement.
In J.C.F. Pereira and A. Sequeira, editors, V. European
Conference on Computational Fluid Dynamics, Lisbon, June 2010. ECCOMAS CFD.
[ bib ]
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[RW10]
|
T. Richter and T. Wick.
Fluid-structure interactions in ale and fully eulerian coordinates.
In PAMM, volume 10 of 81st Annual Meeting of the
International Association of Applied Mathematics and Mechanics, pages
487--488, 2010.
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DOI ]
|
[BR06]
|
M. Braack and T. Richter.
Stabilized adaptive finite elements for laminar burner in 3-d.
In Wesseling et. al., editor, Eccomas CFD Proceedings, 2006.
[ bib ]
|
[BR05]
|
M. Braack and T. Richter.
Local projection stabilization for the stokes system on anisotropic
quadrilateral meshes.
In B. de Castro et al., editor, Enumath Proceedings 2005,
pages 770--778. Springer, 2005.
[ bib ]
|
[KKR23]
|
U. Kapustsin, U. Kaya, and T. Richter.
Implementation of a hybrid neural network solver for the poisson
problem, 2023.
[ bib |
DOI ]
|
[RDLM23a]
|
T. Richter, V. Dansereau, C. Lessig, and P. Minakowski.
A snippet from neXtSIM_DG : next generation sea- ice model with
DG, 2023.
[ bib |
DOI ]
|
[RDLM23b]
|
T. Richter, V. Dansereau, C. Lessig, and P. Minakowski.
A snippet from nextsim_dg : next generation sea-ice model with dg,
2023.
[ bib |
DOI ]
|
[RJU22]
|
Thomas Richter, Markus Janczyk, and Rolf Ulrich.
Diffusion models with time-dependent parameters: "Analysis and
computational effort and accuracy of different numerical methods", 2022.
[ bib |
DOI ]
|
[Car22]
|
Carolin Mehlmann.
Sea ice dynamics in icon-o - numerical evaluation, 2022.
[ bib |
DOI ]
|
[RJ21]
|
Thomas Richter and Gozel Judakova.
Locally modified second order finite elements, 2021.
[ bib |
DOI ]
|
[BBM+21]
|
Malte Braack, Roland Becker, Dominik Meidner, Thomas Richter, and Boris Vexler.
The finite element toolkit gascoigne, 2021.
[ bib |
DOI ]
|
[vWRFH20]
|
H. von Wahl, T. Richter, S. Frei, and T. Hagemeier.
Falling balls in a viscous fluid with contact: Comparing numerical
simulations with experimental data, 2020.
[ bib |
DOI ]
|
[vWRL20]
|
H. von Wahl, T. Richter, and C. Lehrenfeld.
An unfitted eulerian finite element method for the time-dependent
stokes problem on moving domains, 2020.
[ bib |
DOI ]
|
[vWRL+19]
|
H. von Wahl, T. Richter, C. Lehrenfeld, J. Heiland, and P. Minakowski.
Numerical benchmarking of fluid-rigid body interactions, 2019.
[ bib |
DOI ]
|
[FRW18]
|
S. Frei, T. Richter, and T. Wick.
An implementation of a locally modified finite element method for
interface problems in deal.ii, 2018.
[ bib |
DOI ]
|
[dJVM+]
|
Ehlke de Jong, Marcello Vichi, Carolin Birgitta Mehlmann, Clare Eayrs, Wade
De Kock, Marcel Moldenhauer, and Riesna Reuben Audh.
Sea ice conditions within the antarctic marginal ice zone in winter
2017, onboard the sa agulhas ii.
[ bib |
DOI ]
|
[vWR]
|
H. von Wahl and T. Richter.
Error estimate for the heat equation on a coupled moving domain in a
fully eulerian framework - reproduction scripts.
[ bib |
DOI ]
|