An Efficient Postprocessor for Velocities from Mixed Methods on Triangular Elements
Keenan, Philip T.
Certain finite difference methods on rectangular grids for second order elliptic equations are known to yield superconvergent flux approximations. A class of related finite difference methods have recently been defined for triangular meshes by applying special quadrature rules to an extended version of a mixed finite element method ; the flux vector fields from these methods are not superconvergent. This report presents empirical evidence indicating that a simple local postprocessing technique recovers higher order accurate vector velocities at element centers on many meshes of triangular elements, with approximately second order accuracy on three lines meshes.
Citable link to this pagehttps://hdl.handle.net/1911/101837
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- CAAM Technical Reports