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Convergence of a Mimetic Finite Difference Method for Static Diffusion Equation [PDF]
Advances in Difference Equations, 2007 The numerical solution of partial differential equations with finite differences mimetic methods that satisfy properties of the continuum differential operators and mimic discrete versions of appropriate integral identities is more likely to produce ...
Rojas S +3 more
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A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods [PDF]
Mathematical Models and Methods in Applied Sciences, 2008 We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids.
Eymard R. +4 more
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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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A Two-Level Method for Mimetic Finite Difference Discretizations of Elliptic Problems [PDF]
Computers & Mathematics with Applications, 2014 We propose and analyze a two-level method for mimetic finite difference approximations of second order elliptic boundary value problems. We prove that the two-level algorithm is uniformly convergent, i.e., the number of iterations needed to achieve ...
Antonietti, Paola F. +2 more
core +6 more sources
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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Results in Applied Mathematics, 2022 The Black–Scholes differential operator which underlies the option pricing of European and American options is known to be degenerate close to the boundary at zero.
David Sena Attipoe, Antoine Tambue
doaj +1 more source
Physics-Capturing Discretizations for Spectral Wind-Wave Models
Fluids, 2021 This paper discusses the discretization methods that have been commonly employed to solve the wave action balance equation, and that have gained a renewed interest with the widespread use of unstructured grids for third-generation spectral wind-wave ...
Marcel Zijlema
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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 mimetic finite difference method using Crank-Nicolson scheme for unsteady diffusion equation
Revista de Matemática: Teoría y Aplicaciones, 2010 n this article a new mimetic finite difference method to solve unsteady diffusion equation is presented. It uses Crank-Nicolson scheme to obtain time approximations and second order mimetic discretizations for gradient and divergence operators in space ...
Iliana A. Mannarino
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