10 papers
A Hybridizable Discontinuous Galerkin Method for Wave Propagation in Elastic Beam Networks
Moritz Hauck, Joseph Holten, Axel Målqvist +2
This paper studies the numerical solution of elastic wave propagation on networks, modeled by elastodynamic equations posed on each edge, coupled at the nodes through suitable tran…
A post-processed higher-order multiscale method for nondivergence-form elliptic equations
Moritz Hauck, Roland Maier, Timo Sprekeler
We study the finite element approximation of linear second-order elliptic partial differential equations in nondivergence form with highly heterogeneous diffusion and drift coeffic…
A Localized Orthogonal Decomposition Method for Heterogeneous Mixed-Dimensional Problems
Moritz Hauck, Axel MÃ¥lqvist, Malin Mosquera
We propose a multiscale method for mixed-dimensional elliptic problems with highly heterogeneous coefficients arising, for example, in the modeling of fractured porous media. The m…
Numerical Simulation of Beam Network Models
Morgan Görtz, Moritz Hauck, Axel Målqvist +2
Network models are used as efficient representation of materials with complex, interconnected locally one-dimensional structures. They typically accurately capture the mechanical p…
A High-Order Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems
Moritz Hauck, Alexei Lozinski
In this paper, we propose a high-order extension of the multiscale method introduced by the authors in [SIAM J. Numer. Anal., 63(4) (2025), pp. 1617--1641] for heterogeneous Stokes…
Optimal Spectral Approximation in the Overlaps for Generalized Finite Element Methods
Christian Alber, Peter Bastian, Moritz Hauck +1
In this paper, we study a generalized finite element method for solving second-order elliptic partial differential equations with rough coefficients. The method uses local approxim…