A class of renormalised meshless Laplacians for boundary value problems
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Publication:1700733
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
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)
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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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