High-order gradients with the shifted boundary method: an embedded enriched mixed formulation for elliptic PDEs
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Publication:2222589
DOI10.1016/j.jcp.2019.108898zbMath1453.76082OpenAlexW2969428505WikidataQ114163510 ScholiaQ114163510MaRDI QIDQ2222589
Guglielmo Scovazzi, Mario Ricchiuto, Léo Nouveau
Publication date: 27 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-02269007/file/Darcy.pdf
finite element methodcomputational fluid dynamicsDarcy flowembedded boundarystabilized methodshigh-order approximation
Flows in porous media; filtration; seepage (76S05) 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)
Related Items (11)
A weighted shifted boundary method for free surface flow problems ⋮ The simple shifted fracture method ⋮ A quasi-conforming embedded reproducing kernel particle method for heterogeneous materials ⋮ An enriched shifted boundary method to account for moving fronts ⋮ Hierarchical basis in \(H^{\operatorname{div}}\) space for a mixed finite element formulation of the Darcy problem ⋮ A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations ⋮ Extrapolated shock tracking: bridging shock-fitting and embedded boundary methods ⋮ Analysis of the shifted boundary method for the Poisson problem in domains with corners ⋮ \(h\)- and \(r\)-adaptation on simplicial meshes using MMG tools ⋮ A combined volume penalization/selective frequency damping approach for immersed boundary methods applied to high-order schemes ⋮ Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes
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