49 citations · 116 across the 30 of their papers we have counts for
39 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…
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…
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 Localized Orthogonal Decomposition Method for Heterogeneous Mixed-Dimensional Problems
Moritz Hauck, Axel Målqvist, 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…
Arbitrary order approximations at constant cost for Timoshenko beam network models
Moritz Hauck, Axel Målqvist, 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…
An algebraic multiscale method for spatial network models
Moritz Hauck, Roland Maier, Axel Målqvist
In this work, we present a multiscale approach for the reliable coarse-scale approximation of spatial network models represented by a linear system of equations with respect to the…
Localized orthogonal decomposition for a multiscale parabolic stochastic partial differential equation
Annika Lang, Per Ljung, Axel Målqvist
A multiscale method is proposed for a parabolic stochastic partial differential equation with additive noise and highly oscillatory diffusion. The framework is based on the localiz…
Well-Posedness and Finite Element Approximation of Mixed Dimensional Partial Differential Equations
Fredrik Hellman, Axel Målqvist, Malin Mosquera
We consider a mixed dimensional elliptic partial differential equation posed in a bulk domain with a large number of embedded interfaces. In particular, we study well-posedness of…
Multiscale methods for solving wave equations on spatial networks
Morgan Görtz, Per Ljung, Axel Målqvist
We present and analyze a multiscale method for wave propagation problems, posed on spatial networks. By introducing a coarse scale, using a finite element space interpolated onto t…
Super-localization of spatial network models
Moritz Hauck, Axel Målqvist
Spatial network models are used as a simplified discrete representation in a wide range of applications, e.g., flow in blood vessels, elasticity of fiber based materials, and pore…
Numerical homogenization of spatial network models
Fredrik Edelvik, Morgan Görtz, Fredrik Hellman +2
We present and analyze a methodology for numerical homogenization of spatial networks, modelling e.g. diffusion processes and deformation of mechanical structures. The aim is to co…
Iterative solution of spatial network models by subspace decomposition
Morgan Görtz, Fredrik Hellman, Axel Målqvist
We present and analyze a preconditioned conjugate gradient method (PCG) for solving spatial network problems. Primarily, we consider diffusion and structural mechanics simulations…
A space-time multiscale method for parabolic problems
Per Ljung, Roland Maier, Axel Målqvist
We present a space-time multiscale method for a parabolic model problem with an underlying coefficient that may be highly oscillatory with respect to both the spatial and the tempo…
An offline-online strategy for multiscale problems with random defects
Axel Målqvist, Barbara Verfürth
In this paper, we propose an offline-online strategy based on the Localized Orthogonal Decomposition (LOD) method for elliptic multiscale problems with randomly perturbed diffusion…
A generalized finite element method for the strongly damped wave equation with rapidly varying data
Per Ljung, Axel Målqvist, Anna Persson
We propose a generalized finite element method for the strongly damped wave equation with highly varying coefficients. The proposed method is based on the localized orthogonal deco…
A numerical multiscale method for fiber networks
Morgan Görtz, Gustav Kettil, Axel Målqvist +2
Fiber network modeling can be used for studying mechanical properties of paper. The individual fibers and the bonds in-between constitute a detailed representation of the material.…
Numerical upscaling for heterogeneous materials in fractured domains
Fredrik Hellman, Axel Målqvist, Siyang Wang
We consider numerical solution of elliptic problems with heterogeneous diffusion coefficients containing thin highly conductive structures. Such problems arise e.g. in fractured po…
Numerical upscaling of perturbed diffusion problems
Fredrik Hellman, Tim Keil, Axel Målqvist
In this paper we study elliptic partial differential equations with rapidly varying diffusion coefficient that can be represented as a perturbation of a reference coefficient. We d…
Numerical upscaling of discrete network models
Gustav Kettil, Axel Målqvist, Andreas Mark +3
In this paper a numerical multiscale method for discrete networks is presented. The method gives an accurate coarse scale representation of the full network by solving sub-network…
Finite element convergence for the time-dependent Joule heating problem with mixed boundary conditions
Max Jensen, Axel Målqvist, Anna Persson
We prove strong convergence for a large class of finite element methods for the time-dependent Joule heating problem in three spatial dimensions with mixed boundary conditions on L…
Multiscale differential Riccati equations for linear quadratic regulator problems
Axel Målqvist, Anna Persson, Tony Stillfjord
We consider approximations to the solutions of differential Riccati equations in the context of linear quadratic regulator problems, where the state equation is governed by a multi…
Numerical homogenization of elliptic PDEs with similar coefficients
Fredrik Hellman, Axel Målqvist
We consider a sequence of elliptic partial differential equations (PDEs) with different but similar rapidly varying coefficients. Such sequences appear, for example, in splitting s…
Contrast independent localization of multiscale problems
Fredrik Hellman, Axel Målqvist
The accuracy of many multiscale methods based on localized computations suffers from high contrast coefficients since the localization error generally depends on the contrast. We s…
Finite element convergence analysis for the thermoviscoelastic Joule heating problem
Axel Målqvist, Tony Stillfjord
We consider a system of equations that model the temperature, electric potential and deformation of a thermoviscoelastic body. A typical application is a thermistor; an electrical…