A combination of a special Hermite finite element with collocation for a reaction-diffusion type equation

DOI10.1134/S1995080219040085zbMath1422.65386OpenAlexW2955989544MaRDI QIDQ2313983

Yanyan Li

Publication date: 25 July 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219040085

zbMATH Keywords

collocation methodfinite element methodreaction-diffusion equationHermite finite element

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15)

Cites Work

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• Finite element methods for the Stokes system based on a Zienkiewicz type \(N\)-simplex
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• Bicubic Hermite elements in a domain with the curved boundary
• Hermite analogs of the lowest order Raviart-Thomas mixed method for convection-diffusion equations
• Hermite interpolation of nonsmooth functions preserving boundary conditions
• On the Full C₁-Q_k Finite Element Spaces on Rectangles and Cuboids
• A Hermite finite element method for incompressible fluid flow

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