Accession Number : ADA301745

Title :   Regularity of the Solutions for Elliptic Problems on Nonsmooth Domains in R3. Part 2: Regularity in Neighborhoods of Edges.

Descriptive Note : Technical note,

Corporate Author : MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY

Personal Author(s) : Guo, Benqi ; Babuska, Ivo

PDF Url : ADA301745

Report Date : MAR 1995

Pagination or Media Count : 36

Abstract : This paper is the second in a series of three devoted to the analysis of regularity of solutions of elliptic problems on nonsmooth domains in R3. The present paper concentrates on the regularity of solution of Poisson equation in neighborhoods of edges of a polyhedral domain in the frame of the weighted Sobolev spaces and countably normed spaces. These results can be generalized to elliptic problems arising form mechanics and engineering; for instance, the elasticity problem on polyhedral domains.

Descriptors :   *NUMERICAL ANALYSIS, *POISSON EQUATION, EDGES, WEIGHTING FUNCTIONS, THREE DIMENSIONAL, SOLUTIONS(GENERAL), APPROXIMATION(MATHEMATICS), POLYNOMIALS, PARTIAL DIFFERENTIAL EQUATIONS, CONVERGENCE, APPLIED MATHEMATICS.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE