Titlebook: Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equati; 2012 John H Barrett Xiaobing Feng,Oh

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,Discontinuous Finite Element Methods for Coupled Surface–Subsurface Flow and Transport Problems,terized by the Navier–Stokes (or Stokes) equations coupled by Darcy equations. In the subsurface, the diffusion coefficient of the transport equation depends on the velocity field in a nonlinear manner. The interior penalty discontinuous Galerkin method is used for the spatial discretization, and th

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0940-6573 survey papers on different aspects of discontinuous GalerkinThe field of discontinuous Galerkin finite element methods has attracted considerable recent attention from scholars in the applied sciences and engineering. This volume brings together scholars working in this area, each representing a par

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A dG Approach to Higher Order ALE Formulations in Time,independent of the arbitrary extension chosen. Our approach is based on the validity of Reynolds’ identity for dG methods which generalize to higher order schemes the geometric conservation law (GCL) condition. Stability, a priori and a posteriori error analyses are briefly discussed and illustrated by insightful numerical experiments.

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,Discontinuous Finite Element Methods for Coupled Surface–Subsurface Flow and Transport Problems,e backward Euler technique for the time integration. Convergence of the scheme is theoretically derived. Numerical examples show the robustness of the method for heterogeneous and fractured porous media.

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Leszek F. Demkowicz,Jay Gopalakrishnan anyone who uses decision or evaluation models---for research or for applications---and is willing to question his practice, to have a deeper understanding of what he does..978-1-4419-4053-7978-0-387-31099-2Series ISSN 0884-8289 Series E-ISSN 2214-7934

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