A software framework for mixed finite element programming

Abstract

Many code developers think the implementation of mixed finite elements on general unstructured meshes is challenging. This assertion is reflected in the many efforts on constructing stabilized finite element methods (e.g. for flow problems), where standard elements can be used, and the fact that there are very few libraries offering a mixed finite element programming environment. In this paper we described a software framework for mixed finite element programming, which makes the use of mixed methods as easy as standard finite element methods. The various abstractions used in this framework will be explained. The tools are made available in the generic Diffpack software. © Springer-Verlag 2002.