A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form
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DOI: 10.1007/s00211-020-01160-w
Abstract: We present a stable discontinuous Galerkin (DG) method with a perfectly matched layer (PML) for three and two space dimensional linear elastodynamics, in velocity-stress formulation, subject to well-posed linear boundary conditions. First, we consider the… read more here.
Keywords: stable discontinuous; energy; discontinuous galerkin; method ... See more keywords
Entropy Stable Discontinuous Galerkin Methods for Nonlinear Conservation Laws on Networks and Multi-Dimensional Domains
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DOI: 10.1007/s10915-021-01464-5
Abstract: We present a high-order entropy stable discontinuous Galerkin method for nonlinear conservation laws on both multi-dimensional domains and on networks constructed from one-dimensional domains. These methods utilize treatments of multi-dimensional interfaces and network junctions which… read more here.
Keywords: stable discontinuous; entropy stable; discontinuous galerkin; multi dimensional ... See more keywords