Results 11 to 20 of about 13,734 (157)
Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals [PDF]
SIAM Journal on Numerical Analysis, 2005 Summary: Superconvergence of the velocity is established for mimetic finite difference approximations of second-order elliptic problems over \(h^2\)-uniform quadrilateral meshes. The superconvergence holds for a full tensor coefficient. The analysis exploits a relation between mimetic finite differences and mixed finite element methods via a special ...
Berndt, M. +4 more
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Mimetic Finite Difference methods for Hamiltonian wave equations in 2D
Computers & Mathematics with Applications, 2016 In this paper we consider the numerical solution of the Hamiltonian wave equation in two spatial dimension. We use the Mimetic Finite Difference (MFD) method to approximate the continuous problem combined with a symplectic integration in time to ...
da Veiga, Lourenco Beirao +2 more
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Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes [PDF]
SIAM Journal on Numerical Analysis, 2005 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.
Brezzi F, Lipnikov K, Shashkov M
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Spectral properties and conservation laws in Mimetic Finite Difference methods for PDEs
Journal of Computational and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lopez, L, VACCA, GIUSEPPE
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Applied Mathematics and Computation, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Attipoe Sena, David, Tambue, Antoine
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Local flux mimetic finite difference methods [PDF]
Numerische Mathematik, 2008 The authors use a MFPA-type construction to develop new cell-centered discretization methods on polyhedral meshes for diffusion problems with full tensor coefficients. Under a few constructive assumptions they prove first-order convergence for both the velocity and the pressure variables, as well as second-order superconvergence for the pressure ...
Lipnikov, Konstantin +2 more
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Mimetic finite difference methods in image processing [PDF]
Computational & Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bazan, C. +3 more
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A mortar mimetic finite difference method on non-matching grids [PDF]
Numerische Mathematik, 2005 This paper deals with the mimetic finite difference (MFD) method on nonmatching multiblock grids for second-order linear elliptic equation with Dirichlet boundary conditions. The authors establish a relation between the mortar MFD method and mortar mixed finite element methods.
Berndt, Markus +4 more
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The curved mimetic finite difference method: Allowing grids with curved faces
Journal of Computational Physics, 2023 We present a new mimetic finite difference method for diffusion problems that converges on grids with \textit{curved} (i.e., non-planar) faces. Crucially, it gives a symmetric discrete problem that uses only one discrete unknown per curved face. The principle at the core of our construction is to abandon the standard definition of local consistency of ...
Pitassi S. +4 more
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The mimetic finite difference method for the Landau–Lifshitz equation [PDF]
Journal of Computational Physics, 2017 The Landau-Lifshitz equation describes the dynamics of the magnetization inside ferromagnetic materials. This equation is highly nonlinear and has a non-convex constraint (the magnitude of the magnetization is constant) which pose interesting challenges in developing numerical methods.
Kim, Eugenia, Lipnikov, Konstantin
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