عنوان

Finite element exterior calculus /

(Number (ISBN

1611975530

(Number (ISBN

9781611975536

Erroneous ISBN

9781611975543

Title Proper

Finite element exterior calculus /

General Material Designation

[Book]

First Statement of Responsibility

Douglas N. Arnold, University of Minnesota, Minneapolis, Minnesota.

Place of Publication, Distribution, etc.

Philadelphia :

Name of Publisher, Distributor, etc.

Society for Industrial and Applied Mathematics,

Date of Publication, Distribution, etc.

[2018]

Date of Publication, Distribution, etc.

©2018

Specific Material Designation and Extent of Item

xi, 120 pages :

Other Physical Details

illustrations ;

Dimensions

26 cm.

Series Title

CBMS-NSF regional conference series in applied mathematics ;

Volume Designation

93

Text of Note

Series number from cover.

Text of Note

Includes bibliographical references (pages 113-117) and index.

Text of Note

Introduction -- Basic notions of homological algebra -- Basic notions of unbounded operators on Hilbert spaces -- Hilbert complexes -- Approximation of Hilbert complexes -- Basic notions of exterior calculus -- Finite element differential forms -- Further directions and applications.

0

Text of Note

"Computational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical world--wave propagation, thermodynamics, fluid flow, solid deformation, electricity and magnetism, quantum mechanics, general relativity, and many more--are described by differential equations. We depend on numerical methods for the ability to simulate, explore, predict, and control systems involving these processes. The finite element exterior calculus, or FEEC, is a powerful new theoretical approach to the design and understanding of numerical methods to solve partial differential equations (PDEs). The methods derived with FEEC preserve crucial geometric and topological structures underlying the equations and are among the most successful examples of structure-preserving methods in numerical PDEs. This volume aims to help numerical analysts master the fundamentals of FEEC, including the geometrical and functional analysis preliminaries, quickly and in one place. It is also accessible to mathematicians and students of mathematics from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs." --Publisher's description.

Title

Finite element exterior calculus

International Standard Book Number

9781611975543

Calculus of variations.

Calculus.

Differential equations-- Numerical solutions.

Finite element method.

Calculus of variations.

Calculus.

Differential equations-- Numerical solutions.

Finite element method.

Number

Edition

Class number

Book number

Arnold, Douglas N.,1954-

Date of Transaction

20200823050108.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y