49 citations · 116 across the 30 of their papers we have counts for
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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…