Finite Element Method Chen Zhangxin
"The Finite Element Method" offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering. Various finite elements in one, two, and three space dimensions are introduced, and their applications to ellip… Celý popis ↓
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Popis Finite Element Method Chen Zhangxin
Finite Element Method Chen Zhangxin
"The Finite Element Method" offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering. 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. 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.
Illustrative computer programs in Fortran and C++ are described. The variants include the control volume, multipoint flux approximation, nonconforming, mixed, discontinuous, characteristic, adaptive, and multiscale finite element methods. 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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