Publikationen
2024
Begutachteter Zeitschriftenartikel
Thin elastic films and membranes under rectangular confinement
Sprenger, Alexander; Reinken, Henning; Richter, Thomas; Menzel, Andreas
In: epl - Les Ulis : EDP Sciences, Bd. 147 (2024), Heft 1$e17002, insges. 8 S.
Hydrodynamics of a disk in a thin film of weakly nematic fluid subject to linear friction
Daddi-Moussa-Ider, Abdallah; Tjhung, Elsen; Richter, Thomas; Menzel, Andreas M.
In: Journal of physics. Condensed matter - Bristol : IOP Publ., Bd. 36 (2024), Heft 44, Artikel 445101, insges. 19 S.
2023
Begutachteter Zeitschriftenartikel
A hybrid finite element/neural network solver and its application to the Poisson problem
Kapustsin, Uladzislau; Kaya, Utku; Richter, Thomas
In: Proceedings in applied mathematics and mechanics - Weinheim : Wiley-VCH, Bd. 23 (2023), Heft 3, Artikel e202300135, insges. 8 S.
A priori and a posteriori error estimates for the Deep Ritz method applied to the Laplace and Stokes problem
Minakowski, Piotr; Richter, Thomas
In: Journal of computational and applied mathematics - Amsterdam [u.a.] : North-Holland, Bd. 421 (2023), Artikel 114845
The neXtSIM-DG dynamical core - a framework for higher-order finite element sea ice modeling
Richter, Thomas; Dansereau, Véronique; Lessig, Christian; Minakowski, Piotr
In: EGUsphere - Göttingen : Copernicus GmbH . - 2023, insges. 31 S.
A variational approach for temporal multiscale problems and its application to adaptivity and optimization
Dominguez, Dayron; Lautsch, Leopold; Richter, Thomas
In: Proceedings in applied mathematics and mechanics - Weinheim : Wiley-VCH, Bd. 23 (2023), Heft 2, Artikel e202300193, insges. 8 S.
Adjacency-based, non-intrusive reduced-order modeling for fluid-structure interactions
Gkimisis, Leonidas; Richter, Thomas; Benner, Peter
In: Proceedings in applied mathematics and mechanics - Weinheim : Wiley-VCH . - 2023, Artikel e202300047, insges. 8 S.
A locally modified second-order finite element method for interface problems and its implementation in 2 dimensions
Frei, Stefan; Judakova, Gozel; Richter, Thomas
In: Mathematical modelling and numerical analysis - Les Ulis : EDP Sciences, Bd. 57 (2023), Heft 3, S. 1355-1380
Diffusion models with time-dependent parameters - an analysis of computational effort and accuracy of different numerical methods
Richter, Thomas; Ulrich, Rolf; Janczyk, Markus
In: Journal of mathematical psychology - Orlando, Fla. : Academic Press, Bd. 114 (2023), S. 1-22, Artikel 102756
Influence of particle shape on tortuosity of non-spherical particle packed beds
Rodrigues, Simson Julian; Vorhauer-Huget, Nicole; Richter, Thomas; Tsotsas, Evangelos
In: Processes - Basel : MDPI, Bd. 11 (2023), Heft 1, Artikel 3, insges. 16 S.
