\(hp\)-version direct discontinuous Galerkin method for elliptic problems

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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Direct discontinuous Galerkin method and its variations for second order elliptic equations
On the suboptimality of the \(p\)-version interior penalty discontinuous Galerkin method
Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes
High order symmetric direct discontinuous Galerkin method for elliptic interface problems with fitted mesh
An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems
Exponential convergence of the \(hp\)-DGFEM for diffusion problems
An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity
Exponential convergence of mixed \(hp\)-DGFEM for Stokes flow in polygons
ℎ𝑝-Optimal discontinuous Galerkin methods for linear elliptic problems
ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS
The Optimal Convergence Rate of the p-Version of the Finite Element Method
An Interior Penalty Finite Element Method with Discontinuous Elements
An Elliptic Collocation-Finite Element Method with Interior Penalties
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
Mixedhp-DGFEM for Incompressible Flows
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections
The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems

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