1,721,066 research outputs found

    The coupling of local discontinuous Galerkin and conforming finite element methods

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    Perugia, Ilaria; Schotzau, Dominik. (2000). The coupling of local discontinuous Galerkin and conforming finite element methods. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3490

    A class of quadrilateral finite elements for the stokes problem

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    AbstractWe consider a class of approximations by rectangular finite elements for the Stokes problem, with polynomial pressure approximation of degree at most k-1 on each rectangle. We will build an optimal velocity approximation (when both computational cost and accuracy are considered), in order to obtain stable elements

    An hp-analysis of the local discontinuous Galerkin method for diffusion problems

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    We present an hphp-analysis of the local discontinuous Galerkin method for diffusion problems, considering unstructured meshes with hanging nodes and two- and three-dimensional domains. Our estimates are optimal in the meshsize hh and slightly suboptimal in the polynomial approximation order pp.Perugia, Ilaria; Schotzau, Dominik. (2001). An hp-analysis of the local discontinuous Galerkin method for diffusion problems. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3653
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