Publications

Taras Mel’nyk, and Arsen V Klevtsovskiy. Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction. Asymptotic Analysis, (130)3-4:505-530, 2022. [PUMA: am from:sylviazur ians]

Taras Mel’nyk. Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node. Analysis and Applications, (19)05:875-939, 2021. [PUMA: imported am ians from:sylviazur] URL

Taras A. Mel'nyk. Asymptotic analysis of spectral problems in thick junctions with the branched fractal structure. Mathematical Methods in the Applied Sciences, (46)3:3306-3331, 2023. [PUMA: am ians from:sylviazur] URL

Jim Magiera, and Christian Rohde. A Multiscale Method for Two-Component, Two-Phase Flow with a Neural Network Surrogate. Communications on Applied Mathematics and Computation, 2024. [PUMA: 390740016 EXC2075 SFBTRR75 am from:sylviazur ians pn1 updated]

Paula Strohbeck, C. Riethmüller, Dominik Göddeke, and Iryna Rybak. Robust and efficient preconditioners for Stokes-Darcy problems. In Emmanuel Franck, Jürgen Fuhrmann, Victor Michel-Dansac, and Laurent Navoret (Eds.), Finite Volumes for Complex Applications X - Volume 1, Elliptic and Parabolic Problems, 375-383, Springer Nature Switzerland, 2023. [PUMA: PN5 am cmcs flupor from:sylviazur ians]

Linheng Ruan, and Iryna Rybak. Stokes-Brinkman-Darcy models for coupled free-flow and porous-medium systems. In Emmanuel Franck, Jürgen Fuhrmann, Victor Michel-Dansac, and Laurent Navoret (Eds.), Finite Volumes for Complex Applications X - Volume 1, Elliptic and Parabolic Problems, 365-373, Springer Nature Switzerland, 2023. [PUMA: am flupor from:sylviazur ians]

J. Keim, A. Schwarz, S. Chiocchetti, C. Rohde, and A. Beck. A Reinforcement Learning Based Slope Limiter for Two-Dimensional Finite Volume Schemes. 2023. [PUMA: EXC2075 am from:sylviazur ians pn1]

Jim Magiera. A Molecular--Continuum Multiscale Solver for Liquid--Vapor Flow: Modeling and Numerical Simulation. 2021. [PUMA: imported vorlaeufig ians from:sylviazur]

Jim Magiera. A Molecular--Continuum Multiscale Solver for Liquid--Vapor Flow. Small Collaboration: Advanced Numerical Methods for Nonlinear Hyperbolic Balance Laws and Their Applications (hybrid meeting), (41)2021. [PUMA: imported vorlaeufig ians from:sylviazur] URL

Jan Giesselmann, Fabian Meyer, and Christian Rohde. Error control for statistical solutions of hyperbolic systems of conservation laws. Calcolo, (58)2:Paper No. 23, 29, 2021. [PUMA: from:sylviazur ians imported vorlaeufig] URL

F. Massa, L. Ostrowski, F. Bassi, and C. Rohde. An artificial Equation of State based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier–Stokes equations. J. Comput. Phys., 110705, 2022. [PUMA: from:sylviazur ians imported vorlaeufig] URL

Martin Gander, Stephan Lunowa, and Christian Rohde. Consistent and asymptotic-preserving finite-volume domain decomposition methods for singularly perturbed elliptic equations. Domain Decomposition Methods in Science and Engineering XXVI, Lect. Notes Comput. Sci. Eng., Springer, Cham, 2021. [PUMA: imported vorlaeufig ians from:sylviazur] URL

Andrea Beck, Jakob Dürrwächter, Thomas Kuhn, Fabian Meyer, Claus-Dieter Munz, and Christian Rohde. Uncertainty Quantification in High Performance Computational Fluid Dynamics. In Wolfgang E. Nagel, Dietmar H. Kröner, and Michael M. Resch (Eds.), High Performance Computing in Science and Engineering '19, 355--371, Springer International Publishing, Cham, 2021. [PUMA: imported vorlaeufig ians from:sylviazur]

Jim Magiera, and Christian Rohde. Analysis and Numerics of Sharp and Diffuse Interface Models for Droplet Dynamics. In Kathrin Schulte, Cameron Tropea, and Bernhard Weigand (Eds.), Droplet Dynamics under Extreme Ambient Conditions, Springer International Publishing, 2022. [PUMA: from:sylviazur ians imported vorlaeufig] URL

Christian Rohde, and Hao Tang. On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena. NoDEA Nonlinear Differential Equations Appl., (28)1:Paper No. 5, 34, 2021. [PUMA: 390740016 EXC2075 am from:sylviazur ians imported pn1 updated vorlaeufig] URL

Lars von Wolff, Felix Weinhardt, Holger Class, Johannes Hommel, and Christian Rohde. Investigation of Crystal Growth in Enzymatically Induced Calcite Precipitation by Micro-Fluidic Experimental Methods and Comparison with Mathematical Modeling. Transp. Porous Media, (137)2:327--343, 2021. [PUMA: imported vorlaeufig ians from:sylviazur] URL

Timon Hitz, Jens Keim, Claus-Dieter Munz, and Christian Rohde. A parabolic relaxation model for the Navier-Stokes-Korteweg equations. J. Comput. Phys., (421):109714, 2020. [PUMA: 390740016 EXC2075 am from:sylviazur ians imported pn1 updated vorlaeufig] URL

Jan Giesselmann, Fabian Meyer, and Christian Rohde. A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. BIT Numerical Mathematics, (60)3:619-649, 2020. [PUMA: imported vorlaeufig ians from:sylviazur]

Mirela Kohr, Sergey E. Mikhailov, and Wolfgang L. Wendland. Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic coefficient tensor. Complex Variables and Elliptic Equations, (65)1:109-140, Taylor & Francis, 2020. [PUMA: imported vorlaeufig ians from:sylviazur]

Janick Thomas Gerstenberger, Samuel Burbulla, and Dietmar Kröner. Discontinuous Galerkin method for incompressible two-phase flows. In Robert Klöfkorn, Eirik Keilegavlen, Florin A. Radu, and Jürgen Fuhrmann (Eds.), Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, 675-683, Springer International Publishing, Cham, 2020. [PUMA: imported from:mathematik vorlaeufig ians from:sylviazur]