A spectral collocation method to solve Helmholtz problems with boundary conditions involving mixed tangential and normal derivatives

DOI10.1016/j.jcp.2004.03.004zbMath1055.65134OpenAlexW2073721135MaRDI QIDQ1885782

Yanyan Li

Publication date: 12 November 2004

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.03.004

zbMATH Keywords

algorithmnumerical examplesHelmholtz equationclosed cavities with thin diffusive wallsCollocation spectral methodRayleigh--Bénard instability thresholds

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Flows in porous media; filtration; seepage (76S05) Spectral methods applied to problems in fluid mechanics (76M22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• Chebyshev 3-D spectral and 2-D pseudospectral solvers for the Helmholtz equation
• An accurate solution of the Poisson equation by the Chebyshev collocation metod
• The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
• Numerical simulations of interface viscosity effects on thermoconvective motion in two-dimensional rectangular boxes
• High-Order Direct Stokes Solvers with or Without Temporal Splitting: Numerical Investigations of Their Comparative Properties
• Convection in a box: linear theory
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