Accession Number : ADA217214

Title :   Adaptive Methods for Partial Differential Equations.

Descriptive Note : Final rept. 1 Jul 88-30 Jun 89,

Corporate Author : RENSSELAER POLYTECHNIC INST TROY NY

Personal Author(s) : Flaherty, Joseph E. ; Paslow, Pamela J. ; Shepard, Mark S. ; Vasilakis, John D.

Report Date : NOV 1989

Pagination or Media Count : 276

Abstract : Topics contained in this volume include the reliability of computations; a posteriori error estimation; adaptive h-, p-, and r-refinement; method of lines and local refinement methods for time-dependent problems; parallel solution techniques; and applications of adaptive methods to problems in elasticity, fluid mechanics, and combustion. Issues of reliability, presented in the contributions by Babuska and Szabo', note the importance of specifying computational accuracy in relation to the idealizations of the mathematical model. Thus, one should envision a sequence of computations where the enhancements and refinements are added to the physical mode as the computational procedure is enriched. These ideas are a relatively new and important innovation in the field. The contributions of Berger and Hassanzadeh et al. discuss parallel adaptive procedures, which is another aspect of the field that has emerged since the early conferences and workshops. (KR)

Descriptors :   *NUMERICAL METHODS AND PROCEDURES, *ADAPTATION, *PARTIAL DIFFERENTIAL EQUATIONS, ACCURACY, ADAPTIVE SYSTEMS, COMBUSTION, COMPUTATIONS, ELASTIC PROPERTIES, ERRORS, ESTIMATES, FLUID MECHANICS, MATHEMATICAL MODELS, PARALLEL ORIENTATION, PARALLEL PROCESSING, PHYSICAL PROPERTIES, REFINING, RELIABILITY, SEQUENCES, SYMPOSIA, TIME DEPENDENCE, WORKSHOPS.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE