This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications and practical implementations of the method, respectively. It contains numerous examples and exercises.Let cybe the maximum number of triangles sharing a given vertex in the mesh. (i) Derive an upper bound for ... (ii) Derive an upper bound for Nrow if the reference finite element is the CrouzeixaRaviart finite element. What is the advantage ofanbsp;...
|Title||:||Theory and Practice of Finite Elements|
|Author||:||Alexandre Ern, Jean-Luc Guermond|
|Publisher||:||Springer Science & Business Media - 2013-03-09|