Asymptotic behaviour of the Galerkin and the finite element collocation methods for a parabolic equation

DOI10.1016/S0096-3003(00)00166-1zbMath1023.65103OpenAlexW2060904481MaRDI QIDQ1855187

Stephen E. Onah

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00166-1

zbMATH Keywords

convergenceGalerkin methodspline functionsspectral normsfinite element collocation method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

Application of orthogonal collocation on finite elements for solving nonlinear boundary value problems ⋮ A computationally efficient technique for solving two-point boundary value problems in porous media ⋮ Asymptotic convergence of cubic Hermite collocation method for parabolic partial differential equation ⋮ Analysis of a linear and non-linear model for diffusion-dispersion phenomena of pulp washing by using quintic Hermite interpolation polynomials ⋮ Modelling and simulation of a packed bed of pulp fibers using mixed collocation method ⋮ Numerical approach for solving diffusion problems using cubic B-spline collocation method ⋮ Asymptotic behavior of the finite difference and the finite element methods for parabolic equations ⋮ Solution of two point boundary value problems using orthogonal collocation on finite elements

Cites Work

• Unnamed Item
• A note on the accuracy and convergence of finite element approximations of the convection equation
• On direct methods for the discretization of a heat-conduction equation using spline functions
• On the Numerical Solution of the Diffusion Equation

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