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math.NA2026

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…

math.NA2026

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…

math.NA2026

Subspace decomposition with defect diffusion coefficient

Dilini Kolombage, Axel Målqvist, Barbara Verfürth

Elliptic diffusion problems with multiscale heterogeneous coefficients lead to poorly conditioned discrete systems and therefore require effective preconditioning strategies. While…

math.NA2025

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…

math.NA2024

Arbitrary order approximations at constant cost for Timoshenko beam network models

Moritz Hauck, Axel MÃ¥lqvist, Andreas Rupp

This paper considers the numerical solution of Timoshenko beam network models, comprised of Timoshenko beam equations on each edge of the network, which are coupled at the nodes of…