An \(L^{\infty}\)-error estimate for finite element solution of nonlinear elliptic problem with a source term
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Publication:2490196
DOI10.1016/j.amc.2005.03.033zbMath1106.65099OpenAlexW2033977888MaRDI QIDQ2490196
Publication date: 28 April 2006
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2005.03.033
Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
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- Finite element approximations applied to the nonlinear boundary value problem \(\Delta(u)=b(u)^2\)
- Zur \(L^\infty\)-Konvergenz linearer finiter Elemente beim Dirichlet- Problem
- Schwarz algorithm for the solution of variational inequalities with nonlinear source terms
- An \(O(h^ 2)\) method for a non-smooth boundary value problem
- General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
- A Weak Discrete Maximum Principle and Stability of the Finite Element Method in L ∞ on Plane Polygonal Domains. I
- On the Quasi-Optimality in $L_\infty$ of the $\overset{\circ}{H}^1$-Projection into Finite Element Spaces*
- Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
- Iterative methods for variational and complementarity problems
- Iterative Methods by Space Decomposition and Subspace Correction
- Optimal L ∞ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems
- Maximum-Norm Interior Estimates for Ritz-Galerkin Methods
- Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes
- Uniform Convergence of Galerkin's Method for Splines on Highly Nonuniform Meshes
- Asymptotic $L^\infty $-Error Estimates for Linear Finite Element Approximations of Quasilinear Boundary Value Problems
- Numerical Evaluation of Multiple Integrals
