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Mimetic finite difference method
The mimetic finite difference (MFD) method mimics fundamental properties of mathematical
and physical systems including conservation laws, symmetry and positivity of solutions …
and physical systems including conservation laws, symmetry and positivity of solutions …
[ספר][B] Mimetic discretization methods
JE Castillo, GF Miranda - 2013 - books.google.com
To help solve physical and engineering problems, mimetic or compatible algebraic
discretization methods employ discrete constructs to mimic the continuous identities and …
discretization methods employ discrete constructs to mimic the continuous identities and …
A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier–Stokes equations
In this work we present a mimetic spectral element discretization for the 2D incompressible
Navier–Stokes equations that in the limit of vanishing dissipation exactly preserves mass …
Navier–Stokes equations that in the limit of vanishing dissipation exactly preserves mass …
Edge functions for spectral element methods
It is common practice in finite element methods to expand the unknowns in nodal functions.
The discretization of the gradient, curl and divergence operators requires H 1, H (curl) and H …
The discretization of the gradient, curl and divergence operators requires H 1, H (curl) and H …
Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms
This paper introduces the basic concepts for physics-compatible discretization techniques.
The paper gives a clear distinction between vectors and forms. Based on the difference …
The paper gives a clear distinction between vectors and forms. Based on the difference …
Mimetic framework on curvilinear quadrilaterals of arbitrary order
In this paper higher order mimetic discretizations are introduced which are firmly rooted in
the geometry in which the variables are defined. The paper shows how basic constructs in …
the geometry in which the variables are defined. The paper shows how basic constructs in …
High order geometric methods with exact conservation properties
Conservation laws in, for example, electromagnetism, solid and fluid mechanics, allow an
exact discrete representation in terms of line, surface and volume integrals. In this paper, we …
exact discrete representation in terms of line, surface and volume integrals. In this paper, we …
Mixed mimetic spectral element method for Stokes flow: A pointwise divergence-free solution
In this paper we apply the recently developed mimetic discretization method to the mixed
formulation of the Stokes problem in terms of vorticity, velocity and pressure. The mimetic …
formulation of the Stokes problem in terms of vorticity, velocity and pressure. The mimetic …
An introduction to a compatible spectral discretization method
In this paper I try to explain what one means when one refers to'compatible'or'mimetic'
discretization methods. I will show why this approach is so appealing from a computational …
discretization methods. I will show why this approach is so appealing from a computational …
A discrete vector calculus in tensor grids
Mimetic discretization methods for the numerical solution of continuum mechanics problems
directly use vector calculus and differential forms identities for their derivation and analysis …
directly use vector calculus and differential forms identities for their derivation and analysis …