A fully conforming spectral collocation scheme for second- and fourth-order problems

DOI10.1016/0045-7825(95)00822-IzbMath0945.65522OpenAlexW2045467124MaRDI QIDQ1578692

Andreas Karageorghis

Publication date: 4 September 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00822-i

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40)

Related Items (5)

A second-order continuity domain decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems ⋮ A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries ⋮ Conforming spectral approximations for non-conforming domain decompositions ⋮ An efficient direct method for fully conforming spectral collocation schemes ⋮ A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem

Cites Work

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• Improvements in spectral collocation discretization through a multiple domain technique
• A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains
• Conforming Chebyshev spectral methods for Poisson problems in rectangular domains
• Satisfaction of boundary conditions for Chebyshev collocation methods in cuboidal domains
• A conforming spectral technique for biharmonic-type problems in rectangular domains
• Conforming spectral methods for Poisson problems in cuboidal domains
• Resolution of fourth-order problems by the mortar element method
• A Chebyshev spectral collocation method for the solution of the Reynolds equation of lubrication

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