Qing-Hua Q., Hui W. MatLAB and C Programming for Trefftz Finite Element Methods

CRC Press, 2009. — 446 p.The purpose of this book is to provide the detailed MatLAB and C programming processes in applications of the Trefftz finite element method to potential and elastic problems, helping readers to take what may be a painful step from mathematical formulation to computer programming, enabling them to develop appropriate programs for their own particular applications. The methods and programming process in this book are described with the objective of making them easy to understand and accessible to research scientists, professional engineers and postgraduate students.
This book consists of nine chapters and four appendices. The first chapter gives an introduction and overview of the Hybrid-Trefftz finite element method. Basic concepts and general element formulations of the method are described, as well as comparison of T-elements with conventional finite elements and boundary elements. Chapters 2 and 3 concentrate on the essentials of MatLAB and C programming, to provide a source for reference in later chapters. Chapter 4 presents MatLAB and C subroutines commonly applied in Chapters 5-
8. Applications of T-elements to potential problems and linear plane elasticity are described in Chapters 5 and
6. Chapter 7 deals with domain integrals caused by generalized body force terms. Based on the concept used in dual-reciprocity boundary element method, an approach to deal with arbitrary sources in potential problems and body force in elasticity by way of radial basis functions is presented. Chapter 8 describes MatLAB and C programming for special circular hole elements. Some advanced topics, including construction of Trefftz p-elements, dimensionless transformation, and an alternative formulation to HT-FEM, are discussed in Chapter 9.