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Introduction to Numerical Methods for Variational Problems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Introduction to Numerical Methods for Variational Problems/ by Hans Petter Langtangen, Kent-Andre Mardal.
Author:	Langtangen, Hans Petter.
other author:	Mardal, Kent-Andre.
Description:	XVI, 395 p. 88 illus., 76 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Computer mathematics. -
Online resource:	https://doi.org/10.1007/978-3-030-23788-2
ISBN:	9783030237882

Introduction to Numerical Methods for Variational Problems
Langtangen, Hans Petter.

Introduction to Numerical Methods for Variational Problems[electronic resource] /by Hans Petter Langtangen, Kent-Andre Mardal. - 1st ed. 2019. - XVI, 395 p. 88 illus., 76 illus. in color.online resource. - Texts in Computational Science and Engineering,211611-0994 ;. - Texts in Computational Science and Engineering,12.

Preface -- Quick overview of the finite element method -- Function approximation by global functions -- Function approximation by finite elements -- Variational formulations with global elements -- Variational formulations with finite elements -- Time-dependent variational forms -- Variational forms for systems of PDEs -- Nonlinear Problems -- Variational forms for linear systems -- Useful formulas.

This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.

ISBN: 9783030237882

Standard No.: 10.1007/978-3-030-23788-2doiSubjects--Topical Terms:

1199796
Computer mathematics.

LC Class. No.: QA71-90

Dewey Class. No.: 518

Introduction to Numerical Methods for Variational Problems
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