Morley FEM for the fourth-order nonlinear reaction-diffusion problems

DOI10.1016/J.CAMWA.2021.08.010OpenAlexW3195518405MaRDI QIDQ2234885

P. Danumjaya, Ambit Kumar Pany, Amiya K. Pani

Publication date: 19 October 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.08.010

zbMATH Keywords

a priori boundsoptimal error estimatesnonconforming finite element methodnonsmooth initial dataMorley finite elementextended Fisher-Kolmogorov (EFK) equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (3)

Dissipative nonconforming virtual element method for the fourth order nonlinear extended Fisher-Kolmogorov equation ⋮ Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model ⋮ Unconditional superconvergence analysis for the nonlinear bi-flux diffusion equation

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On mixed finite element methods in plate bending analysis. I: The first Herrmann scheme
• Multidimensional nonlinear diffusion arising in population genetics
• Homotopy classes for stable connections between Hamiltonian saddle-focus equilibria
• Orthogonal cubic spline collocation method for the extended Fisher--Kolmogorov equation
• A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation
• Chaotic spatial patterns described by the extended Fisher-Kolmogorov equation
• The Morley element for fourth order elliptic equations in any dimensions
• A robust nonconforming $H^2$-element
• Mixed finite element methods for a fourth order reaction diffusion equation
• On nonconforming an mixed finite element methods for plate bending problems. The linear case
• On the boundary value problem of the biharmonic operator on domains with angular corners
• Finite Element Methods for Elliptic Equations Using Nonconforming Elements
• A Nonconforming Finite-Element Method for the Two-Dimensional Cahn–Hilliard Equation
• Convergence of nonconforming multigrid methods without full elliptic regularity
• Poincaré--Friedrichs Inequalities for Piecewise H¹ Functions
• A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation
• New development in freefem++
• Forty Years of the Crouzeix‐Raviart element
• Galerkin Finite Element Methods for Parabolic Problems

This page was built for publication: Morley FEM for the fourth-order nonlinear reaction-diffusion problems