Boundary Collocation Techniques and Their Application in Engineering PDF
337 Pages·2009·5.811 MB·English
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Preview Boundary Collocation Techniques and Their Application in Engineering
Description:
Methods of mathematical modeling applied in contemporary computationalmechanics can be either purely numerical or analytical-numerical procedures. Purely analytical solutions are losing their popularity because of strong limitations connected with the simple regions and the mostly linear equations to which they can be applied. The fundamental monographs (for example, those on elastic solids, fluid mechanics or heat exchange) are always popular and often quoted, but as sources of comparative benchmarks confirming correctness and accuracy of computer solutions.This volume is divided into two parts. The first part provides a generalpresentation of the boundary collocation approach and its numerous variants. In the second part the method is applied to many different engineering problems, showing its properties, accuracy and convergence. Both evident advantages and also limitations of the approach are clearly presented. The observations are based mainly on investigations, carried out in the last two decades, by the authors and their co-operators. The monograph includes figures and tables that present results of numerical examples. Over 1000 papers and monographs concerning theapproach are quoted. They are listed separately in each chapter,which makes the literature survey easier to use.The book will be useful to engineers and scientific workers who are solving problems of solid and fluid mechanics with the help of boundary methods.
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