Simplicial partitions with applications to the finite element method.
2020
QA1-939
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Details
Title
Simplicial partitions with applications to the finite element method.
Author
Brandts, Jan.
ISBN
9783030556778 (electronic book)
3030556778 (electronic book)
303055676X
9783030556761
3030556778 (electronic book)
303055676X
9783030556761
Publication Details
[S.l.] : SPRINGER, 2020.
Language
English
Description
1 online resource
Call Number
QA1-939
Dewey Decimal Classification
518
Summary
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.-- Provided by publisher.
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Digital File Characteristics
text file PDF
Series
Springer monographs in mathematics, 1439-7382
Available in Other Form
Print version: 9783030556761
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