The Composite Mini Element—Coarse Mesh Computation of Stokes Flows on Complicated Domains

DOI10.1137/070704356zbMath1235.76070OpenAlexW1968754141MaRDI QIDQ3654406

Daniel Peterseim, Stefan A. Sauter

Publication date: 6 January 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070704356

zbMATH Keywords

finite elementsStokes equationmixed methodsnonconforming finite elementscomplicated domainspace coarsening

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) 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 (12)

Composite finite elements for elliptic interface problems ⋮ Error Estimates for Two-Scale Composite Finite Element Approximations of Nonlinear Parabolic Equations ⋮ A combined finite element method for elliptic problems posted in domains with rough boundaries ⋮ A stabilized finite element method for a fictitious domain problem allowing small inclusions ⋮ Recovered finite element methods on polygonal and polyhedral meshes ⋮ Finite element methods for the Stokes problem on complicated domains ⋮ Composite finite element approximation for parabolic problems in nonconvex polygonal domains ⋮ Two-scale composite finite element method for parabolic problems with smooth and nonsmooth initial data ⋮ An unfitted HDG method for Oseen equations ⋮ Error estimates for two-scale composite finite element approximations of parabolic equations with measure data in time for convex and nonconvex polygonal domains ⋮ A high order HDG method for Stokes flow in curved domains ⋮ hp –Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains

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