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About this book :-
Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation written by Christian Constanda, Dale Doty, William Hamill.
In this book, we consider the system of equations (known as the Winkler model that describes the equilibrium of a thin elastic plate with in-plane deformation and no bending, which lies on an elastic foundation and is subjected to Dirichlet, Neumann, or Robin boundary conditions. This model has many important applications in engineering problems arising in geotechnical research, road construction, biomechanics, and other practical fields. A brief presentation of some preliminary results can be found in [4, 5]. Our intention is to describe the mathematical model analytically and then use it to show how a boundary element method, based on the boundary integral equation technique, can be constructed and manipulated to compute an approximate (numerical) solution. The advantage of this type of approach over the use of finite elements or other classical computational procedures is two fold: it reduces the original two-dimensional setup to a one-dimensional problem, and provides a faster rate of convergence.
Book Detail :-
Title: Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation
Author(s): Christian Constanda, Dale Doty, William Hamill
Publisher: Springer International Publishing
Series: Developments in Mathematics
ISBN: 978-3-319-26307-6, 978-3-319-26309-0
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About Author :-
The author Christian Constanda , MS, PhD, DSc, The Charles W. Oliphant Professor of Mathematical Sciences, The University of Tulsa, 600 South College Avenue, Tulsa, Oklahoma 74104, USA.
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Book Contents :-
Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation written by Christian Constanda, Dale Doty, William Hamill cover the following topics.
1. The Mathematical Model
2. The Layer Potentials
3. Existence of Solutions
4. Software Development
5. Computational Examples
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