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A self contained presentation of the mathematical theory of mixed FEM
Applications to elliptic problems, elasticity, electromagnetism, Stokes' problem
An augmented version of a classical book
Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, plate problems, elasticity and electromagnetism.
Content Level »Research
Keywords »Stokes' problem - elliptic problems - finite element - linear elasticity - mixed hybrid