Discretization of Mixed Formulations of Elliptic Problems on Polyhedral Meshes
DOI10.1007/978-3-319-41640-3_10zbMath1357.65233arXiv1610.05850OpenAlexW2529799010MaRDI QIDQ2963096
Gianmarco Manzini, Konstantin N. Lipnikov
Publication date: 10 February 2017
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.05850
Boundary value problems for second-order elliptic equations (35J25) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Finite volume methods for boundary value problems involving PDEs (65N08)
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Cites Work
- Unnamed Item
- Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations
- An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
- The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes
- A mimetic discretization of the Reissner-Mindlin plate bending problem
- Mathematical aspects of discontinuous Galerkin methods.
- Convergence of the mimetic finite difference method for eigenvalue problems in mixed form
- Mimetic finite difference method
- Mimetic scalar products of discrete differential forms
- Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms
- Mimetic finite difference method for the Stokes problem on polygonal meshes
- Flux reconstruction and solution post-processing in mimetic finite difference methods
- A mixed finite volume scheme for anisotropic diffusion problems on any grid
- A multilevel multiscale mimetic (M\(^3\)) method for two-phase flows in porous media
- Local flux mimetic finite difference methods
- A rational finite element basis
- The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
- A discrete operator calculus for finite difference approximations
- Approximation of boundary conditions for mimetic finite-difference methods
- Mimetic discretizations of elliptic control problems
- Hybrid high-order methods for variable-diffusion problems on general meshes
- The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient
- The mimetic finite difference method for elliptic problems
- The arbitrary order mixed mimetic finite difference method for the diffusion equation
- A mimetic discretization of elliptic obstacle problems
- GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS
- Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes
- Basic principles of mixed Virtual Element Methods
- Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
- The Discrete Duality Finite Volume Method for Convection-diffusion Problems
- A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems
- A weak Galerkin mixed finite element method for second order elliptic problems
- Analysis of compatible discrete operator schemes for the Stokes equations on polyhedral meshes
- A mimetic discretization method for linear elasticity
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems
- Mimetic finite differences for elliptic problems
- Convergence of the iterative process for the quasilinear heat transfer equation
- Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
- CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
- Mimetic finite differences for nonlinear and control problems
- Finite volume schemes for diffusion equations: Introduction to and review of modern methods
- New perspectives on polygonal and polyhedral finite element methods
- A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
- Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
- hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
- Conforming polygonal finite elements
- A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
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