Solvability of the fractional Volterra‐Fredholm integro differential equation by hybridizable discontinuous Galerkin method
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DOI: 10.1002/mma.5821
Abstract: This article proves the existence and uniqueness of the solution obtained by the hybridizable discontinuous Galerkin (HDG) method of the fractional Volterra‐Fredholm integro differential equation. The method based on local solvers and transmission condition is… read more here.
Keywords: discontinuous galerkin; volterra fredholm; method; equation ... See more keywords
A Comparison of the Explicit and Implicit Hybridizable Discontinuous Galerkin Methods for Nonlinear Shallow Water Equations
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DOI: 10.1007/s10915-019-01007-z
Abstract: An explicit implementation of the hybridizable discontinuous Galerkin (HDG) method for solving the nonlinear shallow water equations is presented. We follow the common construction of the implicit HDG for nonlinear conservation laws, and then explain… read more here.
Keywords: nonlinear shallow; hybridizable discontinuous; discontinuous galerkin; water equations ... See more keywords