A fast Petrov-Galerkin method for solving the generalized airfoil equation

DOI10.1016/j.jco.2009.05.003zbMath1172.76038OpenAlexW2046315000MaRDI QIDQ731972

Haotao Cai

Publication date: 9 October 2009

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2009.05.003

zbMATH Keywords

Chebyshev polynomialssparse matrixmultilevel augmentation methodmatrix truncation

Mathematics Subject Classification ID

Related Items (5)

A fast multiscale Kantorovich method for weakly singular integral equations ⋮ The numerical integration scheme for a fast Petrov-Galerkin method for solving the generalized airfoil equation ⋮ A fast solver for the Hilbert-type singular integral equations based on the direct Fourier spectral method ⋮ A numerical method and efficient preconditioner for generalized airfoil equations ⋮ Iterated fast multiscale Galerkin methods for Fredholm integral equations of second kind with weakly singular kernels

Cites Work

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• On the numerical resolution of the generalized airfoil equation with Possio kernel
• A fast algorithm for solving the generalized airfoil equation
• Rates of convergence for collocation with Jacobi polynomials for the airfoil equation
• A Fast Fourier–Galerkin Method for Solving Singular Boundary Integral Equations
• A Collocation Method for the Generalized Airfoil Equation for an Airfoil with a Flap
• Uniform Boundedness of Lagrange Operator in Some Weighted Sobolev‐Type Space
• Numerical Solution of the Generalized Airfoil Equation for an Airfoil with a Flap
• The Two-Dimensional Oscillating Airfoil in a Wind Tunnel in Subsonic Flow

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