A note on the design of hp-version interior penalty discontinuous Galerkin finite element methods for degenerate problems

A note on the design of hp-version interior penalty discontinuous Galerkin finite element methods for degenerate problems

We consider a variant of the hp-version interior penalty discontinuous Galerkin finite element method (IP-DGFEM) for second order problems of degenerate type. We do not assume uniform ellipticity of the diffusion tensor. Moreover, diffusion tensors or arbitrary form are covered in the theory present...

Bibliografiset tiedot
Päätekijät:	Georgoulis, E, Lasis, A
Aineistotyyppi:	Report
Julkaistu:	Unspecified 2005

Samankaltaisia teoksia

Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method
Tekijä: Georgoulis, E, et al.
Julkaistu: (2005)

Optimal Error Estimates for the hp–Version Interior Penalty Discontinuous Galerkin Finite Element Method
Tekijä: Georgoulis, E, et al.
Julkaistu: (2003)

hp-Version discontinuous Galerkin finite element methods for semilinear parabolic problems
Tekijä: Lasis, A, et al.
Julkaistu: (2003)

hp-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems.
Tekijä: Lasis, A, et al.
Julkaistu: (2007)

hp -Version a priori Error Analysis of Interior Penalty Discontinuous Galerkin Finite Element Approximations to the Biharmonic Equation.
Tekijä: Mozolevski, I, et al.
Julkaistu: (2007)

hp-Version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form.
Tekijä: Harriman, K, et al.
Julkaistu: (2002)

hp−Version Discontinuous Galerkin Methods with Interior Penalty for Partial Differential Equations with Nonnegative Characteristic Form
Tekijä: Harriman, K, et al.
Julkaistu: (2003)

hp−Version Discontinuous Galerkin Methods with Interior Penalty for Partial Differential Equations with Nonnegative Characteristic Form
Tekijä: Harriman, K, et al.
Julkaistu: (2002)

One-parameter discontinuous Galerkin finite element discretisation of quasilinear parabolic problems
Tekijä: Lasis, A, et al.
Julkaistu: (2004)

hp-discontinuous Galerkin finite element methods for hyperbolic problems: error analysis and adaptivity
Tekijä: Houston, P, et al.
Julkaistu: (2002)

hp-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems
Tekijä: Houston, P, et al.
Julkaistu: (2002)

hp-Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems: Error Analysis and Adaptivity
Tekijä: Suli, E, et al.
Julkaistu: (2001)

hp-Adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems
Tekijä: Houston, P, et al.
Julkaistu: (2001)

hp-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems
Tekijä: Houston, P, et al.
Julkaistu: (2001)

hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization.
Tekijä: Houston, P, et al.
Julkaistu: (2002)

Discrete maximum principle for interior penalty discontinuous Galerkin methods
Tekijä: Horváth Tamás, et al.
Julkaistu: (2013-04-01)

A-posteriori error analysis of hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic problems
Tekijä: Houston, P, et al.
Julkaistu: (2006)

Approximation of Linear Functionals Using an hp−Adaptive Discontinuous Galerkin Finite Element Method
Tekijä: Harriman, K, et al.
Julkaistu: (2004)

Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method
Tekijä: Harriman, K, et al.
Julkaistu: (2004)

hp-version interior penalty DGFEMs for the biharmonic equation
Tekijä: Suli, E, et al.
Julkaistu: (2007)

hp-version interior penalty DGFEMs for the biharmonic equation
Tekijä: Mozolevski, I, et al.
Julkaistu: (2004)

Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation
Tekijä: Jian Li, et al.
Julkaistu: (2024-05-01)

Symmetric interior penalty discontinuous Galerkin discretisations and block preconditioning for heterogeneous Stokes flow
Tekijä: Charrier, D, et al.
Julkaistu: (2017)

A posteriori error analysis of hp-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs
Tekijä: Houston, P, et al.
Julkaistu: (2008)

Discontinuous hp-Finite Element Methods for Advection-Diffusion Problems
Tekijä: Houston, P, et al.
Julkaistu: (2000)

The hp version of Eulerian-Lagrangian mixed discontinuous finite element methods for advection-diffusion problems
Tekijä: Hongsen Chen, et al.
Julkaistu: (2003-01-01)

High-Precision Flow Field Simulation of Aerostatic Bearings Based on the Interior Penalty Discontinuous Galerkin Method
Tekijä: Weijie Hou, et al.
Julkaistu: (2022-12-01)

Discontinuous hp-finite element methods for advection-diffusion-reaction problems
Tekijä: Houston, P, et al.
Julkaistu: (2002)

Stabilization Mechanisms in Discontinuous Galerkin Finite Element Methods
Tekijä: Brezzi, F, et al.
Julkaistu: (2004)

Stabilization mechanisms in discontinuous Galerkin finite element methods
Tekijä: Brezzi, F, et al.
Julkaistu: (2006)

A weighted Nitsche discontinuous Galerkin finite element method for plane problems
Tekijä: Xiaowei DENG, et al.
Julkaistu: (2018-12-01)

An hp-Local Discontinuous Galerkin method for Parabolic Integro-Differential Equations
Tekijä: Pani, A, et al.
Julkaistu: (2009)

Analysis of the Element-Free Galerkin Method with Penalty for Stokes Problems
Tekijä: Tao Zhang, et al.
Julkaistu: (2022-08-01)

A High-Order Symmetric Interior Penalty Discontinuous Galerkin Scheme to Simulate Vortex Dominated Incompressible Fluid Flow
Tekijä: Lunji Song, et al.
Julkaistu: (2016-04-01)

Discontinuous Galerkin finite element approximation of the Cahn–Hilliard equation with convection
Tekijä: Kay, D, et al.
Julkaistu: (2009)

Discontinuous Galerkin Finite Element Approximation of the Cahn-Hilliard Equation with Convection.
Tekijä: Kay, D, et al.
Julkaistu: (2009)

Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows
Tekijä: Houston, P, et al.
Julkaistu: (2001)

A discontinuous Galerkin finite element method for multiphase viscous flow
Tekijä: Whiteley, J
Julkaistu: (2015)

Discontinuous Galerkin Finite Element Methods for Incompressible Non−linear Elasticity
Tekijä: Whiteley, J
Julkaistu: (2009)

Discontinuous Galerkin finite element methods for incompressible non-linear elasticity
Tekijä: Whiteley, J
Julkaistu: (2009)