Computational methods based on peridynamic and nonlocal operators : theory and applications / Timon Rabczuk, Huilong Ren, Xiaoying Zhuang.
2023
QA808.2
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Title
Computational methods based on peridynamic and nonlocal operators : theory and applications / Timon Rabczuk, Huilong Ren, Xiaoying Zhuang.
Author
ISBN
9783031209062 (electronic bk.)
3031209060 (electronic bk.)
3031209052
9783031209055
3031209060 (electronic bk.)
3031209052
9783031209055
Published
Cham, Switzerland : Springer, 2023.
Language
English
Description
1 online resource (310 pages) : illustrations (black and white, and colour).
Item Number
10.1007/978-3-031-20906-2 doi
Call Number
QA808.2
Dewey Decimal Classification
531/.7
Summary
This book provides an overview of computational methods based on peridynamics and nonlocal operators and their application to challenging numerical problems which are difficult to deal with traditional methods such as the finite element method, material failure being "only" one of them. The authors have also developed a higher-order nonlocal operator approaches capable of solving higher-order partial differential equations on arbitrary domains in higher-dimensional space with ease. This book is of interest to those in academia and industry.
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Description based on print version record.
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Series
Computational methods in engineering & the sciences.
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Table of Contents
Introduction
Dual-horizon Peridynamics
First order nonlocal operator method
Nonlocal operator method for waveguides.
Dual-horizon Peridynamics
First order nonlocal operator method
Nonlocal operator method for waveguides.