Tensor solutions in irregular domains: eigenvalue problems

DOI10.1016/j.matcom.2021.05.019OpenAlexW3160659143MaRDI QIDQ2666226

Osvaldo Guimarães, William Labecca, José Roberto Castilho Piqueira

Publication date: 22 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.matcom.2021.05.019

zbMATH Keywords

eigenvaluespartial differential equationsparameterizationspectral methodsirregular domainstensor grids

Mathematics Subject Classification ID

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

Related Items (1)

Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data

Uses Software

• Matlab
• Chebfun
• FastGaussQuadrature

Cites Work

• Unnamed Item
• Combining Legendre's polynomials and genetic algorithm in the solution of nonlinear initial-value problems
• Approximation on non-tensor domains including squircles. III: Polynomial hyperinterpolation and radial basis function interpolation on Chebyshev-like grids and truncated uniform grids
• Computing elliptic membrane high frequencies by Mathieu and Galerkin methods
• Eigenvalues of the Laplacian on an elliptic domain
• Fast direct Poisson solvers for high-order finite element discretizations in rectangularly decomposable domains
• Defeating the Runge phenomenon for equispaced polynomial interpolation via Tikhonov regularization
• Coadjoint formalism: nonorthogonal basis problems
• Direct computation of operational matrices for polynomial bases
• Orthogonal collocation revisited
• Generalized operational matrices and error bounds for polynomial basis
• Novel approach to spectral methods for irregular domains
• Dirac's formalism combined with complex Fourier operational matrices to solve initial and boundary value problems
• Spectral Methods
• Dirichlet Eigenfunctions of the Square Membrane: Courant’s Property, and A. Stern’s and Å. Pleijel’s Analyses
• An eigenvalue problem in two dimensions for an irregular boundary
• Spectral Methods in MATLAB
• A Fast, Simple, and Stable Chebyshev--Legendre Transform Using an Asymptotic Formula
• Approximations and Bounds for Eigenvalues of Elliptic Operators
• Accurate solution of the Orr–Sommerfeld stability equation

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