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Título del libro: Numerical Modeling Of Coupled Phenomena In Science And Engineering: Practical Use And Examples
Título del capítulo: Enhanced finite elements: A unified approach

Autores UNAM:
ISMAEL HERRERA REVILLA;
Autores externos:

Idioma:
Inglés
Año de publicación:
2008
Resumen:

The standard finite element method (FEM) is optimal for the Laplace operator and for some other elliptic symmetric operators; however, good numerical performance of ?standard FEM? is not granted in other cases. Many approaches have been proposed for alleviating such deficiencies. The main purpose of such efforts is to increase the computational efficiency; including degrees-offreedom reduction, improvement ofmatrix structure, condition number and stability, aswell as overcoming difficulties occurring in special problems such as advection-dominated transport. In what follows, we generically refer to the outcome of such efforts as ?enhanced finite elements?. Included among them are: the discontinuous enrichment method, Trefftz methods, collocation, discontinuous Galerkin, matrix condensation, some aspects of domain decomposition methods (DDM), and the author?s finite element method with optimal functions (FEM-OF). This chapter is devoted to presentation of a unifying theory which supplies a suitable framework for many of them. Some of the most conspicuous contributors to enhanced finite elements are listed in the references [1-18]. © 2008 by Taylor & Francis Group, LLC.


Entidades citadas de la UNAM: