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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Boundary Integral Equation Methods and Numerical Solutions - Thin Plates on an Elastic Foundation (Hardcover, 1st ed. 2016)
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Boundary Integral Equation Methods and Numerical Solutions - Thin Plates on an Elastic Foundation (Hardcover, 1st ed. 2016)
Series: Developments in Mathematics, 35
Expected to ship within 12 - 17 working days
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This book presents and explains a general, efficient, and elegant
method for solving the 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
of a boundary element technique. The text discusses the methodology
for constructing a BIEM, deriving all the attending mathematical
properties with full rigor. The model investigated in the book can
serve as a template for the study of any linear elliptic
two-dimensional problem with constant coefficients. The
representation of the solution in terms of single-layer and
double-layer potentials is pivotal in the development of a BIEM,
which, in turn, forms the basis for the second part of the book,
where approximate solutions are computed with 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. Given 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 solutions
in a wide variety of problems.
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