A nonconforming covolume method for elliptic problems
DOI10.1016/j.amc.2007.05.036zbMath1153.65109OpenAlexW1988391810MaRDI QIDQ2474857
Y. K. Hyon, Ho-Jong Jang, Do Young Kwak
Publication date: 6 March 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.05.036
error estimatesnumerical examplesoptimal order of convergencesecond order elliptic equationnonconforming finite elementscontrol volume methodduality argumentsrotated bilinear finite element method
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Local Refinement Techniques for Elliptic Problems on Cell-Centered Grids I. Error Analysis
- Error estimate inL2 of a covolume method for the generalized Stokes problem
- On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
- Direct Discretization of Planar Div-Curl Problems
- Simple nonconforming quadrilateral Stokes element
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem
- Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
- Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-Diffusion Problems
- Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems
- Mixed Covolume Methods on Rectangular Grids For Elliptic Problems
- Analysis and convergence of a covolume method for the generalized Stokes problem
