Numerical Simulations on Two Nonlinear Biharmonic Evolution Equations

DOI10.1080/00036810410001659600zbMath1051.65098OpenAlexW1970753407MaRDI QIDQ4818347

Chun Liu, Ming-Jun Lai, Paul R. Wenston

Publication date: 28 September 2004

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810410001659600

zbMATH Keywords

convergencefinite element methodnumerical experimentsnonlinear evolution equationsGinzburg-Landau type equationsbivariate spline method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

Bivariate spline solution of time dependent nonlinear PDE for a population density over irregular domains ⋮ Asymptotic analysis for the radial minimizer of a second-order energy functional

Cites Work

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• The effect of a singular perturbation on nonconvex variational problems
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• Fast Reaction, Slow Diffusion, and Curve Shortening
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• On the Approximation Power of Splines on Triangulated Quadrangulations
• On Two Nonlinear Biharmonic Evolution Equations: Existence, Uniqueness and Stability
• Bivariate spline method for numerical solution of steady state Navier-Stokes equations over polygons in stream function formulation

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