A class of renormalised meshless Laplacians for boundary value problems

DOI10.1016/j.jcp.2017.11.003zbMath1380.65348OpenAlexW2767673860MaRDI QIDQ1700733

Nastia Degiuli, Dario Ban, Josip Bašić

Publication date: 22 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.11.003

zbMATH Keywords

Laplace operatorPoisson equationLaplacianmeshless methodmesh-free numerical methods for PDEs

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear operator approximation theory (47A58) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (9)

Application of Taylor series combined with the weighted least square method to thermodynamic topology optimization ⋮ An improved impermeable solid boundary scheme for meshless local Petrov-Galerkin method ⋮ Lagrangian differencing dynamics for incompressible flows ⋮ A class of second-derivatives in the smoothed particle hydrodynamics with 2nd-order accuracy and its application to incompressible flow simulations ⋮ Compact moving particle semi-implicit method for incompressible free-surface flow ⋮ Improving stability of moving particle semi-implicit method by source terms based on time-scale correction of particle-level impulses ⋮ A dimensionless numerical mesh-free model for the compressible fluid flows ⋮ Boundary condition enforcement for renormalised weakly compressible meshless Lagrangian methods ⋮ Improvement of a projection-based particle method in free-surface flows by improved Laplacian model and stabilization techniques

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