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Displaying similar documents to “A stable and optimal complexity solution method for mixed finite element discretizations”

A stable and optimal complexity solution method for mixed finite element discretizations

Jan Brandts, Rob Stevenson (2002)

Mathematica Bohemica

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We outline a solution method for mixed finite element discretizations based on dissecting the problem into three separate steps. The first handles the inhomogeneous constraint, the second solves the flux variable from the homogeneous problem, whereas the third step, adjoint to the first, finally gives the Lagrangian multiplier. We concentrate on aspects involved in the first and third step mainly, and advertise a multi-level method that allows for a stable computation of the intermediate...

Analysis of a non-standard mixed finite element method with applications to superconvergence

Jan Brandts (2009)

Applications of Mathematics

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We show that a non-standard mixed finite element method proposed by Barrios and Gatica in 2007, is a higher order perturbation of the least-squares mixed finite element method. Therefore, it is also superconvergent whenever the least-squares mixed finite element method is superconvergent. Superconvergence of the latter was earlier investigated by Brandts, Chen and Yang between 2004 and 2006. Since the new method leads to a non-symmetric system matrix, its application seems however more...