Results 11 to 20 of about 231,568 (186)
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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The Mimetic Methods Toolkit: An object-oriented API for Mimetic Finite Differences
Journal of Computational and Applied Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. Sanchez, C. Paolini, J. Castillo
semanticscholar +3 more sources
Mimetic finite differences for elliptic problems [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2009 In multi-physics codes used adaptive mesh refinement techniques and other special requirements for the solution of partial differential equations results in polyhedral meshes with possible degenerate elements. In comparison to other grids polyhedral meshes can improve the adaption of the grid to special requirements of the numerical solution and can ...
F. Brezzi, A. Buffa, K. Lipnikov
semanticscholar +4 more sources
Mimetic finite differences for nonlinear and control problems
Mathematical Models and Methods in Applied Sciences, 2014 In this paper we review some recent applications of the mimetic finite difference method to nonlinear problems (variational inequalities and quasilinear elliptic equations) and optimal control problems governed by linear elliptic partial differential equations. Several numerical examples show the effectiveness of mimetic finite differences in building
P. Antonietti +3 more
semanticscholar +5 more sources
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 Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations [PDF]
SIAM Journal on Scientific Computing, 2021 Maxwell's equations are a system of partial differential equations that govern the laws of electromagnetic induction. We study a mimetic finite-difference (MFD) discretization of the equations which preserves important underlying physical properties.
James H. Adler +3 more
openaire +3 more sources
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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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 ...
M. Berndt +4 more
semanticscholar +3 more sources
A finite element framework for some mimetic finite difference discretizations
Computers & Mathematics with Applications, 2015 submitted
Rodrigo, Carmen +3 more
openaire +3 more sources