Superconvergence of rectangular finite element with interpolated coefficients for semilinear elliptic problem

DOI10.1016/j.amc.2006.02.040zbMath1106.65097OpenAlexW2073743404MaRDI QIDQ856165

Zhiguang Xiong, Chuan-miao Chen

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.040

zbMATH Keywords

numerical examplessuperconvergencesemilinear elliptic problemGauss pointsLobatto pointsrectanguar finite element

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) 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)

Related Items (11)

Analysis of a posteriori error estimates of the discontinuous Galerkin method for nonlinear ordinary differential equations ⋮ Superconvergent interpolatory HDG methods for reaction diffusion equations. II: HHO-inspired methods ⋮ Superconvergence of a discontinuous finite element method for a nonlinear ordinary differential equation ⋮ \(P _{1}\)-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations ⋮ A rectangular finite volume element method for a semilinear elliptic equation ⋮ A Quadratic Triangular Finite Volume Element Method for a Semilinear Elliptic Equation ⋮ Asymptotically exact a posteriori LDG error estimates for one-dimensional transient convection-diffusion problems ⋮ Convergence of FEM with interpolated coefficients for semilinear hyperbolic equation ⋮ Superconvergent interpolatory HDG methods for reaction diffusion equations. I: An \(HDG_k\) method ⋮ A high-order discontinuous Galerkin method for Itô stochastic ordinary differential equations ⋮ Interpolatory HDG method for parabolic semilinear PDEs

Cites Work

• Interpolation of coefficients and transformation of the dependent variable in finite element methods for the non-linear heat equation
• Error Estimates of Optimal Order for Finite Element Methods with Interpolated Coefficients for the Nonlinear Heat Equation
• Unnamed Item
• Unnamed Item

This page was built for publication: Superconvergence of rectangular finite element with interpolated coefficients for semilinear elliptic problem