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Simplicial Partitions with Applications to the Finite Element Method
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Catalogue Information
Field name
Details
Dewey Class
518
Title
Simplicial Partitions with Applications to the Finite Element Method ([EBook]) / by Jan Brandts, Sergey Korotov, Michal Křížek.
Author
Brandts, Jan
Added Personal Name
Korotov, Sergey
Křížek, Michal
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2020.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details
XV, 188 p. 102 illus., 10 illus. in color. : online resource.
Series
Springer monographs in mathematics
1439-7382
ISBN
9783030556778
Summary Note
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. .:
Mode of acces to digital resource
Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note
- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-55677-8
Links to Related Works
Subject References:
Analysis
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Analysis (Mathematics)
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Applications of Mathematics
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Applied mathematics
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Chemometrics
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Engineering mathematics
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Math. Applications in Chemistry
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Mathematical analysis
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Numerical Analysis
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Authors:
author
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Brandts, Jan
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Korotov, Sergey
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Křížek, Michal
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer monographs in mathematics
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Classification:
518
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