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关键词:
Numerical Methods for Black-Box Software in Computational Continuum Mechanics
书目信息
ISBN:
9783111319568
本馆索书号:
中图分类号:
O3
中文译名:
计算连续体力学中黑盒软件的数值方法:并行高性能计算
作者:
Sergey I. Martynenko
编者:
语种:
英语
出版信息
出版社:
De Gruyter
出版地:
出版年:
2023
版本:
1
版本类型:
原版
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卷期:
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前言:
摘要:
The organization of the material is presented as follows: This introductory chapter I represents a theoretical analysis of the computational algorithms for a numerical solution of the basic equations in continuum mechanics. In this chapter, the general requirements for computational grids, discretization, and iterative methods for black-box software are examined. Finally, a concept of a two-grid algorithm for (de-)coupled solving multidimensional non-linear (initial-)boundary value problems in continuum mechanics (multiphysics simulation) in complex domains is presented. Chapter II contains descriptions of the sequential Robust Multigrid Technique which is developed as a general-purpose solver in black-box codes. This chapter presents the main components of the Robust Multigrid Technique (RMT) used in the two-grid algorithm (Chapter I) to compute the auxiliary (structured) grid correction. This includes the generation of multigrid structures, computation of index mapping, and integral evaluation. Finite volume discretization on the multigrid structures will be explained by studying a 1D linear model problem.
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