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Discontinuous Galerkin Element Method

High order non-conforming multi-element Discontinuous Galerkin method for time domain electromagnetics

High order non-conforming multi-element Discontinuous Galerkin method for time domain electromagnetics

... Domain) method [24]. In the FDTD method, the whole computational do- main is discretized using a structured (Cartesian) ...the method when complicated geometrical ob- jects come into ...

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A scalable 3D fracture and fragmentation algorithm based on a hybrid, discontinuous Galerkin, Cohesive Element Method

A scalable 3D fracture and fragmentation algorithm based on a hybrid, discontinuous Galerkin, Cohesive Element Method

... new method based on a discontinuous Galerkin (DG) reformulation of the continuum problem following ( 34 ; 35 ...The method was applied to simulate mode I crack growth under impact loading and ...

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An a posteriori error control framework for adaptive precision optimization using discontinuous Galerkin finite element method

An a posteriori error control framework for adaptive precision optimization using discontinuous Galerkin finite element method

... Although the use of error estimates is becoming prevalent in simulations and local error indicators have been applied to construct sequence of approximating meshes in[r] ...

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Shape sensitivity analysis in aerodynamics using an isogeometric Discontinuous Galerkin method

Shape sensitivity analysis in aerodynamics using an isogeometric Discontinuous Galerkin method

... (f ? · n) P k,j dΓ j . (11) The left-hand side is the temporal term multiplied by the so-called mass matrix, whereas the right- hand side corresponds to the volumic and surfacic integrals. The last term exhibits a ...

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A hybridized discontinuous Galerkin method for 3d time-harmonic Maxwell's equations

A hybridized discontinuous Galerkin method for 3d time-harmonic Maxwell's equations

... INTRODUCTION Discontinuous Galerkin (DG) methods are currently widespread for the discretization of time-transient Maxwell’s equations [1, ...finite element method and this aspect is ...the ...

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Methods for solving discontinuous-Galerkin finite element equations with application to neutron transport

Methods for solving discontinuous-Galerkin finite element equations with application to neutron transport

... effective method for certain extreme geometries, such as pebble bed reactors which comprise a large number of tennis ball- sized ‘pebbles’ each containing thousands of micro-fuel ...

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A hybridizable discontinuous Galerkin method for solving nonlocal optical response models

A hybridizable discontinuous Galerkin method for solving nonlocal optical response models

... HDG method to solve the nonlocal hydrodynamic Drude model and the GNOR model, both of which are often employed to describe light-matter interactions of ...solved element-by-element once the hybrid ...

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CAD-consistent adaptive refinement using a NURBS-based Discontinuous Galerkin method

CAD-consistent adaptive refinement using a NURBS-based Discontinuous Galerkin method

... 3.2 Local refinement In the original isogeometric analysis paradigm proposed by T. Hughes, local refinement necessitated to introduce sophisticated approaches to avoid the propagation of refinement due to the underlying ...

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A NURBS-based Discontinuous Galerkin method for CAD compliant flow simulations

A NURBS-based Discontinuous Galerkin method for CAD compliant flow simulations

... In order to match exactly a boundary defined by a NURBS curve, a straightforward appproach consists in choosing a rational Bézier patch as element Ω j . Indeed, any NURBS curve can be splitted in a set of rational ...

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A hybridizable discontinuous Galerkin method for solving nonlocal optical response models

A hybridizable discontinuous Galerkin method for solving nonlocal optical response models

... DG method is seldomly employed for solving stationary problems, because it duplicates degrees of freedom (DOFs) on every internal ...finite element methods for the same ...

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An implicit hybridized discontinuous Galerkin method for time-domain Maxwell's equations

An implicit hybridized discontinuous Galerkin method for time-domain Maxwell's equations

... Abstract: Discontinuous Galerkin (DG) methods have been the subject of numerous research activities in the last 15 years and have been successfully developed for various physical contexts modeled by ...

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Optimized Schwarz method for solving time-harmonic Maxwell's equations discretized by a discontinuous Galerkin method

Optimized Schwarz method for solving time-harmonic Maxwell's equations discretized by a discontinuous Galerkin method

... Terms—Discontinuous Galerkin methods, domain decomposition methods, optimized interface ...ISCONTINUOUS Galerkin (DG) methods are emerging for the solution of time-harmonic Maxwell’s equations [1] ...

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An explicit hybridizable discontinuous Galerkin method for the 3D time-domain Maxwell equations

An explicit hybridizable discontinuous Galerkin method for the 3D time-domain Maxwell equations

... bridizable discontinuous Galerkin (HDG) method. The HDG method has been first introduced by Cockbrun et ...HDG method are a local Galerkin projection of the under- lying system ...

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Improving accuracy of high-order discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains

Improving accuracy of high-order discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains

... on element with curved faces and it is based on three ingredients: (a) a quadratic rep- resentation of the curved boundary, (b) a geometric adaptation of the location of nodal points inside the curved elements, ...

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A hybrid discontinuous Galerkin method for tokamak edge plasma simulations in global realistic geometry

A hybrid discontinuous Galerkin method for tokamak edge plasma simulations in global realistic geometry

... this method also allows to accurately discretize any realistic tokamak chamber as well as any magnetic ...The method, based on a mesh not aligned with the magnetic field lines, has been challenged by ...

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ANALYSIS OF A DISCONTINUOUS GALERKIN METHOD FOR ELASTODYNAMIC EQUATIONS. APPLICATION TO 3D WAVE PROPAGATION.

ANALYSIS OF A DISCONTINUOUS GALERKIN METHOD FOR ELASTODYNAMIC EQUATIONS. APPLICATION TO 3D WAVE PROPAGATION.

... DG method which is a finite element method allowing discontinuities at the interfaces introduced via numerical fluxes as for finite ...Our method is based on centered fluxes and a leap-frog ...

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Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations

Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations

... (FDTD) method based on Yee’s scheme [24] is very often recognized as the most prominent method among physicists and engineers for the numerical resolution of time-domain Maxwell equations modeling ...

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Hybridizable discontinuous Galerkin method for the two-dimensional frequency-domain elastic wave equations

Hybridizable discontinuous Galerkin method for the two-dimensional frequency-domain elastic wave equations

... IPDG method (see ...IPDG method: it requires at least 3 times less memory and 3 times less computational ...the element-wise ...the element-wise ...HDG method for isotropic and ...

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The Discontinuous Galerkin Material Point Method : Application to hyperbolic problems in solid mechanics

The Discontinuous Galerkin Material Point Method : Application to hyperbolic problems in solid mechanics

... The discontinuous Galerkin approximation The DG approximation was first introduced in the context of the finite element method for the solution of the neutron transport equation ...finite ...

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A semi-Lagrangian discontinuous Galerkin convergence

A semi-Lagrangian discontinuous Galerkin convergence

... finite element methods for hyperbolic equations, Mathematics of Computation 72 (2003), ...Vecil, Discontinuous Galerkin Semi-Lagrangian Method for Vlasov-Poisson, CEMRACS’10 research ...

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