A mimetic method for polygons (Q2123908)

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Language	Label	Description	Also known as
English	A mimetic method for polygons	scientific article

Statements

scholarly article

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A mimetic method for polygons (English)

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Chris Chartrand

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Journal of Computational Physics

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publication date

14 April 2022

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zbMATH Keywords

mimetic

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reconstruction

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harmonic

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interpolation

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polygon

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discrete inner product

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jcp.2020.109853

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Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms

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A mimetic spectral element solver for the Grad-Shafranov equation

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A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations

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Discrete conservation properties for shallow water flows using mixed mimetic spectral elements

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The Orthogonal Decomposition Theorems for Mimetic Finite Difference Methods

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Finite volume methods and the equations of finite scale: A mimetic approach

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Local flux mimetic finite difference methods

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Mimetic finite difference method

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Incompressible Computational Fluid Dynamics

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Conservation properties of unstructured staggered mesh schemes

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Accuracy and conservation properties of a three-dimensional unstructured staggered mesh scheme for fluid dynamics

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Higher-order mimetic methods for unstructured meshes

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Mixed finite elements in \(\mathbb{R}^3\)

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The dual variable method for finite element discretizations of Navier/Stokes equations

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A Vector Finite Element Time-Domain Method for Solving Maxwell's Equations on Unstructured Hexahedral Grids

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Finite element exterior calculus, homological techniques, and applications

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Differential forms for scientists and engineers

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Local reconstruction of a vector field from its normal components on the faces of grid cells

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Rational bases for convex polyhedra

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Mean value coordinates

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Computing Discrete Minimal Surfaces and Their Conjugates

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A general construction of barycentric coordinates over convex polygons

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Generalized Barycentric Coordinates on Irregular Polygons

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The natural element method in solid mechanics

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Conforming polygonal finite elements

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New perspectives on polygonal and polyhedral finite element methods

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BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

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A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES

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Basic principles of mixed Virtual Element Methods

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Mixed virtual element methods for general second order elliptic problems on polygonal meshes

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\(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods

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Flux reconstruction and solution post-processing in mimetic finite difference methods

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The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes

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Support-operator finite-difference algorithms for general elliptic problems

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The mimetic finite difference method for elliptic problems

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An analysis of finite volume, finite element, and finite difference methods using some concepts from algebraic topology

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Discrete Conservation Properties of Unstructured Mesh Schemes

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A moving unstructured staggered mesh method for the simulation of incompressible free-surface flows.

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Eigenvalues of the Laplacian in Two Dimensions

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Identifiers

10.1016/j.jcp.2020.109853

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2123908

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