A least squares decomposition method for solving elliptic equations-Reference-Cited by-同舟云学术

A least squares decomposition method for solving elliptic equations

Published:1977 Issue:140 Volume:31 Page:873-880
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Jespersen Dennis C.

Abstract

This paper analyzes a numerical method for solving second-order elliptic partial differential equations. The idea is to write the equation as a lower-order system and solve the system using least squares techniques. Error estimates are derived for a model problem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1977-31-140/S0025-5718-1977-0461948-0/S0025-5718-1977-0461948-0.pdf

Reference10 articles.

1. Survey lectures on the mathematical foundations of the finite element method;Babuška, Ivo,1972

2. A generalized Ritz-least-squares method for Dirichlet problems;Bramble, James H.;SIAM J. Numer. Anal.,1973

3. Least squares methods for 2𝑚th order elliptic boundary-value problems;Bramble, J. H.;Math. Comp.,1971

4. Semidiscrete least-squares methods for a parabolic boundary value problem;Bramble, James H.;Math. Comp.,1972

5. D. JESPERSEN, A Least Squares Decomposition Method for the Numerical Solution of Elliptic Partial Differential Equations, Dissertation, University of Michigan, 1976.

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