Results 121 to 130 of about 8,904 (236)
, 2006 Adjoint consistency - in addition to consistency - is the key requirement for discontinuous Galerkin (DG) discretizations to be of optimal order in L2 as well as measured in terms of target functionals.
Hartmann, Ralf
core
An efficient linear solver for the hybridized discontinuous Galerkin method
, 2016 Discretizing partial differential equations by an implicit solving technique ultimately leads to a linear system of equations that has to be solved. The number of globally coupled unknowns is especially large for discontinuous Galerkin (DG) methods.
Jaust, Alexander +2 more
core +1 more source
, 2009 A discontinuous Galerkin finite element method for an optimal control problem related to semilinear parabolic PDE's is examined. The schemes under consideration are discontinuous in time but conforming in space.
Chrysafinos, K +2 more
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, 2008 Includes bibliographical references (p. [221]-239).An investigation of a model of gradient plasticity in which the classical von Mises yield function is augmented by a term involving the Laplacian of the equivalent plastic strain is presented. The theory
McBride, Andrew Trevor
core
Discontinuous Galerkin methods for hypersonic flows
Progress in Aerospace Sciences34 pages, 25 figures, and 1 ...
Dominique S. Hoskin +5 more
openaire +2 more sources
On discontinuous Galerkin methods
, 2001 Discontinuous Galerkin methods have received considerable attention in recent years for applications to many problems in which convection and diffusion terms are present. Several alternatives for treating the diffusion flux effects have been introduced, as well as, for treatment of the convective flux terms.
Zienkiewicz, OC, Taylor, RL
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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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Error estimation and adjoint-based adaptation in aerodynamics
, 2006 In this article we give an overview of recent developments in error estimation and in residual-based and goal-oriented (adjoint-based) adaptation for Discontinuous Galerkin discretizations of sub- and supersonic viscous compressible flows.
Hartmann, R. (author), Hartmann, Ralf
core
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
doaj +1 more source