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Simplicial Partitions with Applications to the Finite Element Method (Paperback, 1st ed. 2020)
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Simplicial Partitions with Applications to the Finite Element Method (Paperback, 1st ed. 2020)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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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.
General
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