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

DOI10.1016/j.camwa.2021.10.025OpenAlexW3212746371MaRDI QIDQ825479

Michal Merta, Günther Of, Raphael Watschinger, Jan Zapletal

Publication date: 17 December 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.09811

zbMATH Keywords

heat equationboundary element methodintegrationspace-timeparallelisation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items

An integration by parts formula for the bilinear form of the hypersingular boundary integral operator for the transient heat equation in three spatial dimensions ⋮ A Parallel Fast Multipole Method for a Space-Time Boundary Element Method for the Heat Equation ⋮ A time-adaptive space-time FMM for the heat equation ⋮ Adaptive space-time BEM for the heat equation

Cites Work

• Unnamed Item
• Unnamed Item
• A fast Galerkin method for parabolic space-time boundary integral equations
• Boundary integral operators for the heat equation
• The construction of some efficient preconditioners in the boundary element method
• Parallel and vectorized implementation of analytic evaluation of boundary integral operators
• Integral equations. Theory and numerical treatment
• A parallel solver for a preconditioned space-time boundary element method for the heat equation
• A parallel space-time boundary element method for the heat equation
• Quadrature for parabolic Galerkin BEM with moving surfaces
• Complexity analysis of a fast directional matrix-vector multiplication
• The fast solution of boundary integral equations.
• Boundary element quadrature schemes for multi- and many-core architectures
• Operator preconditioning
• 1. Space-time boundary element methods for the heat equation
• Measure and Integral
• An Efficient Galerkin Boundary Element Method for the Transient Heat Equation
• A Flexible Inner-Outer Preconditioned GMRES Algorithm