A new error analysis of nonconforming Bergan's energy-orthogonal element for the extended Fisher-Kolmogorov equation

DOI10.1016/j.jmaa.2018.04.059zbMath1404.65130OpenAlexW2800523648WikidataQ129886325 ScholiaQ129886325MaRDI QIDQ1754695

Lifang Pei, Dong-Yang Shi

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.059

zbMATH Keywords

nonlinearoptimal error estimatenonconforming FEMEFK equation

Mathematics Subject Classification ID

Plates (74K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (8)

Unnamed Item ⋮ Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation ⋮ Quasi‐uniform convergence analysis of a modified penalty finite element method for nonlinear singularly perturbed bi‐wave problem ⋮ Two-grid dimension reduction method of Crank-Nicolson mixed finite element solution coefficient vectors for the fourth-order extended Fisher-Kolmogorov equation ⋮ Dissipative nonconforming virtual element method for the fourth order nonlinear extended Fisher-Kolmogorov equation ⋮ Unconditional superconvergence analysis for the nonlinear bi-flux diffusion equation ⋮ Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces ⋮ Chebyshev wavelets collocation method for extended Fisher Kolmogorov equations one and two space dimension

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