An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations

DOI10.1016/J.JCP.2022.111496OpenAlexW3133696919WikidataQ113871669 ScholiaQ113871669MaRDI QIDQ2675586

Igor Tominec, Pierre-Frédéric Villard, Nicola Cacciani, Elisabeth Larsson, Victor Bayona

Publication date: 24 September 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03673

zbMATH Keywords

elasticityleast-squaresmixed boundary conditionRBF-FDdiaphragmunfitted

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Approximations and expansions (41Axx)

Related Items (1)

Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws

Uses Software

• rbf-fd

Cites Work

• On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
• A study of different modeling choices for simulating platelets within the immersed boundary method
• An unfitted RBF-FD method in a least-squares setting for elliptic PDEs on complex geometries
• An insight into RBF-FD approximations augmented with polynomials
• On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries
• A Primer on Radial Basis Functions with Applications to the Geosciences

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