Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

Author: Ivo Babuska

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 487

ISBN-13: 1461242487

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With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.


Parallel Solution Methods in Computational Mechanics

Parallel Solution Methods in Computational Mechanics

Author: Manolis Papadrakakis

Publisher:

Published: 1997-04-17

Total Pages: 528

ISBN-13:

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This book follows the previously published title, Solving Large-scale Problems in Mechanics, edited by M. Papadrakakis. This first volume to be published in the Wiley Series in Solving Large-scale Problems in Mechanics is devoted to high-performance computing using the new generation of computers with parallel and distributed computing capabilities. Parallel and distributed processing is a rapidly growing area of high technology where engineering applications lagged behind hardware advances. New algorithms and codes are required in order to exploit effectively modern computer architectures, as programs suitable for conventional computers achieve very modest performances on these new machines. There is therefore an urgent need to develop and test powerful solution and data handling techniques capable of exploiting the potential of modern computers and of accomplishing the solution of complex engineering problems in an acceptable computing time. This volume intends capturing the latest developments in the field and to serve as an essential reference book on the subject. It comprises a comprehensive state-of-the-art treatment of theory and practice, illustrated by extensive numerical examples.