Semi and Fully Discrete Analysis of Extended Fisher–Kolmogorov Equation with Nonstandard FEMs for Space Discretisation

This article discusses lowest-order nonstandard finite element methods for space discretisation and backward Euler scheme for time discretisation of the extended Fisher–Kolmogorov equation with clamped boundary conditions. Spatial discretisation employs popular piecewise quadratic schemes based on t...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 104; no. 1; p. 14
Main Authors:	Das, Avijit, Nataraj, Neela, Chirappurathu Remesan, Gopikrishnan
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.07.2025 Springer Nature B.V
Subjects:	Algorithms Approximation Boundary conditions Computational Mathematics and Numerical Analysis Discretization Equilibrium Error analysis Estimates Exact solutions Finite element method Galerkin method Hypotheses Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Norms Phase transitions Propagation Theoretical Ritz projection 35J40 (Secondary) 65N15 Time-dependent Error estimates Extended Fisher–Kolmogorov equation Fourth–order parabolic equation Stability Nonstandard finite element methods 35J35 (Primary) 65N30
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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