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.
Hui Wang, Qing-Hua Qin
"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
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