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Adaptive Methods for Partial Differential Equations
Flaherty, Joseph E.; Paslow, Pamela J.; Shepohard, Mark S.; Vasilakis, John D. - Editors
Language: English
Published by SIAM - Society for Industrial & Applied Mathematics, Philadelphia, Pennsylvania, U.S.A. 1989
- Softcover
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Trade Paperback. Condition: Very Good. 265 Pages. A round embossed owner's seal on front and back endpapers. Interior text pages are flawless. This book is a record of the October 13-15, 1988 workshop sponsored by the US Army Research Office held at the Rensselaer Polytechnic Institute. There were seventy participants attending…the workshop and listened to nineteen lectures covering the theoretical and computational aspects of adaptive approaches and the use of these methods in selected applications. The aim of this book is to record the spirit of this workshop by including papers that are based on most of these presentations. 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 Babuika 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 model 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.
