Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra

DOI10.1142/S0218202519500167zbMath1425.76124arXiv1710.06742OpenAlexW2963069532WikidataQ128287002 ScholiaQ128287002MaRDI QIDQ4972969

Eldar Khattatov, Ilona Ambartsumyan, Jeonghun J. Lee, Ivan Yotov

Publication date: 29 November 2019

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06742

zbMATH Keywords

mixed finite element methodsfinite volume schemesmultipoint fluxhigh order methods

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (8)

High-Order Polynomial Recovery in Finite Element Advection Schemes ⋮ High order approximation of Hodge Laplace problems with local coderivatives on cubical meshes ⋮ A multipoint stress-flux mixed finite element method for the Stokes-Biot model ⋮ A multipoint stress mixed finite element method for elasticity on quadrilateral grids ⋮ A div FOSLS method suitable for quadrilateral RT and hexahedral RTN \(H(\operatorname{div})\)-elements ⋮ A stabilized finite element method on nonaffine grids for time-harmonic Maxwell's equations ⋮ On a Second-Order Multipoint Flux Mixed Finite Element Methods on Hybrid Meshes ⋮ Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids

Uses Software

• deal.ii

Cites Work

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