Orthogonal collocation on finite elements - progress and potential

DOI10.1016/0378-4754(80)90097-XzbMath0432.65059OpenAlexW1996641892MaRDI QIDQ1138894

Bruce A. Finlayson

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0378-4754(80)90097-x

zbMATH Keywords

comparisonfinite element methodsurvey paperapplication to engineering problemsmethod of orthogonal collocation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications to the sciences (65Z05)

Related Items (4)

A numerical and experimental study of batch sedimentation and viscous resuspension ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Optimal control of non-linear distributed parameter systems by a finite-element collocation technique

Uses Software

• PDECOL

Cites Work

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• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Orthogonal collocation on finite elements for elliptic equations
• Evaluation of numerical methods for elliptic partial differential equations
• On calculating with B-splines
• Oscillation limits for weighted residual methods applied to convective diffusion equations
• On the Solution of the Equations Arising from Collocation with Cubic B-Splines
• Some Collocation-Galerkin Methods for Two-Point Boundary Value Problems
• Orthogonal Collocation for Elliptic Partial Differential Equations
• A comparison of Galerkin, collocation and the method of lines for partial differential equations
• A $C^0 $-Collocation-Finite Element Method for Two-Point Boundary Value Problems and One Space Dimensional Parabolic Problems
• Collocation at Gaussian Points
• A Finite Element Collocation Method for Quasilinear Parabolic Equations
• One-Step Piecewise Polynomial Galerkin Methods for Initial Value Problems

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