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Simplicial Partitions with Applications to the Finite Element Method
Michal Křízek
(Author)
·
Jan Brandts
(Author)
·
Sergey Korotov
(Author)
·
Springer
· Paperback
Simplicial Partitions with Applications to the Finite Element Method - Brandts, Jan ; Korotov, Sergey ; Křízek, Michal
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Synopsis "Simplicial Partitions with Applications to the Finite Element Method"
This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of problems involving heat conduction, linear elasticity, semiconductors, Maxwell's equations, Einstein's equations and magnetic and gravitational fields.These problems require the simulation of various phenomena and physical fields over complicated structures in three (and higher) dimensions. Since not all structures can be decomposed into simpler objects like d-dimensional rectangular blocks, simplicial partitions are important. In this book an emphasis is placed on angle conditions guaranteeing the convergence of the finite element method for elliptic PDEs with given boundary conditions. It is aimed at a general mathematical audience who is assumed to be familiar with only a few basic results from linear algebra, geometry, and mathematical and numerical analysis.
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The book is written in English.
The binding of this edition is Paperback.
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