
Accession Number : ADA116247
Title : The Linear Finite Element Method for a TwoDimensional Singular Boundary Value Problem.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON 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 twodimensional 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