Novel approach to spectral methods for irregular domains

DOI10.1016/j.camwa.2020.02.016zbMath1452.65368OpenAlexW3009749977MaRDI QIDQ2192534

Osvaldo Guimarães, José Roberto Castilho Piqueira

Publication date: 17 August 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.02.016

zbMATH Keywords

parametrizationpartial differential equationsspectral methodsirregular domainsboundary bordering

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)

Related Items (4)

Solving 2nd order BVPs in planar irregular domains ⋮ A space-time discretization of a nonlinear peridynamic model on a 2D lamina ⋮ Tensor solutions in irregular domains: eigenvalue problems ⋮ Geometrically transformed spectral methods to solve partial differential equations in circular geometries, application for multi-phase flow

Uses Software

• Matlab

Cites Work

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• Spectral domain embedding for elliptic PDEs in complex domains
• Chebyshev tau matrix method for Poisson-type equations in irregular domain
• The ubiquitous Kronecker product
• Direct computation of operational matrices for polynomial bases
• Solving Transcendental Equations
• The vec-permutation matrix, the vec operator and Kronecker products: a review
• Spectral Methods in MATLAB

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