Dissertation
Temporal multiscale simulations for multiphysics problems
Soszyńska, Martyna; Richter, Thomas
In: Magdeburg: Universitätsbibliothek, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2023, 1 Online-Ressource (vi, 138 Seiten, 1,52 MB) [Literaturverzeichnis: Seite 133-138]
A locally modified finite element method for two-phase flow problems
Judakova, Gozel; Richter, Thomas
In: Magdeburg: Universitätsbibliothek, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2023, 1 Online-Ressource (iv, 111 Seiten, 7,44 MB) [Literaturverzeichnis: Seite 103-111]
2022
Begutachteter Zeitschriftenartikel
Structure preservation for the Deep Neural Network Multigrid Solver
Margenberg, Nils; Lessig, Christian; Richter, Thomas
In: Electronic transactions on numerical analysis - Kent, Ohio: Kent State Univ., Bd. 56 (2022), S. 86-101
On temporal homogenization in the numerical simulation of atherosclerotic plaque growth
Frei, Stefan; Heinlein, Alexander; Richter, Thomas
In: Proceedings in applied mathematics and mechanics - Weinheim: Wiley-VCH, Bd. 21 (2022), 1, insges. 5 S., 2021
Habilitation
Selected aspects of complex flow problems - modelling, analysis, numerics
Minakowski, Piotr; Richter, Thomas
In: Magdeburg: Universitätsbibliothek, Habilitationsschrift Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2022, 1 Online-Ressource (x, 200 Seiten, 18,15 MB) [Literaturverzeichnis: Seite 189-200]
2021
Buchbeitrag
A low-rank approach for nonlinear parameter-dependent fluid-structure interaction problems
Benner, Peter; Richter, Thomas; Weinhandl, Roman
In: Numerical Mathematics and Advanced Applications ENUMATH 2019 - Cham: Springer International Publishing; Vermolen, Fred J. . - 2021, S. 1157-1165 - ( Lecture notes in computational science and engineering; volume 139)
Begutachteter Zeitschriftenartikel
A finite element/neural network framework for modeling suspensions of non-spherical particles
Minakowska, Martyna; Richter, Thomas; Sager, Sebastian
In: Vietnam journal of mathematics - Singapore: Springer, Bd. 49 (2021), 1, S. 207-235
Error estimation and adaptivity for differential equations with multiple scales in time
Lautsch, Leopold; Richter, Thomas
In: Computational methods in applied mathematics - Berlin: De Gruyter, Bd. 21 (2021), 4, S. 841-861
Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation
Soszyńska, Martyna; Richter, Thomas
In: BIT - Dordrecht [u.a.]: Springer Science + Business Media B.V, Bd. 61 (2021), S. 1367-1396
Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids with different variable staggering
Mehlmann, C.; Danilov, S.; Losch, M.; Lemieux, J. F.; Hutter, N.; Richter, Thomas; Blain, P.; Hunke, E. C.; Korn, P.
In: Journal of advances in modeling earth systems - Fort Collins, Colo., Bd. 13 (2021), 11, insges. 16 S.
Parallel time-stepping for fluidstructure interactions
Margenberg, Nils; Richter, Thomas
In: Mathematical modelling of natural phenomena - Les Ulis: EDP Sciences, Bd. 16 (2021), insges. 19 S.
Settling of spherical particles in the transitional regime
Hagemeier, Thomas; Thévenin, Dominique; Richter, Thomas
In: International journal of multiphase flow - Oxford: Pergamon Press, Bd. 138 (2021)
On the impact of fluid structure interaction in blood flow simulations
Failer, Lukas; Minakowski, Piotr; Richter, Thomas
In: Vietnam journal of mathematics - Singapore: Springer, Bd. 49 (2021), 1, S. 169-187
An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains
Wahl, Henry; Richter, Thomas; Lehrenfeld, Christoph
In: IMA journal of numerical analysis/ Institute of Mathematics and Its Applications - Oxford: Oxford Univ. Press . - 2021
LocModFE: locally modified finite elements for approximating interface problems in deal.II
Frei, Stefan; Richter, Thomas; Wick, Thomas
In: Software impacts - [Amsterdam]: Elsevier ScienceDirect, Bd. 8 (2021), insges. 4 S.
