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.

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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.

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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.

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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.

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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.

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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

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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

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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), Artikel 102756

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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]

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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]

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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

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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

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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]

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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)

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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

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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

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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

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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.

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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.

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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)

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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

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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

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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

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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.

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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

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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

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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

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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

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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

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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.

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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

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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

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Lowrank linear fluidstructure interaction discretizations

Weinhandl, Roman; Benner, Peter; Richter, Thomas

In: ZAMM - Berlin: Wiley-VCH, Bd. 100 (2020), 11, insges. 28 S.

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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

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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.

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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.

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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.

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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

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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

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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

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Efficient numerical methods to solve the viscous-plastic sea ice model at high spatial resolutions

Mehlmann, Carolin; Richter, Thomas

In: Magdeburg, 2019, vii, 154 Seiten, Illustrationen, Diagramme, 30 cm[Literaturverzeichnis: Seite 147-154]

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

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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.

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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

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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)

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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)

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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)

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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

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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

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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

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Fluid-structure Interactions

Richter, Thomas

In: Vol. Fluid-structure Interactions, 2017, S. , ISSN 1439-7358, 10.1007/978-3-319-63970-3

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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

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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

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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.

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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

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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.

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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

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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

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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]

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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

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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

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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.

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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.

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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

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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

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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

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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

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Sorting mechanisms and communication in phase-separating coupled monolayers

Mercker, Moritz; Richter, Thomas; Hartmann, Dirk

In: The journal of physical chemistry / B - Washington, DC: Soc., Bd. 115 (2011), 40, S. 11739-11745, insges. 7 S.

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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

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