Nyström method for BEM of the heat equation with moving boundaries

DOI10.1007/s10444-019-09720-xzbMath1434.58009OpenAlexW2970271840MaRDI QIDQ2305557

Johannes Tausch

Publication date: 11 March 2020

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-019-09720-x

zbMATH Keywords

heat equationboundary integral equationmoving boundary problemfinite part integralNyström method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Heat equation (35K05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (7)

Boundary integral operators for the heat equation in time-dependent domains ⋮ Optimization problems for PDEs in weak space-time form. Abstracts from the workshop held March 5--10, 2023 ⋮ A novel method for linear and nonlinear fractional Volterra integral equations via cubic hat functions ⋮ On the space-time discretization of variational retarded potential boundary integral equations ⋮ Adaptive space-time BEM for the heat equation ⋮ On the Numerical Solution of a Time-Dependent Shape Optimization Problem for the Heat Equation ⋮ On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem

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