Results 11 to 20 of about 2,292 (165)
Numerical results for mimetic discretization of Reissner-Mindlin plate problems [PDF]
Calcolo, 2012 A low-order mimetic finite difference (MFD) method for Reissner-Mindlin plate problems is considered. Together with the source problem, the free vibration and the buckling problems are investigated.
da Veiga, Lourenco Beirao +2 more
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Isomorphic Structures and Operator Analysis in Mimetic Discretizations
IEEE AccessThis study presents a comprehensive examination of the structural and operatorial foundations within mimetic discretizations, with a focus on bridging the gap between discrete and continuous function spaces.
J. de Curto, I. de Zarza
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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
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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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A mimetic, semi-implicit, forward-in-time, finite volume shallow water model: comparison of hexagonal–icosahedral and cubed-sphere grids [PDF]
Geoscientific Model Development, 2014 A new algorithm is presented for the solution of the shallow water equations on quasi-uniform spherical grids. It combines a mimetic finite volume spatial discretization with a Crank–Nicolson time discretization of fast waves and an accurate and ...
J. Thuburn, C. J. Cotter, T. Dubos
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A mimetic discretization of elliptic obstacle problems [PDF]
Mathematics of Computation, 2013 Summary: We develop a finite element method which can adopt very general meshes with polygonal elements for the numerical approximation of elliptic obstacle problems. These kinds of methods are also known as mimetic discretization schemes, which stem from the mimetic finite difference method.
ANTONIETTI, PAOLA FRANCESCA +2 more
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An Energy Consistent Discretization of the Nonhydrostatic Equations in Primitive Variables
Journal of Advances in Modeling Earth Systems, 2020 We derive a formulation of the nonhydrostatic equations in spherical geometry with a Lorenz staggered vertical discretization. The combination conserves a discrete energy in exact time integration when coupled with a mimetic horizontal discretization ...
Mark A. Taylor +5 more
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High order mimetic difference simulation of unsaturated flow using Richards equation
Mathematics in Applied Sciences and Engineering, 2020 The vadose zone is the portion of the subsurface above the water table and its pore space usually contains air and water. Due to the presence of infiltration, erosion, plant growth, microbiota, contaminant transport, aquifer recharge, and discharge to ...
Angel Boada Velazco +2 more
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A mimetic discretization method for linear elasticity [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2010 Summary: A mimetic discretization method for the linear elasticity problem in mixed weakly symmetric form is developed. The scheme is shown to converge linearly in the mesh size, independently of the incompressibility parameter \(\lambda \), provided the discrete scalar product satisfies two given conditions.
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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
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