Galerkin's finite element formulation of the second-order boundary-value problems

DOI10.1080/00207160802562580zbMath1197.65093OpenAlexW2118304800MaRDI QIDQ5747737

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Publication date: 14 September 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802562580

zbMATH Keywords

comparison of methodsGalerkin methodfinite element methodnumerical examplescontactfinite-differencecollocationboundary-value problemsobstaclespline methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

A spatially adaptive grid refinement scheme for the finite element solution of a second order obstacle problem ⋮ Galerkin's finite element formulation of the system of fourth-order boundary-value problems

Cites Work

• Finite difference technique for solving obstacle problems
• Parametric cubic spline approach to the solution of a system of second-order boundary-value problems
• Nonpolynomial spline approach to the solution of a system of second-order boundary-value problems
• Quadratic non-polynomial spline approach to the solution of a system of second-order boundary-value problems
• Nonpolynomial spline approach to the solution of a system of third-order boundary-value problems
• Spline solutions for system of second-order boundary-value problems
• Variational inequalities
• On the regularity of the solution of a variational inequality
• The use of cubic splines in the numerical solution of a system of second-order boundary value problems
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