Results 141 to 150 of about 2,292 (165)

Mimetic Discretizations for Maxwell's Equations

Journal of Computational Physics, 1999
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Hyman, James M., Shashkov, Mikhail
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Mimetic Discretizations of Elliptic Control Problems

Journal of Scientific Computing, 2012
The authors consider the following optimal control problem \[ \min_{u\in K} \Biggl\{{1\over 2}\Biggl\| y-\overline y\Biggr\|^2_{L^2(\Omega)}+ {1\over 2}\Biggl\| F-\overline F\Biggr\|^2_{L^2(\Omega)}+ {\alpha\over 2}\Biggl\| u-\overline u\Biggr\|^2_{L^2(\Omega)}\Biggr\}, \] \[ \begin{aligned} F=-\nabla y\quad &\text{in }\Omega,\\ \text{div}(F)= f+ u ...
ANTONIETTI, PAOLA FRANCESCA, BIGONI, NADIA, VERANI, MARCO   +2 more
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Mimetic scalar products of discrete differential forms

Journal of Computational Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F Brezzi, A Buffa, G Manzini
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Mimetic discretization of two-dimensional Darcy convection

Computer Physics Communications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karasözen, B., Tsybulin, V. G.
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Mimetic discretization of bilinear forms

2014
In the previous chapter we described the mimetic inner products that are low-order approximations of classical L 2 products of continuum functions u and v: $${[{u_{h,P}},{v_{h,P}}]_{{S_h},P}} = \int\limits_P {uvdV + O({h_P})|P|,} $$ where u h ,P3,v h ,P are discrete mesh functions from a space S h: $${u_{h,\operatorname{P} }} = \Pi _{h ...
Lourenço Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini   +2 more
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Mimetic discretization of two-dimensional magnetic diffusion equations

Journal of Computational Physics, 2013
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Lipnikov, Konstantin, Reynolds, James, Nelson, Eric   +2 more
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Mimetic discretization of the Eikonal equation with Soner boundary conditions

Applied Mathematics and Computation, 2018
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Miguel A. Dumett, Jorge E. Ospino
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Principles of Mimetic Discretizations of Differential Operators

2007
Compatible discretizations transform partial differential equations to discrete algebraic problems that mimic fundamental properties of the continuum equations. We provide a common framework for mimetic discretizations using algebraic topology to guide our analysis. The framework and all attendant discrete structures are put together by using two basic
Pavel B. Bochev, James M. Hyman
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Conservative polytopal mimetic discretization of the incompressible Navier–Stokes equations

Journal of Computational and Applied Mathematics, 2018
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R. Beltman, M.J.H. Anthonissen, B. Koren
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A Mimetic Discretization of the Stokes Problem with Selected Edge Bubbles

SIAM Journal on Scientific Computing, 2010
A new mimetic finite difference method for the Stokes problem is proposed and analyzed. The mimetic discretization methodology can be understood as a generalization of the finite element method to meshes with general polygons/polyhedrons. In this paper, the mimetic generalization of the unstable $P_1-P_0$ (and the “conditionally stable” $Q1-P0$) finite
BEIRAO DA VEIGA, LOURENCO, Lipnikov, K.
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