Results 151 to 160 of about 2,292 (165)

A mimetic finite difference discretization for the incompressible Navier–Stokes equations

International Journal for Numerical Methods in Fluids, 2008
AbstractThe results of a mimetic finite difference discretization of the three‐dimensional, incompressible Navier–Stokes equations are compared with more traditional finite difference schemes. The proposed method handles both momentum advection and diffusion in a vorticity‐preserving manner and allows for simple treatment of rigid wall boundary ...
ABBA', ANTONELLA, BONAVENTURA, LUCA
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Linear Systems Arising for Second-Order Mimetic Divergence and Gradient Discretizations

Journal of Mathematical Modelling and Algorithms, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Castillo, Jose E., Yasuda, Mark
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Matrix approach to mimetic discretizations for differential operators on non-uniform grids

Mathematics and Computers in Simulation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Montilla, Orestes, Cadenas, Carlos, Castillo, José   +2 more
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Convergence of mimetic finite difference discretizations of the diffusion equation

Journal of Numerical Mathematics, 2001
The Dirichlet problem on a bounded polygonal convex domain in \(R^2\) is considered for the linear diffusion equation. The authors rewrite the equation in the standard way as a system of two first order equations for which the theory of mixed finite element methods is usually applied.
Berndt, M., Lipnikov, K., Moulton, D., Shashkov, M.   +3 more
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Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems

SIAM Journal on Numerical Analysis, 2013
We present an a posteriori error estimate of hierarchical type for the mimetic discretization of elliptic problems. Under a saturation assumption, the global reliability and efficiency of the proposed a posteriori estimator are proved. Several numerical experiments assess the actual performance of the local error indicators in driving adaptive mesh ...
ANTONIETTI, PAOLA FRANCESCA, L. Beirao da Veiga, C. Lovadina, VERANI, MARCO   +3 more
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A Mimetic Finite Volume Discretization Method for Reservoir Simulation

SPE Journal, 2010
Summary Accurate representation of complex reservoir geology using nonorthogonal meshes, upscaling of high-resolution geostatistical reservoir models including cross-flow effects, and strongly heterogeneous anisotropic permeable media such as cross-bedded sands and thin-bedded turbidite channels all individually or in combination give ...
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A Mimetic Finite-Volume-Discretization Operator for Reservoir Simulation

Proceedings of SPE Reservoir Simulation Symposium, 2007
Abstract Accurate representation of complex reservoir geology using non-orthogonal meshes, upscaling of high-resolution geostatistical reservoir models including cross-flow effects, and strongly heterogeneous anisotropic permeable media such as cross-bedded sands and thin-bedded turbidite channels all individually or in combination give ...
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Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes [PDF]

, 2012
We develop and analyze a new family of mimetic finite difference methods on unstructured polygonal meshes for the diffusion problem in primal form, that use arbitrarily regular discrete spaces. The degrees of freedom are (a) solution and derivative values of various degree at suitable nodes and (b) solution moments inside polygons.
L Beirao Da Veiga, G Manzini
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Mimetic discretizations of arbitrary local order and regularity

2011
The Mimetic Discretization (MD) method is an approach for the approximation of PDE problems that shares common features with the finite element and the finite difference schemes. The MD method enjoys the same variational background of finite elements, but focuses the attention on the degrees of freedom rather than the underlying basis functions.
L. Beirao da Veiga, K. Lipnikov, G. Manzini   +2 more
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Mimetic spectral element method; a discretization of geometry and physics

2013
Aerospace ...
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