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A dissimilar non-matching HDG discretization for Stokes flows (Q2674055)

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English	A dissimilar non-matching HDG discretization for Stokes flows	scientific article

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scholarly article

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A dissimilar non-matching HDG discretization for Stokes flows (English)

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Jaime Manríquez

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Ngoc Cuong Nguyen

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Computer Methods in Applied Mechanics and Engineering

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publication date

22 September 2022

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zbMATH Keywords

non-matching meshes

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non-coincident meshes

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dissimilar meshes

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hybrid method

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Stokes flows

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describes a project that uses

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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.cma.2022.115292

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An HDG method for dissimilar meshes

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A natural domain decomposition method with non-matching grids

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A Robust Finite Element Method for Nonhomogeneous Dirichlet Problems in Domains with Curved Boundaries

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A finite element method for interface problems in domains with smooth boundaries and interfaces

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An isoparametric joint/interface element for finite element analysis

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A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity

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Convergence proof of the velocity field for a stokes flow immersed boundary method

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Mortar methods with curved interfaces

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A new dual mortar method for curved interfaces: 2D elasticity

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CutFEM: Discretizing geometry and partial differential equations

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Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem

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A high-order hybridizable discontinuous Galerkin method for elliptic interface problems

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Hybridizable discontinuous Galerkin method (HDG) for Stokes interface flow

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An optimally convergent higher-order finite element coupling method for interface and domain decomposition problems

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Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries

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A high order HDG method for curved-interface problems via approximations from straight triangulations

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Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

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Analysis of variable-degree HDG methods for convection-diffusion equations. Part I: general nonconforming meshes

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Analysis of variable-degree HDG methods for Convection-Diffusion equations. Part II: Semimatching nonconforming meshes

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The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow

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Analysis of HDG methods for Stokes flow

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A comparison of HDG methods for Stokes flow

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Divergence-conforming HDG methods for Stokes flows

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A hybridizable discontinuous Galerkin method for Stokes flow

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Analysis of an augmented HDG method for a class of quasi-Newtonian Stokes flows

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A priori and a posteriori error analyses of an augmented HDG method for a class of quasi-Newtonian Stokes flows

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Analysis of the HDG method for the stokes–darcy coupling

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Analysis of an adaptive HDG method for the Brinkman problem

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Parameter-free superconvergent H(div)-conforming HDG methods for the Brinkman equations

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Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations

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An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations

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A superconvergent HDG method for the incompressible Navier–Stokes equations on general polyhedral meshes

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A hybridizable discontinuous Galerkin method for the Navier-Stokes equations with pointwise divergence-free velocity field

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Hybridized globally divergence-free LDG methods. Part I: The Stokes problem

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Incompressible Finite Elements via Hybridization. Part I: The Stokes System in Two Space Dimensions

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Incompressible Finite Elements via Hybridization. Part II: The Stokes System in Three Space Dimensions

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Boundary-conforming discontinuous Galerkin methods via extensions from subdomains

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Solving Dirichlet Boundary-value Problems on Curved Domains by Extensions from Subdomains

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Coupling at a Distance HDG and BEM

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Solving convection-diffusion problems on curved domains by extensions from subdomains

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A high order HDG method for Stokes flow in curved domains

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Mathematical aspects of discontinuous Galerkin methods.

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A regularity result for the Stokes problem in a convex polygon

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Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations

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An unfitted HDG method for Oseen equations

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Identifiers

10.1016/j.cma.2022.115292

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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:2674055

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