Accession Number : ADA290460

Title :   Parallel Adaptive Techniques for Transient Partial Differential Equations.

Descriptive Note : Final rept. 1 Jul 91-30 Jun 94,

Corporate Author : RENSSELAER POLYTECHNIC INST TROY NY SCIENTIFIC COMPUTATION RESEARCH CENTER

Personal Author(s) : Flaherty, Joseph E. ; Shephard, Mark S.

PDF Url : ADA290460

Report Date : 10 NOV 1994

Pagination or Media Count : 19

Abstract : As scientific and engineering problems increase in complexity, there is a corresponding need to automate a greater portion of the solution process. Adaptive methods are capable of providing many of the decisions - that arise when solving problems involving partial differential equations. When automatic mesh generation, refinement and coarsening is combined with method-order variation, it is possible to construct methods having spectral convergence rates. Accuracy and solution reliability are verified by asymptotically correct estimates of discretization errors. With parallel computation becoming more widespread and necessary, it is important to consider parallel adaptive strategies. Much more difficult to parallelize than traditional algorithms, adaptive strategies necessarily require dynamic processor scheduling because of load changes introduced by periodic solution enrichment. (AN)

Descriptors :   *ALGORITHMS, *PARALLEL PROCESSING, *PARTIAL DIFFERENTIAL EQUATIONS, SOFTWARE ENGINEERING, OPTIMIZATION, COMPUTATIONS, FINITE ELEMENT ANALYSIS, ACCURACY, INPUT OUTPUT PROCESSING, PROBLEM SOLVING, MESH, THREE DIMENSIONAL, SOLUTIONS(GENERAL), ADAPTIVE SYSTEMS, CONVERGENCE, COMPUTER PROGRAM VERIFICATION, DYNAMIC PROGRAMMING, REFINING, RUNGE KUTTA METHOD.

Subject Categories : Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE