Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
Journal of Computational Physics
A local support-operators diffusion discretization scheme for quadrilateral r-z meshes
Journal of Computational Physics
A tensor artificial viscosity using a mimetic finite difference algorithm
Journal of Computational Physics
Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes
Journal of Computational Physics
Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals
SIAM Journal on Numerical Analysis
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
SIAM Journal on Numerical Analysis
A mixed finite volume scheme for anisotropic diffusion problems on any grid
Numerische Mathematik
A residual based error estimator for the Mimetic Finite Difference method
Numerische Mathematik
A multilevel multiscale mimetic (M3) method for two-phase flows in porous media
Journal of Computational Physics
High-order mimetic finite difference method for diffusion problems on polygonal meshes
Journal of Computational Physics
A Higher-Order Formulation of the Mimetic Finite Difference Method
SIAM Journal on Scientific Computing
Local flux mimetic finite difference methods
Numerische Mathematik
Mimetic finite difference method for the Stokes problem on polygonal meshes
Journal of Computational Physics
Convergence analysis of the high-order mimetic finite difference method
Numerische Mathematik
Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems
SIAM Journal on Numerical Analysis
The Discrete Duality Finite Volume Method for Convection-diffusion Problems
SIAM Journal on Numerical Analysis
A Mimetic Discretization of the Stokes Problem with Selected Edge Bubbles
SIAM Journal on Scientific Computing
Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes
SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis
Mimetic Discretizations of Elliptic Control Problems
Journal of Scientific Computing
Mimetic finite difference method
Journal of Computational Physics
Mimetic scalar products of discrete differential forms
Journal of Computational Physics
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We present the development, convergence analysis, and numerical tests of the mimetic finite difference method for the Stokes problem on two-dimensional polygonal and three-dimensional polyhedral meshes.