8 papers
Space-Time Galerkin Boundary Element Method for the Wave Equation
Johannes Tausch
The space-time Galerkin discretization of retarded layer potentials leads to a linear system where the coefficients are expressed in terms of integrals over the ansatz and test ele…
Quadrature for Singular Integrals over convex Polytopes
Johannes Tausch
A new algorithm for the efficient numerical approximation of weakly singular integrals over convex polytopes is introduced. Such integrals appear in the Galerkin discretizations of…
A Node Elimination Algorithm for Cubature of High-Dimensional Polytopes
Arkadijs Slobodkins, Johannes Tausch
Node elimination is a numerical approach to obtain cubature rules for the approximation of multivariate integrals. Beginning with a known cubature rule, nodes are selected for elim…
Modelling and Simulation of Power Systems with Grid-Connected Converters in OpenModelica
Lluc Figueras Llerins, Vinícius Albernaz Lacerda, Adrien Guironnet +3
This paper analyses the capabilities of the OpenModelica environment to perform electromagnetic transient (EMT) type simulations of power transmission systems with grid-connected c…
A Cartesian FMM-accelerated Galerkin boundary integral Poisson-Boltzmann solver
Jiahui Chen, Johannes Tausch, Weihua Geng
The Poisson-Boltzmann model is an effective and popular approach for modeling solvated biomolecules in continuum solvent with dissolved electrolytes. In this paper, we report our r…
Boundary integral operators for the heat equation in time-dependent domains
Rahel Brügger, Helmut Harbrecht, Johannes Tausch
This article provides a functional analytical framework for boundary integral equations of the heat equation in time-dependent domains. More specifically, we consider a non-cylindr…