MATLAB and C Programming for Trefftz Finite Element Methods

by Qing-Hua Qin, Hui Wang

Overview

Although the Trefftz finite element method (FEM) has become a powerful computational tool in the analysis of plane elasticity, thin and thick plate bending, Poisson's equation, heat conduction, and piezoelectric materials, there are few books that offer a comprehensive computer programming treatment of the subject. Collecting results scattered in t

Product Details

ISBN-13:	9781040205594
Publisher:	CRC Press
Publication date:	07/21/2008
Sold by:	Barnes & Noble
Format:	eBook
Pages:	464
File size:	188 MB
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Table of Contents

Introduction to Trefftz Finite Element Method. Foundation of MATLAB Programming. C Programming. Commonly Used Subroutines. Potential Problems. Plane Stress/Strain Problems. Treatment of Inhomogeneous Terms Using RBF Approximation. Special Purpose T-Elements.Advanced Topics for Further Programming Development. Appendicex. Index.

Editorial Reviews

"The book begins with an introduction to the hybrid-Tretz (HT) FEM that covers basic concepts and general element formulations of the method. It then concentrates on both the essentials and subroutines of MATLAB and C programming. The next few chapters present applications of T-elements to potential problems and linear plane elasticity, discuss how to solve body force in elasticity through radial basis functions, and examine how special purpose functions can be constructed. The final chapter explores advanced topics, such as the construction of Tretz p-elements, dimensionless transformation, and an alternative formulation to HT FEM. Unifying the computer programming aspects of the Tretz FEM, this book will stimulate the development and application of this novel method in many facets of practical engineering."
—Zentralblatt MATH

"The book begins with an introduction to the hybrid-Tretz (HT) FEM that covers basic concepts and general element formulations of the method. It then concentrates on both the essentials and subroutines of MATLAB and C programming. The next few chapters present applications of T-elements to potential problems and linear plane elasticity, discuss how to solve body force in elasticity through radial basis functions, and examine how special purpose functions can be constructed. The final chapter explores advanced topics, such as the construction of Tretz p-elements, dimensionless transformation, and an alternative formulation to HT FEM. Unifying the computer programming aspects of the Tretz FEM, this book will stimulate the development and application of this novel method in many facets of practical engineering."
—Zentralblatt MATH

From the Publisher