The Stokes complex for Virtual Elements in three dimensions (Q4960346)

scientific article; zbMATH DE number 7189569

Language	Label	Description	Also known as
English	The Stokes complex for Virtual Elements in three dimensions	scientific article; zbMATH DE number 7189569

Statements

instance of

scholarly article

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title

The Stokes complex for Virtual Elements in three dimensions (English)

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author

Lourenco Beirão da Veiga

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Franco Dassi

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Giuseppe Vacca

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publication date

15 April 2020

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full work available at URL

https://arxiv.org/abs/1905.01579

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zbMATH Keywords

virtual elements

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Stokes complex

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Navier-Stokes equation

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polygonal meshes

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describes a project that uses

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Equivalent projectors for virtual element methods

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Phase-field modeling of brittle fracture using an efficient virtual element scheme

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Vector potentials in three-dimensional non-smooth domains

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

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The fully nonconforming virtual element method for biharmonic problems

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Q3425087

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Finite element exterior calculus, homological techniques, and applications

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Finite element exterior calculus: from Hodge theory to numerical stability

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BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

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A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics

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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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Serendipity nodal VEM spaces

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High-order virtual element method on polyhedral 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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Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes

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The Stokes complex for virtual elements with application to Navier-Stokes flows

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A variational approach for the vector potential formulation of the Stokes and Navier-Stokes problems in three dimensional domains

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A residual <i>a posteriori</i> error estimate for the Virtual Element Method

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BDDC and FETI-DP for the virtual element method

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Mixed Finite Element Methods and Applications

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A hybrid high-order discretisation of the Brinkman problem robust in the Darcy and Stokes limits

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Some estimates for virtual element methods

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Virtual element methods on meshes with small edges or faces

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Isogeometric Discrete Differential Forms in Three Dimensions

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A Mixed Virtual Element Method for Quasi-Newtonian Stokes Flows

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The NonConforming Virtual Element Method for the Stokes Equations

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Anisotropic Error Estimates of the Linear Virtual Element Method on Polygonal Meshes

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A divergence free weak virtual element method for the Stokes problem on polytopal meshes

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Generalized finite element systems for smooth differential forms and Stokes' problem

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A note on the devising of superconvergent HDG methods for Stokes flow by<i>M</i>-decompositions

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Exploring high-order three dimensional virtual elements: bases and stabilizations

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Bricks for the mixed high-order virtual element method: projectors and differential operators

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\(H^1\), \(H\)(curl) and \(H\)(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal \(p\)-interpolation estimates

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de Rham diagram for \(hp\) finite element spaces

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A hybrid high-order method for the steady incompressible Navier-Stokes problem

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ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE STEADY NAVIER–STOKES EQUATIONS

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Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation

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Topology optimization using polytopes

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A mixed virtual element method for a nonlinear Brinkman model of porous media flow

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Finite element approximation of the Navier-Stokes equations

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Conforming and divergence-free Stokes elements on general triangular meshes

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Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence--Free Approximations in Arbitrary Dimensions

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On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows

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On velocity errors due to irrotational forces in the Navier-Stokes momentum balance

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Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier-Stokes equations

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Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids

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A nonconforming virtual element method for the Stokes problem on general meshes

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Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions

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Discrete and conforming smooth de Rham complexes in three dimensions

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Stokes elements on cubic meshes yielding divergence-free approximations

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Q4303980

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TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator

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An H1-conforming virtual element for Darcy and Brinkman equations

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published in

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

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Identifiers

zbMATH Open document ID

1436.65171

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DOI

10.1142/S0218202520500128

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4960346