An efficient meshfree method based on Pascal polynomials and multiple-scale approach for numerical solution of 2-D and 3-D second order elliptic interface problems
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Publication:2128347
DOI10.1016/j.jcp.2020.110070OpenAlexW3111477230MaRDI QIDQ2128347
Publication date: 21 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2020.110070
discontinuous coefficientsmeshfree methodmultiple-scale Pascal polynomial method2-D and 3-D elliptic interface problems
Related Items (12)
Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments ⋮ A modified algorithm based on Haar wavelets for the numerical simulation of interface models ⋮ Space–time localized polynomial basis functions for solving parabolic and hyperbolic equations ⋮ A strong-form meshfree computational method for plane elastostatic equations of anisotropic functionally graded materials via multiple-scale Pascal polynomials ⋮ An improved stabilized element-free Galerkin method for solving steady Stokes flow problems ⋮ A meshless method based on the generalized finite difference method for three-dimensional elliptic interface problems ⋮ A reconstructed discontinuous approximation on unfitted meshes to \(H(\mathrm{curl})\) and \(H(\mathrm{div})\) interface problems ⋮ A cusp-capturing PINN for elliptic interface problems ⋮ Localized Chebyshev and MLS collocation methods for solving 2D steady state nonlocal diffusion and peridynamic equations ⋮ A Discontinuity and Cusp Capturing PINN for Stokes Interface Problems with Discontinuous Viscosity and Singular Forces ⋮ Multi-scale fusion network: a new deep learning structure for elliptic interface problems ⋮ INN: interfaced neural networks as an accessible meshless approach for solving interface PDE problems
Uses Software
Cites Work
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