A discontinuous mixed covolume method for elliptic problems

DOI10.1016/j.cam.2010.10.050zbMath1211.65145OpenAlexW2004611926MaRDI QIDQ629514

Qing Yang, Ziwen Jiang

Publication date: 9 March 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.10.050

zbMATH Keywords

Stokes problemsdiscontinuous Galerkin methoderror estimateelliptic problemmixed covolume method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (6)

A symmetric mixed covolume method for the nonlinear parabolic problem ⋮ A Crank-Nicolson discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem ⋮ Equal order discontinuous finite volume element methods for the Stokes problem ⋮ Convergence Analysis of Discontinuous Finite Volume Methods for Elliptic Optimal Control Problems ⋮ Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation ⋮ Discontinuous mixed covolume methods for linear parabolic integrodifferential problems

Cites Work

• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• A discontinuous \(hp\) finite element method for convection-diffusion problems
• Quantum hydrodynamic simulation of hysteresis in the resonant tunneling diode
• Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• Simple nonconforming quadrilateral Stokes element
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Mixed Covolume Methods for Elliptic Problems on Triangular Grids
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A New Discontinuous Finite Volume Method for Elliptic Problems
• A Discontinuous Finite Volume Method for the Stokes Problems
• Nonconforming Elements in the Finite Element Method with Penalty

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