The second-generation shifted boundary method and its numerical analysis

DOI10.1016/j.cma.2020.113341zbMath1506.76063arXiv2004.10584OpenAlexW3080938804MaRDI QIDQ2020914

Nabil M. Atallah, Guglielmo Scovazzi, Claudio Canuto

Publication date: 26 April 2021

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

Full work available at URL: https://arxiv.org/abs/2004.10584

zbMATH Keywords

immersed boundary methodunfitted finite element methodsweak boundary conditionsapproximate domain boundariessmall cut-cell problemshifted boundary method

Mathematics Subject Classification ID

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 (13)

A weighted shifted boundary method for free surface flow problems ⋮ A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains ⋮ The high-order shifted boundary method and its analysis ⋮ Unfitted finite element method for fully coupled poroelasticity with stabilization ⋮ The simple shifted fracture method ⋮ A blended shifted‐fracture/phase‐field framework for sharp/diffuse crack modeling ⋮ An enriched shifted boundary method to account for moving fronts ⋮ A divergence-free finite element method for the Stokes problem with boundary correction ⋮ Complex-geometry simulations of transient thermoelasticity with the shifted boundary method ⋮ Preconditioned numerical manifold method for linear elastic fractures ⋮ Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes ⋮ A shifted boundary method based on extension operators ⋮ Analysis of the shifted boundary method for the Poisson problem in domains with corners

Uses Software

• CutFEM

Cites Work

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