Accession Number : ADA301749

Title :   Finite Element Method for Solving Problems with Singular Solutions.

Descriptive Note : Technical note,

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

Personal Author(s) : Babuska, I. ; Andersson, B. ; Guo, B. ; Oh, H. S. ; Melenk, J. M.

PDF Url : ADA301749

Report Date : JUL 1995

Pagination or Media Count : 26

Abstract : Numerical treatment of the elliptic boundary value problem with nonsmooth solution by the finite element method is discussed. The nonsmoothness could have its origin in the unsmooth boundary or the differential equation. This paper, which is a survey of the recent results, elaborates among others on the method of auxiliary mapping, the partition of unity finite element method and the hp version of FEM in three-dimensions. Numerical examples illustrate mathematical results. (AN)

Descriptors :   *FINITE ELEMENT ANALYSIS, SOLUTIONS(GENERAL), APPROXIMATION(MATHEMATICS), BOUNDARY VALUE PROBLEMS, POLYNOMIALS, PARTIAL DIFFERENTIAL EQUATIONS, CONVERGENCE, NUMERICAL METHODS AND PROCEDURES, MAPPING(TRANSFORMATIONS), ANALYTIC FUNCTIONS, LAPLACE TRANSFORMATION.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE