Adaptive \(p\)-version of the finite element method for solving boundary value problems for ordinary second-order differential equations

DOI10.1134/S0012266113070069zbMath1282.65094MaRDI QIDQ2435162

N. D. Zolotareva, E. S. Nikolaev

Publication date: 3 February 2014

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

finite element methodnumerical experiments\(p\)-versionboundary value problemboundary layersecond-order ordinary differential equationsuniform grid refinement

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

A comparative analysis of adaptive algorithms in the finite element method for solving the boundary value problem for a stationary reaction-diffusion equation ⋮ Adaptive \(hp\)-finite element method for solving boundary value problems for the stationary reaction-diffusion equation ⋮ Stagnation in the \(p\)-version of the finite element method

Cites Work

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• Adaptive mesh refinement in boundary value problems for linear ODE systems
• Method for constructing meshes adapting to the solution of boundary value problems for ordinary differential equations of the second and fourth orders
• A Posteriori Error Estimates Based on Hierarchical Bases

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