A subcell-enriched Galerkin method for advection problems (Q2027579)

scientific article; zbMATH DE number 7351715

Language	Label	Description	Also known as
English	A subcell-enriched Galerkin method for advection problems	scientific article; zbMATH DE number 7351715

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instance of

scholarly article

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title

A subcell-enriched Galerkin method for advection problems (English)

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27 May 2021

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full work available at URL

https://arxiv.org/abs/2006.09041

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zbMATH Keywords

enriched Galerkin method

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discontinuous Galerkin method

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arbitrary order finite elements

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subcell enrichment

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advection equation

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hyperbolic equation

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describes a project that uses

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Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods

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A multiscale finite element method for elliptic problems in composite materials and porous media

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A locally conservative enriched Galerkin approximation and efficient solver for elliptic and parabolic problems

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A Locally Conservative Finite Element Method Based on Piecewise Constant Enrichment of the Continuous Galerkin Method

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Optimal error estimate of elliptic problems with Dirac sources for discontinuous and enriched Galerkin methods

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Phase-Field Modeling of Two Phase Fluid Filled Fractures in a Poroelastic Medium

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Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization

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Enriched Galerkin methods for two-phase flow in porous media with capillary pressure

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Enriched Galerkin finite elements for coupled poromechanics with local mass conservation

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Continuous Galerkin and enriched Galerkin methods with arbitrary order discontinuous trial functions for the elliptic and parabolic problems with jump conditions

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An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

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Locally bound-preserving enriched Galerkin methods for the linear advection equation

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Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems

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Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn-Hilliard equation

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Matrix-free subcell residual distribution for Bernstein finite elements: monolithic limiting

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Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations

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Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws

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A partition of unity approach to adaptivity and limiting in continuous finite element methods

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\textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws

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A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes

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A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

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Mathematical aspects of discontinuous Galerkin methods.

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Theory and practice of finite elements.

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Q4497728

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FESTUNG: A~MATLAB/GNU~Octave~toolbox for the discontinuous Galerkin method. I: Diffusion operator

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FESTUNG: a MATLAB/GNU octave toolbox for the discontinuous Galerkin method. II: Advection operator and slope limiting

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FESTUNG: a MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. III: Hybridized discontinuous Galerkin (HDG) formulation

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FESTUNG 1.0: overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods

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Enriched Galerkin method for the shallow-water equations

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TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework

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On Runge-Kutta processes of high order

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High resolution schemes for conservation laws with locally varying time steps

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An efficient local time-stepping scheme for solution of nonlinear conservation laws

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Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws

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An efficient parallel implementation of explicit multirate Runge-Kutta schemes for discontinuous Galerkin computations

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A self adjusting multirate algorithm for robust time discretization of partial differential equations

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Coupled Multirate Infinitesimal GARK Schemes for Stiff Systems with Multiple Time Scales

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High-Resolution Conservative Algorithms for Advection in Incompressible Flow

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published in

Computers & Mathematics with Applications

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CAMWA.2021.04.010

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Sitelinks

Mathematics(1 entry)

mardi Publication:2027579