Accession Number : ADA116247

Title :   The Linear Finite Element Method for a Two-Dimensional Singular Boundary Value Problem.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Zhou,S Z

PDF Url : ADA116247

Report Date : May 1982

Pagination or Media Count : 19

Abstract : The numerical solution of singular boundary value problems have been studied by several authors. The finite difference methods and its theory for a type of two-dimensional singular boundary value problems are given in (10), (13). The finite element method for axisymmetric elastic solid is proposed in (16). (5), (11), (14) and (20), gives a proof of the convergence of the finite element methods for one dimensional singular problems. (12) proves the 'optimal' order of convergence for the method of (16) provided the loads are axisymmetric and the solution is in C to the k + one power (bar omega). The convergence of the linear finite element method for two dimensional singular Dirichlet problem is proved in (18). (Author)

Descriptors :   *Finite element analysis, *Two dimensional, *Boundary value problems, *Linear algebraic equations, Weighting functions, Convergence, Numerical analysis, Finite difference theory, One dimensional, Elastic properties, Solids, Axisymmetric

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE