Analysis of the shifted boundary method for the Stokes problem

DOI10.1016/j.cma.2019.112609zbMath1441.76037OpenAlexW2974425401MaRDI QIDQ1989059

Claudio Canuto, Nabil M. Atallah, Guglielmo Scovazzi

Publication date: 24 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.112609

zbMATH Keywords

finite element methodimmersed boundary methodembedded methodsweak boundary conditionsapproximate domain boundariessmall cut-cell problem

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 (14)

A weighted shifted boundary method for free surface flow problems ⋮ A weighted Nitsche's method for interface problems with higher-order simplex elements ⋮ The high-order shifted boundary method and its analysis ⋮ Unfitted finite element method for fully coupled poroelasticity with stabilization ⋮ ϕ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations ⋮ The simple shifted fracture method ⋮ A divergence-free finite element method for the Stokes problem with boundary correction ⋮ Complex-geometry simulations of transient thermoelasticity with the shifted boundary method ⋮ A penalty-free shifted boundary method of arbitrary order ⋮ A shifted boundary method based on extension operators ⋮ A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations ⋮ The second-generation shifted boundary method and its numerical analysis ⋮ Comparison of shape derivatives using CutFEM for ill-posed Bernoulli free boundary problem ⋮ Analysis of the shifted boundary method for the Poisson problem in domains with corners

Uses Software

• CutFEM

Cites Work

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