The arbitrary order mixed mimetic finite difference method for the diffusion equation

DOI10.1051/m2an/2015088zbMath1342.65202OpenAlexW2398720829MaRDI QIDQ2814661

Gianmarco Manzini, Vitaliy Gyrya, Konstantin N. Lipnikov

Publication date: 22 June 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1304825

zbMATH Keywords

convergencePoisson problemnumerical resultmixed formulationpolygonal meshhigh-order discretizationmimetic finite difference method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (11)

The arbitrary order mimetic finite difference method for a diffusion equation with a non-symmetric diffusion tensor ⋮ Discretization of Mixed Formulations of Elliptic Problems on Polyhedral Meshes ⋮ The fully nonconforming virtual element method for biharmonic problems ⋮ Preface ⋮ A Fully Computable A Posteriori Error Estimate for the Stokes Equations on Polytopal Meshes ⋮ The virtual element method for resistive magnetohydrodynamics ⋮ A high-order discontinuous Galerkin approach to the elasto-acoustic problem ⋮ Tailored finite point method for the approximation of diffusion operators with non-symmetric diffusion tensor ⋮ Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes ⋮ A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes ⋮ The high-order mixed mimetic finite difference method for time-dependent diffusion problems

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