Accession Number : ADA290453
Title : An HP-Adaptive Method in Space and Time for Parabolic Systems.
Descriptive Note : Technical rept.,
Corporate Author : RENSSELAER POLYTECHNIC INST TROY NY
Personal Author(s) : Flaherty, Joseph E. ; Moore, Peter K.
PDF Url : ADA290453
Report Date : JUN 1993
Pagination or Media Count : 37
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.
Descriptors : *PARTIAL DIFFERENTIAL EQUATIONS, *VECTOR ANALYSIS, SPATIAL DISTRIBUTION, COMPUTATIONS, ONE DIMENSIONAL, ESTIMATES, VARIATIONS, ERROR ANALYSIS, PARABOLAS.
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE