A new fictitious domain method: optimal convergence without cut elements

DOI10.1016/j.crma.2016.02.002zbMath1338.65249OpenAlexW2385415821MaRDI QIDQ292534

Alexei Lozinski

Publication date: 8 June 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.02.002

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) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items (7)

A weighted shifted boundary method for free surface flow problems ⋮ CutFEM without cutting the mesh cells: a new way to impose Dirichlet and Neumann boundary conditions on unfitted meshes ⋮ 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 ⋮ Analysis of the shifted boundary method for the Stokes problem ⋮ The second-generation shifted boundary method and its numerical analysis

Uses Software

• FreeFem++

Cites Work

• A smooth extension method
• Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
• Ghost penalty
• Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
• A New Fictitious Domain Approach Inspired by the Extended Finite Element Method
• New development in freefem++

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