activity
20152021
most citedA parallel fast multipole method for a space-time boundary element method for the heat equation

6 citations · 14 across the 4 of their papers we have counts for

collaborators

6 papers

math.NA2021★ 6 cited

A parallel fast multipole method for a space-time boundary element method for the heat equation

Raphael Watschinger, Michal Merta, Günther Of +1

We present a novel approach to the parallelization of the parabolic fast multipole method for a space-time boundary element method for the heat equation. We exploit the special tem…

math.NA2021★ 3 cited

An integration by parts formula for the bilinear form of the hypersingular boundary integral operator for the transient heat equation in three spatial dimensions

Raphael Watschinger, Günther Of

While an integration by parts formula for the bilinear form of the hypersingular boundary integral operator for the transient heat equation in three spatial dimensions is available…

math.NA2021★ 5 cited

Semi-analytic integration for a parallel space-time boundary element method modeling the heat equation

Jan Zapletal, Raphael Watschinger, Günther Of +1

The presented paper concentrates on the boundary element method (BEM) for the heat equation in three spatial dimensions. In particular, we deal with tensor product space-time meshe…

math.NA2020

Complexity Analysis of a Fast Directional Matrix-Vector Multiplication

Günther Of, Raphael Watschinger

We consider a fast, data-sparse directional method to realize matrix-vector products related to point evaluations of the Helmholtz kernel. The method is based on a hierarchical par…

math.NA2018

A parallel solver for a preconditioned space-time boundary element method for the heat equation

Stefan Dohr, Michal Merta, Günther Of +2

We describe a parallel solver for the discretized weakly singular space-time boundary integral equation of the spatially two-dimensional heat equation. The global space-time nature…

math.NA2015

A non-symmetric coupling of the finite volume method and the boundary element method

Christoph Erath, Günther Of, Francisco-Javier Sayas

As model problem we consider the prototype for flow and transport of a concentration in porous media in an interior domain and couple it with a diffusion process in the correspondi…