A Smooth Partition of Unity Finite Element Method for Vortex Particle Regularization

DOI10.1137/17M1116258zbMath1422.65392arXiv1706.06795MaRDI QIDQ5372666

Shinnosuke Obi, Matthias Kirchhart

Publication date: 27 October 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06795

zbMATH Keywords

particle methodBiot-Savart lawvortex methodfictitious domainspartition of unity finite element methodsmooth shape functions

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Error bounds for boundary value problems involving PDEs (65N15) 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) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items

On particles and splines in bounded domains ⋮ Discrete Projections: A Step Towards Particle Methods on Bounded Domains without Remeshing

Uses Software

• Gmsh

Cites Work

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