Space–time discontinuous Galerkin approximation of acoustic waves with point singularities

P Bansal, A Moiola, I Perugia… - IMA Journal of Numerical …, 2021 - academic.oup.com
We develop a convergence theory of space–time discretizations for the linear, second-order
wave equation in polygonal domains, possibly occupied by piecewise homogeneous media …

Space-time boundary element methods for the heat equation

S Dohr, K Niino, O Steinbach - Space-Time Methods, 2019 - degruyter.com
In this chapter, we describe a space-time boundary element method for the numerical
solution of the time-dependent heat equation. As model problem, we consider the initial …

[HTML][HTML] Semi-analytic integration for a parallel space-time boundary element method modelling the heat equation

J Zapletal, R Watschinger, G Of, M Merta - Computers & Mathematics with …, 2021 - Elsevier
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 …

Nyström method for BEM of the heat equation with moving boundaries

J Tausch - Advances in Computational Mathematics, 2019 - Springer
A direct boundary integral equation method for the heat equation based on Nyström
discretization is proposed and analyzed. For problems with moving geometries, a weakly …

The Boundary Element Method for Parabolic Equation and Its Implementation in BEM++

S Wang - 2020 - scholar.smu.edu
The goal of this work is to develop a fast method for solving Galerkin discretizations of
boundary integral formulations of the heat equation. The main contribution of this work is to …

[PDF][PDF] Technische Universitat Graz

S Dohr, J Zapletal, G Of, M Merta, M Kravcenko - numerik.math.tugraz.at
In this note we describe a space-time boundary element method for the numerical solution of
the time-dependent heat equation. As model problem we consider the initial Dirichlet …