Accession Number : ADA187871
Title : The Optimal Convergence Rate of the p-Version of the Finite Element Method.
Descriptive Note : Research rept.,
Corporate Author : MARYLAND UNIV BALTIMORE COUNTY CATONSVILLE DEPT OF MATHEMATICS
Personal Author(s) : Babuska, I ; Suri, Manil
PDF Url : ADA187871
Report Date : Oct 1985
Pagination or Media Count : 59
Abstract : The p-Version of the finite element method has been previously analyzed for elliptic problems with homogeneous boundary conditions. For a homogeneous condition of the Dirichlet type, it was shown that the exponential asymptotic convergence rate was optimal up to an arbitrarily small positive parameter epsilon. In this paper, an alternate proof is discussed which yields a better estimate by removing the dependence on epsilon. The analysis is extended to treat problems with inhomogeneous boundary conditions of both the Dirichlet and Neumann type. Estimates for a case when the solution has singularities at the corners of the domain are also provided. Keywords: Approximation(Mathematics); Polynomials.
Descriptors : *FINITE ELEMENT ANALYSIS, BOUNDARIES, CONVERGENCE, ELLIPSES, HOMOGENEITY, OPTIMIZATION, POLYNOMIALS, RATES, APPROXIMATION(MATHEMATICS)
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE