A Practical Guide to Boundary Element Methods with the Software Library BEMLIB C. Pozrikidis,
Publisher: CRC
ISBN: 1584883235
DDC: 620.00151535
Edition: Hardcover; 2002-05-15
Summary:
The boundary-element method is a powerful numerical technique for
solving partial differential equations encountered in applied
mathematics, science, and engineering. The strength of the method
derives from its ability to solve with notable efficiency problems in
domains with complex and possibly evolving geometry where traditional
methods can be demanding, cumbersome, or unreliable. This
dual-purpose text provides a concise introduction to the theory and
implementation of boundary-element methods, while simultaneously
offering hands-on experience based on the software library BEMLIB.
BEMLIB contains four directories comprising a collection of FORTRAN
77 programs and codes on Green's functions and boundary-element
methods for Laplace, Helmholtz, and Stokes flow problems. The
software is freely available from the Internet site: http://bemlib.ucsd.edu The first seven chapters of the text discuss
the theoretical foundation and practical implementation of the
boundary-element method. The material includes both classical topics
and recent developments, such as methods for solving inhomogeneous,
nonlinear, and time-dependent equations. The last five chapters
comprise the BEMLIB user guide, which discusses the mathematical
formulation of the problems considered, outlines the numerical
methods, and describes the structure of the boundary-element codes. A
Practical Guide to Boundary Element Methods with the Software Library
BEMLIB is ideal for self-study and as a text for an introductory
course on boundary-element methods, computational mechanics,
computational science, and numerical differential equations.
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