A Mixed Virtual Element Method for The Boussinesq Problem on Polygonal meshes

DOI10.4208/jcm.2001-m2019-0187zbMath1488.65613OpenAlexW3147857540MaRDI QIDQ3381083

Filánder A. Sequeira, Mauricio Munar, Gabriel N. Gatica

Publication date: 29 September 2021

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.2001-m2019-0187

zbMATH Keywords

high-order approximationsBoussinesq problemaugmented formulationmixed virtual element methodpseudostress-based formulation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) 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)

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A unified analysis of fully mixed virtual element method for wormhole propagation arising in the petroleum engineering ⋮ Mixed virtual element methods for optimal control of Darcy flow ⋮ A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form ⋮ Some aspects on the computational implementation of diverse terms arising in mixed virtual element formulations ⋮ Virtual element methods for a stream-function formulation of the Oseen equations ⋮ An Lp spaces-based mixed virtual element method for the two-dimensional Navier–Stokes equations

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