Optimal uniform convergence analysis for a singularly perturbed quasilinear reaction–diffusion problem
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Publication:4465139
DOI10.1515/1569395041172944zbMath1049.65119OpenAlexW2063640504MaRDI QIDQ4465139
Publication date: 27 May 2004
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/1569395041172944
Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) 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
New finite difference methods for singularly perturbed convection-diffusion equations, Uniform convergence of discontinuous finite element methods for singularly perturbed reaction-diffusion problems
Cites Work
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- Full-order convergence of a mixed finite element method for fourth-order elliptic equations
- Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem
- The full approximation accuracy for the stream function-vorticity- pressure method
- Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation
- Optimal \(h\)-\(p\) finite element methods
- The \(hp\) finite element method for problems in mechanics with boundary layers
- Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Higher-order elements
- Differentiability Properties of Solutions of the Equation $ - \varepsilon ^2 \Delta u + ru = f(x,y)$ in a Square
- On the Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems in Two and One Dimensions
- Finite Element Methods for Navier-Stokes Equations
- A numerical method for solving quasilinear elliptic equations with a small parameter for the highest derivatives
- Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Reaction-Diffusion Problems
- Heterogeneous Domain Decomposition for Singularly Perturbed Elliptic Boundary Value Problems
- Uniform Convergence and Superconvergence of Mixed Finite Element Methods on Anisotropically Refined Grids
- High-Order Finite Element Methods for Singularly Perturbed Elliptic and Parabolic Problems
- Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
- Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem
