Accession Number : ADP004938

Title :   A Local Refinement Finite Element Method for Time Dependent Partial Differential Equations,

Corporate Author : RENSSELAER POLYTECHNIC INST TROY NY

Personal Author(s) : Flaherty,J. E. ; Moore,P. K.

Report Date : FEB 1985

Pagination or Media Count : 11

Abstract : This article discusses an adaptive local refinement finite element method for solving initial-boundary value problems for vector systems of partial differential equations in one space dimension and time. The method uses piecewise bilinear rectangular space-time finite elements. For each time step, grids are automatically added to regions where the local discretization error is estimated as being larger than a prescribed tolerance. The authors discuss several aspects of our algorithm, including the tree structure that is used to represent the finite element solution and grids, an error estimation technique, and initial and boundary conditions at coarse-fine mesh interfaces. They also present computational results for a simple linear hyperbolic problem, a problem involving Burger's equation, and a model combustion problem. (Author)

Descriptors :   *FINITE ELEMENT ANALYSIS, *PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, TIME DEPENDENCE, PROBLEM SOLVING, GRIDS, ALGORITHMS

Distribution Statement : APPROVED FOR PUBLIC RELEASE