Steady azimuthal flow field induced by a rotating sphere near a rigid disk or inside a gap between two coaxially positioned rigid disks
Daddi-Moussa-Ider, Abdallah; Sprenger, Alexander R.; Richter, Thomas; Löwen, Hartmut; Menzel, Andreas
In: Physics of fluids: devoted to the publication of original theoretical, computational, and experimental contributions to the dynamics of gases, liquids, and complex or multiphase fluids - [S.l.]: American Institute of Physics, Bd. 33 (2021), 8
Using a deep neural network to predict the motion of underresolved triangular rigid bodies in an incompressible flow
Wahl, Henry; Richter, Thomas
In: International journal for numerical methods in fluids - Chichester: Wiley, Bd. 93 (2021), 12, S. 3364-3383
A Newton multigrid framework for optimal control of fluidstructure interactions
Failer, L.; Richter, Thomas
In: Optimization and engineering - Dordrecht [u.a.]: Springer Science + Business Media B.V, Bd. 22 (2021), S. 2009-2037
An averaging scheme for the efficient approximation of time-periodic flow problems
Richter, Thomas
In: Computers & fluids: an international journal - Amsterdam [u.a.]: Elsevier Science, Volume 214 (2020), article 104769, 2021
Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data
Wahl, Henry; Richter, Thomas; Frei, Stefan; Hagemeier, Thomas
In: Physics of fluids - [S.l.]: American Institute of Physics, Volume 33(2021), issue 3, article 033304, 19 Seiten
Dissertation
Unfitted finite elements for fluid-rigid body interaction problems
Wahl, Henry; Richter, Thomas; Heiland, Jan
In: Magdeburg: Universitätsbibliothek, 2021, 1 Online-Ressource (viii, 170 Seiten, 17,45 MB), Illustrationen
2020
Begutachteter Zeitschriftenartikel
Second order pressure estimates for the Crank-Nicolson discretization of the incompressible Navier-Stokes Equations
Sonner, Florian; Richter, Thomas
In: SIAM journal on numerical analysis / Society for Industrial and Applied Mathematics - Philadelphia, Pa. : SIAM, Bd. 58 (2020), Heft 1, S. 375-409, insges. 35 S.
Finite element error estimates on geometrically perturbed domains
Minakowski, Piotr; Richter, Thomas
In: Journal of scientific computing - New York, NY [u.a.]: Springer Science + Business Media B.V., Bd. 84 (2020), 2, insges. 19 S.
Lowrank linear fluidstructure interaction discretizations
Weinhandl, Roman; Benner, Peter; Richter, Thomas
In: ZAMM - Berlin: Wiley-VCH, Bd. 100 (2020), 11, insges. 28 S.
Efficient approximation of flow problems with multiple scales in time
Frei, Stefan; Richter, Thomas
In: Multiscale modeling & simulation - Philadelphia, Pa. : SIAM, Bd. 18 (2020), Heft 2, S. 942-969, insges. 28 S.
A goal oriented error estimator and mesh adaptivity for sea ice simulations
Mehlmann, Carolin; Richter, Thomas
In: Ocean modelling online - Amsterdam [u.a.]: Elsevier Science, Volume 154(2020), article 101684
A parallel Newton multigrid framework for monolithic fluid-structure interactions
Failer, L.; Richter, Thomas
In: Journal of scientific computing - New York, NY [u.a.]: Springer Science + Business Media B.V., Bd. 82 (2020), insges. 27 S.
Axisymmetric Stokes flow due to a point-force singularity acting between two coaxially positioned rigid no-slip disks
Daddi-Moussa-Ider, Abdallah; Sprenger, Alexander R.; Amarouchene, Yacine; Salez, Thomas; Schönecker, Clarissa; Richter, Thomas; Löwen, Hartmut; Menzel, Andreas M.
In: Journal of fluid mechanics - Cambridge [u.a.]: Cambridge Univ. Press, Volume 904 (2020), article A34, 26 Seiten
Low‐rank linear fluid‐structure interaction discretizations
Weinhandl, Roman; Benner, Peter; Richter, Thomas
In: ZAMM - Berlin : Wiley-VCH, Bd. 100 (2020), Heft 11, Artikel e201900205
Nicht begutachteter Zeitschriftenartikel
A low-rank approach for nonlinear parameter-dependent fluid-structure interaction problems
Benner, Peter; Richter, Thomas; Weinhandl, Roman
In: De.arxiv.org - [S.l.]: Arxiv.org, 2020, article 1911.08193, 7 Seiten, 2019
2019
Begutachteter Zeitschriftenartikel
Numerical benchmarking of fluid-rigid body interactions
Wahl, Henry; Richter, Thomas; Lehrenfeld, Christoph; Heiland, Jan; Minakowski, Piotr
In: Computers & fluids - Amsterdam [u.a.]: Elsevier Science, Volume 193 (2019), article 104290
Quasi-random discrete ordinates method for neutron transport problems
Almeida Konzen, Pedro Henrique; Guidi, Leonardo Fernandes; Richter, Thomas
In: Annals of nuclear energy - Amsterdam [u.a.]: Elsevier Science, 1975, Bd. 133.2019, S. 275-282
Dissertation
Efficient numerical methods to solve the viscous-plastic sea ice model at high spatial resolutions
Mehlmann, Carolin; Richter, Thomas
In: Magdeburg, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2019, vii, 154 Seiten [Literaturverzeichnis: Seite 147-154][Literaturverzeichnis: Seite 147-154]
2018
Begutachteter Zeitschriftenartikel
Post-turing tissue pattern formation - advent of mechanochemistry
Brinkmann, Felix; Mercker, Moritz; Richter, Thomas; Marciniak-Czochra, Anna
In: PLoS Computational Biology: a new community journal/ Public Library of Science - San Francisco, Calif.: Public Library of Science, 2005, Vol. 14.2018, 7, Art. e1006259, insgesamt 21 S.
