Results 111 to 120 of about 11,076,576 (211)
A mixed discontinuous/continuous finite element pair for shallow-water ocean modelling [PDF]
, 2008 18.02.14 KB. Ok to add accepted version to spiral, Elsevier says ok while mandate not enforced.We introduce a mixed discontinuous/continuous finite element pair for ocean modelling, with continuous quadratic layer thickness and discontinuous velocity. We
Cotter, CJ +5 more
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Computer Assisted Methods in Engineering and Science, 2017 This paper deals with hp-type adaptation in the discontinuous Galerkin (DG) method. The DG method is formulated in this paper with a non-zero mesh skeleton width, which leads to a version of the method called in this paper the interface discontinuous ...
Jan Jaśkowiec
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High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling [PDF]
, 2014 Copyright @ 2014 The Authors. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.We revisit a method ...
Mark P Brewin +19 more
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A discontinuous Galerkin method with fractal elements
CoRRWe formulate, analyse, and implement a discontinuous Galerkin finite element method (DG-FEM) for the approximation of the solution of an elliptic boundary value problem in a domain with fractal boundary. We consider the case of the Poisson equation in the Koch snowflake domain with zero Dirichlet boundary conditions, but our methodology can be ...
Sergio Gómez 0001 +2 more
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Discontinuous Galerkin Methods for the Vlasov–Stokes System
Computational Methods in Applied MathematicsAbstract This paper develops and analyses a semi-discrete numerical method for the two-dimensional Vlasov–Stokes system with periodic boundary condition. The method is based on the coupling of the semi-discrete discontinuous Galerkin method for the Vlasov equation with discontinuous Galerkin scheme for the stationary incompressible ...
Harsha Hutridurga +2 more
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Discontinuous Galerkin Methods for 3D–1D Systems
SIAM Journal on Numerical AnalysisWe propose and analyze discontinuous Galerkin (dG) approximations to 3D-1D coupled systems which model diffusion in a 3D domain containing a small inclusion reduced to its 1D centerline. Convergence to weak solutions of a steady state problem is established via deriving a posteriori error estimates and bounds on residuals defined with suitable lift ...
Rami Masri +2 more
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SoftwareXThis paper introduces the DGFS-BE solver, an open-source Discontinuous Galerkin Fast Spectral solver designed to address the complexities of the Boltzmann equation, a fundamental equation in kinetic theory.
Evgeniia Vorozhbit +4 more
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Hybridized discontinuous Galerkin method with lifting operator
JSIAM Letters, 2010 In this paper, we propose a new hybridized discontinuous Galerkin method for the Poisson equation with homogeneous Dirichlet boundary condition. Our method has the advantage that the stability is better than the previous hybridized method. We derive $L^2$ and $H^1$ error estimates of optimal order.
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Superconvergence of the local discontinuous Galerkin method for nonlinear convection-diffusion problems. [PDF]
J Inequal Appl, 2017 Bi H, Qian C.
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Discontinuous Galerkin Computation of the Maxwell Eigenvalues on Simplicial Meshes [PDF]
, 2005 This paper is concerned with the discontinuous Galerkin approximation of the Maxwell eigenproblem. After reviewing the theory developed in [5], we present a set of numerical experiments which both validate the theory, and provide further insight ...
Buffa, Annalisa +2 more
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