Adaptive direct discontinuous Galerkin method for elliptic equations (Q2047599)

scientific article; zbMATH DE number 7384074

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English	Adaptive direct discontinuous Galerkin method for elliptic equations	scientific article; zbMATH DE number 7384074

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instance of

scholarly article

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title

Adaptive direct discontinuous Galerkin method for elliptic equations (English)

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20 August 2021

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zbMATH Keywords

direct discontinuous Galerkin

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a posteriori error estimation

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adaptive

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describes a project that uses

FEALPy

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.camwa.2021.06.014

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cites work

A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation

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Fully Computable Error Bounds for Discontinuous Galerkin Finite Element Approximations on Meshes with an Arbitrary Number of Levels of Hanging Nodes

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Finite Element Methods for Elliptic Equations Using Nonconforming Elements

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The Mathematical Theory of Finite Element Methods

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A review of the local discontinuous Galerkin (LDG) method applied to elliptic problems

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On the Efficiency of Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients

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The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case

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TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems

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A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods

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

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The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws

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The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems

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Anisotropic <i>a posteriori</i> error estimation for the mixed discontinuous Galerkin approximation of the Stokes problem

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Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations

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Equilibrated error estimators for discontinuous Galerkin methods

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Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions

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Q3609591

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A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity

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Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow

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Energy norm a posteriori error estimation for discontinuous Galerkin methods.

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Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements

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Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator

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ENERGY NORM <i>A POSTERIORI</i> ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS

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Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

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On the poisson equation with intersecting interfaces

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A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems

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A discontinuous Galerkin method for the Navier-Stokes equations

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A computational study of the weak Galerkin method for second-order elliptic equations

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The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems

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The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

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A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation

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A posteriori error estimators for elliptic equations with discontinuous coefficients

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A posteriori error estimators for nonconforming finite element methods

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A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems

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A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives

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$L^{2}(H^{1})$ norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems

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A posteriori error estimation and adaptive mesh-refinement techniques

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A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations

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A Local Discontinuous Galerkin Method for the Camassa–Holm Equation

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Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

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Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations

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A new nonsymmetric discontinuous Galerkin method for time dependent convection diffusion equations

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A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: energy conservation and boundary effect

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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.2021.06.014

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Sitelinks

Mathematics(1 entry)

mardi Publication:2047599