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On generalized Gauss-Radau projections and optimal error estimates of upwind-biased DG methods for the linear advection equation on special simplex meshes - MaRDI portal

On generalized Gauss-Radau projections and optimal error estimates of upwind-biased DG methods for the linear advection equation on special simplex meshes (Q6101545)

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scientific article; zbMATH DE number 7698855

Language	Label	Description	Also known as
English	On generalized Gauss-Radau projections and optimal error estimates of upwind-biased DG methods for the linear advection equation on special simplex meshes	scientific article; zbMATH DE number 7698855

Statements

scholarly article

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On generalized Gauss-Radau projections and optimal error estimates of upwind-biased DG methods for the linear advection equation on special simplex meshes (English)

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Journal of Scientific Computing

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publication date

20 June 2023

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zbMATH Keywords

discontinuous Galerkin methods

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generalized Gauss-Radau projections

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upwind-biased fluxes

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optimal error estimates

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global projections

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MaRDI profile type

MaRDI publication profile

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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

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Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation

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On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions

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Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems

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$L^2$ stable discontinuous Galerkin methods for one-dimensional two-way wave equations

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Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations

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Local analysis of the local discontinuous Galerkin method with generalized alternating numerical flux for one-dimensional singularly perturbed problem

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Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes

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A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems

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Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity

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A projection-based error analysis of HDG methods

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Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids

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Runge--Kutta discontinuous Galerkin methods for convection-dominated problems

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Optimally convergent HDG method for third-order Korteweg-de Vries type equations

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Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems

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Discontinuous Galerkin methods with optimal \(L^2\) accuracy for one dimensional linear PDEs with high order spatial derivatives

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Analysis of discontinuous Galerkin methods with upwind-biased fluxes for one dimensional linear hyperbolic equations with degenerate variable coefficients

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Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations

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Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax--Friedrichs Numerical Fluxes

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Optimal error estimates of the discontinuous Galerkin method with upwind-biased fluxes for 2D linear variable coefficients hyperbolic equations

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Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations

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Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using <i>P</i><sup><i>k</i></sup> elements

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Sub-Optimal Convergence of Discontinuous Galerkin Methods with Central Fluxes for Linear Hyperbolic Equations with Even Degree Polynomial Approximations

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Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

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A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

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NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules

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Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise

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Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise

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Stability of the fourth order Runge-Kutta method for time-dependent partial differential equations

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Strong Stability of Explicit Runge--Kutta Time Discretizations

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Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes

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Implicit-explicit local discontinuous Galerkin methods with generalized alternating numerical fluxes for convection-diffusion problems

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Error Estimate of the Fourth-Order Runge--Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations

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The L$^2$-norm Stability Analysis of Runge--Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations

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Local error estimates for Runge-Kutta discontinuous Galerkin methods with upwind-biased numerical fluxes for a linear hyperbolic equation in one-dimension with discontinuous initial data

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A local discontinuous Galerkin method with generalized alternating fluxes for 2D nonlinear Schrödinger equations

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Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems

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Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws

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Local discontinuous Galerkin methods with generalized alternating numerical fluxes for two-dimensional linear Sobolev equation

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Identifiers

zbMATH Open document ID

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10.1007/s10915-023-02166-w

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6101545

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