A collocation finite element method for integration of the boundary layer equations

DOI10.1016/0096-3003(84)90011-0zbMath0576.65113OpenAlexW2047568537MaRDI QIDQ1064759

Nader G. Zamani

Publication date: 1984

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(84)90011-0

zbMATH Keywords

boundary layerHermite basis functionscollocation finite element

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (4)

Nonconforming spline collocation methods in irregular domains II: Error analysis ⋮ A pseudospectral based method of lines for solving integro-differential boundary-layer equations. Application to the mixed convection over a heated horizontal plate ⋮ Collocation finite element solution of a compressible flow ⋮ Finite element formulation of thermal boundary layers

Cites Work

• A collocation method for parabolic quasilinear problems on general domains
• \(L_\infty\)-convergence of collocation and Galerkin approximations to linear two-point parabolic problems
• Collocation methods for parabolic partial differential equations in one space dimension
• Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces
• A finite-difference procedure for solving the equations of the two- dimensional boundary layer
• Efficient least squares finite elements for two-dimensional laminar boundary layer analysis
• Application of Method of Collocation on Lines for Solving Nonlinear Hyperbolic Problems
• Orthogonal Collocation for Elliptic Partial Differential Equations
• An $O(h^4 )$ Cubic Spline Collocation Method for Quasilinear Parabolic Equations
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