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BOUNDARY INTEGRAL EQUATION METHODS AND NUMERICAL SOLUTIONS IBD

CHRISTIAN CONSTANDA / DALE DOTY / WILLIAM HA
SPRINGER
04 / 2016
9783319263076
Inglés

Sinopsis

This bookápresents and explains a general, efficient, and elegant methodáforásolvingáthe Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation. The solutions of these problems are obtained both analytically-by means of direct and indirect boundary integral equation methods (BIEMs)-and numerically, through the application ofáa boundary elementátechnique.ááThe text discusses the methodology for constructing a BIEM, derivingáall the attending mathematical properties with full rigor.áThe modeláinvestigatedáin the book can serve as a template for the study of any linear elliptic two-dimensional problem with constant coefficients.á The representation of the solution in terms of single-layer and double-layer potentials is pivotal in the development of aáBIEM, which, in turn, forms the basis for the second part of the book, whereáapproximate solutionsáare computedáwith a high degree of accuracy.The book is intended for graduate students and researchers in the fields of boundary integral equation methods, computational mechanics and, more generally, scientists working in the areas of applied mathematics and engineering.áGiven its detailed presentation of the material, the book can also be used as a text in a specialized graduate course on the applications of the boundary element method to the numerical computation of solutionsáin a wide variety of problems.á

PVP
67,13€