64 citations · 188 across the 35 of their papers we have counts for
6 papers · 1 filter
ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics
Andreas Buhr, Christian Engwer, Mario Ohlberger +1
The simulation method ArbiLoMod has the goal to provide users of Finite Element based simulation software with quick re-simulation after localized changes to the model under consid…
A Mixed Finite Element Method to Solve the EEG Forward Problem
Johannes Vorwerk, Christian Engwer, Sampsa Pursiainen +1
Finite element methods have been shown to achieve high accuracies in numerically solving the EEG forward problem and they enable the realistic modeling of complex geometries and im…
An unfitted discontinuous Galerkin scheme for conservation laws on evolving surfaces
Christian Engwer, Thomas Ranner, Sebastian Westerheide
Motivated by considering partial differential equations arising from conservation laws posed on evolving surfaces, a new numerical method for an advection problem is developed and…
Efficient implementation of the Localized Orthogonal Decomposition method
Christian Engwer, Patrick Henning, Axel Målqvist +1
In this paper we present algorithms for an efficient implementation of the Localized Orthogonal Decomposition method (LOD). The LOD is a multiscale method for the numerical simulat…
Geometric Integration Over Irregular Domains with topologic Guarantees
Christian Engwer, Andreas Nüßing
Implicitly described domains are a well established tool in the simulation of time dependent problems, e.g. using level-set methods. In order to solve partial differential equation…
The Unfitted Discontinuous Galerkin Method for Solving the EEG Forward Problem
Andreas Nüßing, Carsten H. Wolters, Heinrich Brinck +1
Objective: The purpose of this study is to introduce and evaluate the unfitted discontinuous Galerkin finite element method (UDG-FEM) for solving the electroencephalography (EEG) f…