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Simplicial partitions with applicati...

Brandts, Jan.

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Simplicial partitions with applications to the finite element method

Record Type:	Electronic resources : Monograph/item
Title/Author:	Simplicial partitions with applications to the finite element method/ by Jan Brandts, Sergey Korotov, Michal Krizek.
Author:	Brandts, Jan.
other author:	Korotov, Sergey.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xv, 188 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Partitions (Mathematics) -
Online resource:	https://doi.org/10.1007/978-3-030-55677-8
ISBN:	9783030556778

Simplicial partitions with applications to the finite element method
Brandts, Jan.

Simplicial partitions with applications to the finite element method[electronic resource] /by Jan Brandts, Sergey Korotov, Michal Krizek. - Cham :Springer International Publishing :2020. - xv, 188 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

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.

ISBN: 9783030556778

Standard No.: 10.1007/978-3-030-55677-8doiSubjects--Topical Terms:

709302
Partitions (Mathematics)

LC Class. No.: QA165

Dewey Class. No.: 512.73

Simplicial partitions with applications to the finite element method
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100 1 $a Brandts, Jan. $3 3504359
245 1 0 $a Simplicial partitions with applications to the finite element method $h [electronic resource] / $c by Jan Brandts, Sergey Korotov, Michal Krizek.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xv, 188 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
520 $a 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.
650 0 $a Partitions (Mathematics) $3 709302
650 0 $a Finite element method. $3 579714
650 0 $a Simplexes (Mathematics) $3 1086597
650 0 $a Numerical analysis. $3 517751
650 0 $a Engineering mathematics. $3 516847
650 0 $a Mathematical analysis. $3 516833
650 0 $a Chemometrics. $3 813967
650 1 4 $a Numerical Analysis. $3 892626
650 2 4 $a Applications of Mathematics. $3 890893
650 2 4 $a Analysis. $3 891106
650 2 4 $a Math. Applications in Chemistry. $3 890896
700 1 $a Korotov, Sergey. $3 3504360
700 1 $a Krizek, Michal. $3 3504361
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer monographs in mathematics. $3 1535313
856 4 0 $u https://doi.org/10.1007/978-3-030-55677-8
950 $a Mathematics and Statistics (SpringerNature-11649)