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Introduction to numerical methods fo...

Langtangen, Hans Petter.

Introduction to numerical methods for variational problems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to numerical methods for variational problemsby Hans Petter Langtangen, Kent-Andre Mardal.
Author:	Langtangen, Hans Petter.
other author:	Mardal, Kent-Andre.
Published:	Cham :Springer International Publishing :2019.
Description:	xvi, 395 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Variational inequalities (Mathematics)
Online resource:	https://doi.org/10.1007/978-3-030-23788-2
ISBN:	9783030237882$q(electronic bk.)

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. - Cham :Springer International Publishing :2019. - xvi, 395 p. :ill., digital ;24 cm. - Texts in computational science and engineering,211611-0994 ;. - Texts in computational science and engineering ;6..

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$q(electronic bk.)

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

185202
Variational inequalities (Mathematics)

LC Class. No.: QA316 / .L364 2019

Dewey Class. No.: 515.64

Introduction to numerical methods for variational problems
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245 1 0 $a Introduction to numerical methods for variational problems $h [electronic resource] / $c by Hans Petter Langtangen, Kent-Andre Mardal.
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505 0 $a 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.
520 $a 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.
650 0 $a Variational inequalities (Mathematics) $3 185202
650 0 $a Finite element method. $3 184533
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700 1 $a Mardal, Kent-Andre. $3 560656
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