Trefftz and Collocation Methods
Title: Trefftz and Collocation Methods | Author(s): Z.-C. Li, T.-T. Lu, H-Y. Hu, A. H.-D. Cheng | Publisher: WIT Press | Year: 2008 | Language: English | Pages : 433 | Size: 3 MB | Extension: pdf
This book covers a class of numerical methods that are generally referred to as Collocation Methods. Different from the Finite Element and the Finite Difference Method, the discretization and approximation of the collocation method is based on a set of unstructured points in space. This meshless feature is attractive because it eliminates the bookkeeping requirements of the element based methods. This text discusses several types of collocation methods including the radial basis function method, the Trefftz method, the Schwartz alternating method, and the couple…
MATLAB and C Programming for Trefftz Finite Element Methods
Title: MATLAB and C Programming for Trefftz Finite Element Methods | Author(s): Qing-Hua Qin, Hui Wang | Publisher: Taylor & Francis | Year: 2008 | Language: English | Pages: 451 | Size: 4 MB | Extension: pdf
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 the literature, MATLAB® and C Programming for Trefftz Finite Element Methods provides the detailed MATLAB® and C programming processes in applications of the Trefftz FEM to potential and…