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Preconditioning by Fast Direct Methods for Non-Self-Adjoint Nonseparable Elliptic Equations

机译：非自伴不可分椭圆方程的快速直接预处理

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摘要

We consider the use of fast direct methods as preconditioners for iterative methods for computing the numerical solution of non-self-adjoint elliptic boundary value problems. We derive bounds on convergence rates that are independent of discretization mesh size. For two-dimensional problems on rectangular domains, discretized on an nxn grid, these bounds lead to asymptotic operation counts of O(n squared log n 1/log epsilon) to achieve relative error epsilon and O(n squared (log n) squared) to reach truncation error.

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作者
Elman, H. C.; Schultz, M. H.;
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年度 1983
页码 p.1-21
总页数 21
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Boundary value problems; Convergence; Finite difference theory; Linear differential equations; Iterations;

机译：边值问题;收敛性;有限差分理论;线性微分方程;迭代;

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3. PRECONDITIONING TECHNIQUES FOR REDUCED BASIS METHODS FOR PARAMETERIZED ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS [J] . Elman Howard C., Forstall Virginia SIAM Journal on Scientific Computing . 2015,第5期

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4. Parallel Iterative Methods with Factored Preconditioning Matrices for Solving Discrete Elliptic Equations [C] . O.Yu. Milyukova, Institute for Mathematical Modelling of Russian Academy of Sciences Parallel CDF Conference . 2004

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Preconditioning by Fast Direct Methods for Non-Self-Adjoint Nonseparable Elliptic Equations

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