Solving 2nd order BVPs in planar irregular domains

DOI10.1016/j.matcom.2022.05.005OpenAlexW4280636681MaRDI QIDQ2146668

William Labecca, Osvaldo Guimarães, José Roberto Castilho Piqueira

Publication date: 21 June 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.05.005

zbMATH Keywords

boundary value problemsFourier seriesspectral methodsoperational matricesChebyshev bases

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Uses Software

• Matlab

Cites Work

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• A spectral method for the eigenvalue problem for elliptic equations
• Spectral domain embedding for elliptic PDEs in complex domains
• The constructive Jordan curve theorem
• The ubiquitous Kronecker product
• The operational matrix of fractional integration for shifted Chebyshev polynomials
• Direct computation of operational matrices for polynomial bases
• Novel approach to spectral methods for irregular domains
• An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation
• A Cartesian grid embedded boundary method for the heat equation and Poisson's equation in three dimensions
• Numerical solution of the 2D Poisson equation on an irregular domain with Robin boundary conditions
• Spectral Methods
• Implementing Spectral Methods for Partial Differential Equations
• The Generalized Singular Value Decomposition and the Method of Particular Solutions
• The vec-permutation matrix, the vec operator and Kronecker products: a review
• Spectral Methods in MATLAB
• A Practical Guide to Pseudospectral Methods
• The Equations AX - YB = C and AX - XB = C in Matrices

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