Accession Number : ADA292262

Title :   An HP-Adaptive Method in Space and Time for Parabolic Systems.

Descriptive Note : Final rept.,

Corporate Author : ARMY ARMAMENT RESEARCH DEVELOPMENT AND ENGINEERING CENTER WATERVLIET NY BENET LABS

Personal Author(s) : Flaherty, Joseph E. ; Moore, Peter K.

PDF Url : ADA292262

Report Date : DEC 1994

Pagination or Media Count : 43

Abstract : We describe an adaptive method-of-lines hp-refinement algorithm in space and time for one-dimensional vector systems of parabolic partial differential equations. Solutions are calculated using Galerkin's method with a piecewise-polynomial hierarchical basis in space and singly-implicit Runge-Kutta (SIRK) methods in time. A posteriori estimates of the local spatial and temporal discretization error are used with a priori error estimates to control spatial and temporal enrichment. Computational results are used to compare and verify the utility of several variants of the basic hp-refinement procedure. (AN)

Descriptors :   *FINITE ELEMENT ANALYSIS, *PARTIAL DIFFERENTIAL EQUATIONS, ALGORITHMS, OPTIMIZATION, COMPUTATIONS, COMPARISON, ONE DIMENSIONAL, MESH, MATHEMATICAL PROGRAMMING, ESTIMATES, SOLUTIONS(GENERAL), APPROXIMATION(MATHEMATICS), ERROR ANALYSIS, POLYNOMIALS, VECTOR ANALYSIS, REFINING, RUNGE KUTTA METHOD.

Subject Categories : Numerical Mathematics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE