Final Report, DE-FG01-06ER25718 Domain Decomposition and Parallel Computing

Widlund, Olof B.¹ 

[1] New York Univ. (NYU), NY (United States). Courant Inst.

关键词: finite element models;    isogeometric analysis;    partial differential equations;    iterative methods;    conjugate gradient;    domain decomposition;    parallel computing;   

DOI  :  10.2172/1183895
RP-ID  :  DOE-NYU--25718
PID  :  OSTI ID: 1183895

学科分类：数学（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

The goal of this project is to develop and improve domain decomposition algorithms for a variety of partial differential equations such as those of linear elasticity and electro-magnetics.These iterative methods are designed for massively parallel computing systems and allow the fast solution of the very large systems of algebraic equations that arise in large scale and complicated simulations. A special emphasis is placed on problems arising from Maxwell's equation. The approximate solvers, the preconditioners, are combined with the conjugate gradient method and must always include a solver of a coarse model in order to have a performance which is independent of the number of processors used in the computer simulation. A recent development allows for an adaptive construction of this coarse component of the preconditioner.