Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.As an example, let (K, P(K), EK) be a finite element, where K is the reference triangle with vertices m1 I (0, 0), mg I (1, 0), and mg I (0, 1) in the x-plane. Furthermore, assume that this element is of the Lagrange type; that is, all degrees of freedomanbsp;...
|Title||:||Finite Element Methods and Their Applications|
|Publisher||:||Springer Science & Business Media - 2006-03-30|