Adaptive \(hp\)-finite element method for solving boundary value problems for the stationary reaction-diffusion equation

DOI10.1134/S0965542515090158zbMath1333.65136OpenAlexW2214055107MaRDI QIDQ901847

N. D. Zolotareva, E. S. Nikolaev

Publication date: 6 January 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515090158

zbMATH Keywords

Dirichlet problemfinite element methodadaptive methodsstationaryone dimensionalcorrection indicatorslinear reaction-diffusion equationminimization functional

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

Implementation and efficiency analysis of an adaptive \textit{hp}-finite element method for solving boundary value problems for the stationary reaction-diffusion equation ⋮ A comparative analysis of adaptive algorithms in the finite element method for solving the boundary value problem for a stationary reaction-diffusion equation ⋮ The error estimates of spectral methods for 1-dimension singularly perturbed problem

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