A Time-Adaptive Space-Time FMM for the Heat Equation

被引：0
|
作者：
Watschinger, Raphael [1 ]
Of, Guenther [1 ]
机构：
[1] Graz Univ Technol, Inst Appl Math, Graz, Austria
来源：
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2023年 / 23卷 / 02期
基金：
奥地利科学基金会;
关键词：
Boundary Element Method; Space-Time Method; Heat Equation; FMM; Adaptivity; BOUNDARY-ELEMENT METHOD; MULTIPOLE ALGORITHM;
D O I：
10.1515/cmam-2022-0117
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a new time-adaptive FMM for a space-time boundary element method for the heat equation. The method extends the existing parabolic FMM by adding new operations that allow for an efficient treatment of tensor product meshes which are adaptive in time. We analyze the efficiency of the new operations and the approximation quality of the related kernel expansions and present numerical experiments that reveal the benefits of the new method.
引用
收藏
页码：445 / 471
页数：27
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