Finite element approximation for fourth-order nonlinear problem in the plane

DOI10.1016/j.amc.2007.04.060zbMath1193.65195OpenAlexW2096890738MaRDI QIDQ990655

Yuan Li, Rong An, Kai-Tai Li

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.060

zbMATH Keywords

error estimatesfinite element approximationfourth-order nonlinear problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

Numerical investigation of the generalized lubrication equation

Cites Work

• Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity
• On the convergence of a mixed finite-element method for plate bending problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Optimal shape design for blade's surface of an impeller via the Navier-Stokes equations
• Analysis of Mixed Methods Using Mesh Dependent Norms
• Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• A Semilinear Fourth Order Elliptic Problem with Exponential Nonlinearity
• Finite Element Methods and Their Applications
• A mixed finite-element method for quasilinear degenerate fourth-order elliptic equations
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