Linear lowrank parameterdependent fluidstructure interaction discretization in 2D
Weinhandl, Roman; Benner, Peter; Richter, Thomas
In: Proceedings in applied mathematics and mechanics: PAMM - Weinheim [u.a.]: Wiley-VCH, Bd. 18 (2018), 1
An optimization framework for the computation of time-periodic solutions of partial differential equations
Richter, Thomas; Wollner, Winnifried
In: Vietnam journal of mathematics: formerly Tạp chí Toán học (Journal of Mathematics) - Singapore: Springer, 1999, Bd. 46.2018, 4, S. 949-966
2017
Buchbeitrag
Discretization
Richter, Thomas
In: Fluid-structure Interactions : Models, Analysis and Finite Elements - Cham : Springer, S. 117-199, 2017 - (Lecture Notes in Computational Science and Engineering; 118)
ALE formulation for fluid-structure interactions
Richter, Thomas
In: Fluid-structure Interactions : Models, Analysis and Finite Elements - Cham : Springer, S. 203-254, 2017 - (Lecture Notes in Computational Science and Engineering; 118)
Fully eulerian formulation for fluid-structure interactions
Richter, Thomas
In: Fluid-structure Interactions : Models, Analysis and Finite Elements - Cham : Springer, S. 255-279, 2017 - (Lecture Notes in Computational Science and Engineering; 118)
Begutachteter Zeitschriftenartikel
A second order time-stepping scheme for parabolic interface problems with moving interfaces
Frei, Stefan; Richter, Thomas
In: Mathematical modelling and numerical analysis : an international journal on applied mathematics - Les Ulis : EDP Sciences, Bd. 51.2017, 4, S. 1539-1560
A finite element multigrid-framework to solve the sea ice momentum equation
Mehlmann, Carolin; Richter, Thomas
In: Journal of computational physics - Amsterdam: Elsevier, 1961, Bd. 348.2017, S. 847-861
A modified global Newton solver for viscous-plastic sea ice models
Mehlmann, Carolin; Richter, Thomas
In: Ocean modelling online - Amsterdam [u.a.]: Elsevier Science, 1999, Bd. 116.2017, S. 96-107
Herausgeberschaft
Fluid-structure Interactions
Richter, Thomas
In: Vol. Fluid-structure Interactions, 2017, S. , ISSN 1439-7358, 10.1007/978-3-319-63970-3
2016
Begutachteter Zeitschriftenartikel
Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates
Frei, S.; Richter, Thomas; Wick, T.
In: Journal of computational physics - Amsterdam: Elsevier, Bd. 321.2016, S. 874-891
Beyond Turing - mechanochemical pattern formation in biological tissues
Mercker, Moritz; Brinkmann, Felix; Marciniak-Czochra, Anna; Richter, Thomas
In: Biology direct - London: BioMed Central, Bd. 11.2016, 22, insges. 15 S.
