An H1-conforming virtual element for Darcy and Brinkman equations (Q4598628)

scientific article; zbMATH DE number 6818909

Language	Label	Description	Also known as
English	An H1-conforming virtual element for Darcy and Brinkman equations	scientific article; zbMATH DE number 6818909

Statements

instance of

scholarly article

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title

An H1-conforming virtual element for Darcy and Brinkman equations (English)

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author

Giuseppe Vacca

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publication date

15 December 2017

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full work available at URL

https://arxiv.org/abs/1701.07680

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zbMATH Keywords

virtual element method

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polygonal meshes

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Darcy equations

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Brinkman equations

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describes a project that uses

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Equivalent projectors for virtual element methods

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A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem

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A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes

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$hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains

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BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

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Virtual Elements for Linear Elasticity Problems

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The Hitchhiker's Guide to the Virtual Element Method

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

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

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Basic principles of hp virtual elements on quasiuniform meshes

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The mimetic finite difference method for elliptic problems

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Mimetic finite difference methods for Hamiltonian wave equations in 2D

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A virtual element method for elastic and inelastic problems on polytope meshes

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Stability analysis for the virtual element method

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Divergence free virtual elements for the stokes problem on polygonal meshes

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A virtual element method with arbitrary regularity

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A hybrid mortar virtual element method for discrete fracture network simulations

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The virtual element method for discrete fracture network simulations

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A displacement-based finite element formulation for general polyhedra using harmonic shape functions

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Mixed Finite Element Methods and Applications

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Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes

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The Mathematical Theory of Finite Element Methods

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Basic principles of mixed Virtual Element Methods

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Mixed and Hybrid Finite Element Methods

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MIXED FINITE ELEMENT METHODS WITH CONTINUOUS STRESSES

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Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

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Virtual element methods for plate bending problems

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A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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A mixed virtual element method for the pseudostress–velocity formulation of the Stokes problem

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hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes

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Conforming and nonconforming finite element methods for solving the stationary Stokes equations I

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A hybrid high-order locking-free method for linear elasticity on general meshes

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A discontinuous skeletal method for the viscosity-dependent Stokes problem

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Analysis of the Brinkman equation as a model for flow in porous media

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Virtual Element Method for the Laplace-Beltrami equation on surfaces

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On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes

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Virtual element method for second-order elliptic eigenvalue problems

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A Dual–Mixed Finite Element Method for the Brinkman Problem

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Analysis of finite element methods for the Brinkman problem

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Unified finite element discretizations of coupled Darcy-Stokes flow

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Mimetic finite difference method

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Spectral properties and conservation laws in mimetic finite difference methods for PDEs

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A Robust Finite Element Method for Darcy--Stokes Flow

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A virtual element method for the Steklov eigenvalue problem

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Interpolation error estimates for mean value coordinates over convex polygons

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Higher Order BEM-Based FEM on Polygonal Meshes

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Recent advances in the construction of polygonal finite element interpolants

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Conforming polygonal finite elements

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Addressing integration error for polygonal finite elements through polynomial projections: A patch test connection

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Polygonal finite elements for topology optimization: A unifying paradigm

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\texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab

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An H1-conforming virtual element for Darcy and Brinkman equations

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Virtual element methods for hyperbolic problems on polygonal meshes

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Virtual element methods for parabolic problems on polygonal meshes

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MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS

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Barycentric coordinates for polytopes

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A virtual element method for contact

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Q3609588

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The nonconforming virtual element method for plate bending problems

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published in

M$^3$AS. Mathematical Models \& Methods in Applied Sciences

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Identifiers

zbMATH Open document ID

1457.65218

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DOI

10.1142/S0218202518500057

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4598628