Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes 论文
2005SIAM Journal on Numerical Analysis引用 361
Differential Equations and Numerical MethodsAdvanced Numerical Methods in Computational MathematicsAdvanced Mathematical Modeling in Engineering
摘要
The stability and convergence properties of the mimetic finite difference method for diffusion-type problems on polyhedral meshes are analyzed. The optimal convergence rates for the scalar and vector variables in the mixed formulation of the problem are proved.