Mathematical modeling and simulation of the evolution of plaques in blood vessels
Yang, Yifan; Jäger, Willi; Neuss-Radu, Maria; Richter, Thomas
In: Journal of mathematical biology - Berlin: Springer, Bd. 72.2016, 4, S. 973-996
2015
Begutachteter Zeitschriftenartikel
A posteriori error estimation for the fractional step theta discretization of the incompressible Navier-Stokes equations
Meidner, Dominik; Richter, Thomas
In: Computer methods in applied mechanics and engineering - Amsterdam [u.a.]: Elsevier Science, Bd. 288.2015, S. 45-59
Discretization of parabolic problems on moving domains with moving interfaces
Frei, Stefan; Richter, Thomas
In: Oberwolfach reports: OWR - Zürich: EMS Publ. House, Bd. 12.2015, 4, S. 3101-3178
Variational localizations of the dual weighted residual estimator
Richter, Thomas; Wick, Thomas
In: Journal of computational and applied mathematics - Amsterdam [u.a.]: North-Holland, Bd. 279.2015, S. 192-208
A monolithic geometric multigrid solver for fluid-structure interactions in ALE formulation
Richter, Thomas
In: International journal for numerical methods in engineering - Chichester [u.a.]: Wiley, Bd. 104 (2015), 5, S. 372-390, insges. 17 S.
2014
Begutachteter Zeitschriftenartikel
Towards a complete numerical description of lubricant film dynamics in ball bearings
Knauf, Stefan; Frei, Stefan; Richter, Thomas; Rannacher, Rolf
In: Computational mechanics - solids, fluids, engineered materials, aging infrastructure, molecular dynamics, heat transfer, manufacturing processes, optimization, fracture & integrity ; research journal: solids, fluids, engineered materials, aging infrastructure, molecular dynamics, heat transfer, manufacturing processes, optimization, fracture & integrity ; research journal - Berlin: Springer, Bd. 53.2014, 2, S. 239-255
Goal-oriented error estimation for the fractional step theta scheme
Meidner, Dominik; Richter, Thomas
In: Computational methods in applied mathematics - Berlin: De Gruyter, 2001, Bd. 14.2014, 2, S. 203-230, insges. 28 S.[Gesehen am 28.07.2020]
A locally modified parametric finite element method for interface problems
Frei, Stefan; Richter, Thomas
In: SIAM journal on numerical analysis/ Society for Industrial and Applied Mathematics - Philadelphia, Pa.: SIAM, Bd. 52.2014, 5, S. 2315-2334
2013
Begutachteter Zeitschriftenartikel
Modeling and computing of deformation dynamics of inhomogeneous biological surfaces
Mercker, M.; Marciniak-Czochra, A.; Richter, Thomas; Hartmann, D.
In: SIAM journal on applied mathematics/ Society for Industrial and Applied Mathematics - Philadelphia, Pa.: Soc., Bd. 73 (2013), 5, S. 1768-1792
A fully eulerian formulation for fluid-structure-interaction problems
Richter, Thomas
In: Journal of computational physics - Amsterdam: Elsevier, Bd. 233 (2013), S. 227-240, insges. 14 S.
Optimal control and parameter estimation for stationary fluid-structure interaction problems
Richter, Thomas; Wick, T.
In: SIAM journal on scientific computing/ Society for Industrial and Applied Mathematics - Philadelphia, Pa.: SIAM, Vol. 35.2017, 5, S. B1085-B1104, 2013
Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems
Richter, Thomas; Springer, Andreas; Vexler, Boris
In: Numerische Mathematik - Berlin: Springer, Bd. 124 (2013), 1, S. 151-182, insges. 32 S.
2012
Begutachteter Zeitschriftenartikel
Goal-oriented error estimation for fluid-structure interaction problems
Richter, Thomas
In: Computer methods in applied mechanics and engineering - Amsterdam [u.a.]: Elsevier Science, Bd. 223/224.2012, S. 28-42
2011
Begutachteter Zeitschriftenartikel
Implementation of REDIM reduced chemistry to model an axisymmetric laminar diffusion methane-air flame
Almeida Konzen, Pedro Henrique; Richter, Thomas; Riedel, Uwe; Maas, Ulrich
In: Combustion theory and modelling : CTM - London : Taylor and Francis, Bd. 15.2011, 3, S. 299-323
Sorting mechanisms and communication in phase-separating coupled monolayers
Mercker, Moritz; Richter, Thomas; Hartmann, Dirk
In: The journal of physical chemistry
2007
Begutachteter Zeitschriftenartikel
An adaptive homotopy multi-grid method for molecule orientations of high dimensional liquid crystals
Lin, Ping; Richter, Thomas
In: Journal of computational physics - Amsterdam: Elsevier, Bd. 225 (2007), 2, S. 2069-2082