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Finite Element Method, The: Its Fundamentals And Applications In Engineering (Paperback)
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Finite Element Method, The: Its Fundamentals And Applications In Engineering (Paperback)
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This Finite Element Method offers a fundamental and practical
introduction to the finite element method, its variants, and their
applications in engineering. Every concept is introduced in the
simplest possible setting, while maintaining a level of treatment
that is as rigorous as possible without being unnecessarily
abstract. Various finite elements in one, two, and three space
dimensions are introduced, and their applications to elliptic,
parabolic, hyperbolic, and nonlinear equations and to solid
mechanics, fluid mechanics, and porous media flow problems are
addressed. The variants include the control volume, multipoint flux
approximation, nonconforming, mixed, discontinuous, characteristic,
adaptive, and multiscale finite element methods. Illustrative
computer programs in Fortran and C++ are described. An extensive
set of exercises are provided in each chapter. This book serves as
a text a for one-semester course for upper-level undergraduates and
beginning graduate students and as a professional reference for
engineers, mathematicians, and scientists.
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