Time-domain boundary integral equation modeling of heat transmission problems
Numerical Analysis
2017-11-08 v1
Abstract
This paper investigates the numerical modeling of a time-dependent heat transmission problem by the convolution quadrature boundary element method. It introduces the latest theoretical development into the error analysis of the numerical scheme. Semigroup theory is applied to obtain stability in spatial semidiscrete scheme. Functional calculus is employed to yield convergence in the fully discrete scheme. In comparison to the traditional Laplace domain approach, we show our approach gives better estimates.
Keywords
Cite
@article{arxiv.1711.02375,
title = {Time-domain boundary integral equation modeling of heat transmission problems},
author = {Tianyu Qiu and Alexander Rieder and Francisco-Javier Sayas and Shougui Zhang},
journal= {arXiv preprint arXiv:1711.02375},
year = {2017}
}