Dr. rer. nat. Marius Paul Bruchhäuser

Publikationen

M. Bause, M. P. Bruchhäuser, B. Endtmayer, N. Margenberg, I. Toulopoulos, T. Wick,
Multi-goal-oriented anisotropic error control and mesh adaptivity for time-dependent convection-dominated problems,
PAMM  26, no. 2: e70140. (2026),
[https://doi.org/10.1002/pamm.70140][arXiv:2507.00723]

M. P. Bruchhäuser, M. Bause, N. Margenberg,
Goal-oriented space-time adaptivity for the Navier–Stokes equations based on the dual weighted residual method,
Computer. Math. App., submitted (2026),
[arXiv:2607.00686]

M. Bause, M. P. Bruchhäuser, B. Endtmayer, N. Margenberg, I. Toulopoulos, T. Wick,
Goal-oriented anisotropic error control and mesh adaptation in finite element methods,
Numerical Mathematics and Advanced Applications ENUMATH 2025, Lect. Notes Comput. Sci. Eng., Springer, Cham, submitted (2026)

M. P. Bruchhäuser, N. Margenberg, M. Bause,
Goal-oriented space-time adaptivity for nonstationary incompressible flow problems,
in Research Perspectives Ghent Analysis and PDE Center, Advanced Computational Methods in Engineering and Applied Mathematics:
Extended Abstracts ACOMEN 2025, Birkhäuser, Cham, in press (2026)

N. Margenberg, B. Endtmayer, M. P. Bruchhäuser,
Anisotropic hp space–time adaptivity and goal-oriented error control for convection-dominated problems,
Comput. Methods Appl. Mech. Eng., vol. 461, Part A: 119190, (2026),
[https://doi:10.1016/j.cma.2026.119190][arXiv:2602.13843]

M. Bause, M. P. Bruchhäuser, B. Endtmayer, N. Margenberg, I. Toulopoulos, T. Wick,
Anisotropic space-time goal-oriented error control and mesh adaptivity for convection-diffusion-reaction equations.
J. Numer. Math., accepted (2026),
[https://doi:10.1515/jnum-2025-0061][arXiv:2504.04951]

M. P. Bruchhäuser,  M. Bause,
Numerical study of approximation techniques for the temporal weights to the DWR method,
in: A. Sequeira, A. Silvestre, S. S. Valtchev, J. Janela (eds.), Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1. ENUMATH 2023. Lect. Notes Comput. Sci. Eng., vol. 153, Springer, Cham, pp. 177–187 (2025),
[https://doi.org/10.1007/978-3-031-86173-4_18] [arXiv:2407.13418]

M. P. Bruchhäuser, M. Bause, A cost-efficient space-time adaptive algorithm for coupled flow and transport, Comput. Methods Appl. Math. (2023); [https://doi.org/10.1515/cmam-2022-0245] [arXiv:2212.02954]

M. P. Bruchhäuser, U. Köcher, M. Bause, On the implementation of an adaptive multirate framework for coupled transport and flow, J. Sci. Comput. 93, 59 (2022); [https://doi.org/10.1007/s10915-022-02026-z  ] [arXiv:2202.03748v1]

M. Bause, M. P. Bruchhäuser, U. Köcher, Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow, Computers and Mathematics with Applications, Comput. Math. Appl. 91, pp. 17-35 (2021), [https://doi.org/10.1016/j.camwa.2020.08.028] [ arXiv:2002.06855v2 ]

U. Köcher, M. P. Bruchhäuser, M. Bause, Efficient and scalable data structures and algorithms for goal-oriented adaptivity of space-time FEM codes, SoftwareX, 10 (2019), 100239, [ doi:10.1016/j.softx.2019.100239 ] [ arXiv:1812.08558 ] [ code on github:dtm-project/dwr-diffusion ]

M. P. Bruchhäuser, K. Schwegler, M. Bause, Dual weighted residual based  error control for nonstationary convection-dominated equations: potential or ballast?, in G. R. Barrenechea, J. Mackenzie (eds.), Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018, Lecture Notes in Comput. Sci. Eng., vol. 135, Springer, Cham pp. 1-17 (2020);[https://doi.org/10.1007/978-3-030-41800-7_1]  [arXiv: 1812.06810]

M. P. Bruchhäuser, K. Schwegler, M. Bause, Numerical study of goal- oriented error control for stabilized finite element methods, in T. Apel et al. (eds.), Advanced Finite Element Methods with Applications. FEM 2017, Lecture Notes in Comput. Sci. Eng., vol. 128, Springer, Cham, pp. 85-106 (2019); [ https://doi:10.1007/978-3-030-14244-5_5 ] [ arXiv:1803.10643 ]

Monographien

M. P. Bruchhäuser, Goal-Oriented Space-Time Adaptivity for a Multirate Approach to Coupled Flow and Transport, Ph.D. thesis, Department of Mechanical and Civil Engineering of the Helmut-Schmidt-University, University of the German Federal Armed Forces Hamburg, pp. 1-285, 2022; [https://doi.org/10.24405/14380]

M. P. Bruchhäuser, Heterogeneous Multiscale Methods am Beispiel des inversen Pendels, Diploma Thesis (Diplomarbeit), Eberhard Karls University of Tübingen, Faculty of Science, Department of Mathematics, Numerical Analysis, 2013

Technische Referenzen

K. Schwegler, M. P. Bruchhäuser, M. Bause, Goal-oriented a posteriori error control for nonstationary convection-dominated transport problems, Technical Report, p. 1-34, 2018 [arXiv: 1601.06544v2]

HSU

Letzte Änderung: 16. Juli 2026