Simplicial partitions with applications to the finite element method / Jan Brandts, Sergey Korotov, Michal Křížek.

Format:

Book

Author/Creator:

Brandts, Jan, 1903-1966, author.

Korotov, Sergey, author.

Křížek, M., author.

Series:

Springer monographs in mathematics 1439-7382

Springer monographs in mathematics, 1439-7382

Language:

English

Subjects (All):

Partitions (Mathematics).

Finite element method.

Numerical analysis.

Mathematical analysis.

Engineering mathematics.

Chemometrics.

Numerical Analysis.

Applications of Mathematics.

Analysis.

Math. Applications in Chemistry.

Local Subjects:

Numerical Analysis.

Applications of Mathematics.

Analysis.

Math. Applications in Chemistry.

Physical Description:

xv, 188 pages : illustrations (some color) ; 25 cm.

Place of Publication:

Cham, Switzerland : Springer, [2020]

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. .

Notes:

Includes bibliographical references and index.

ISBN:

9783030556761

303055676X

OCLC:

1202590250