Boundary Collocation Techniques and Their Application in Engineering by Jan Adam Kolodziej and Andrzej Piotr Zielinski
1 edition | English | October 1, 2009 | ISBN: 1845643941 | 538 pages | PDF | 5,8 MB
Methods of mathematical modeling applied in contemporary computational
mechanics 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 general
presentation 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 the
approach are quoted. They are listed separately in each chapter,
which makes the literature survey easier to use.
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