A regularized iterative scheme for solving singularly perturbed elliptic PDE
DOI10.1016/j.matcom.2017.05.010zbMath1484.65330OpenAlexW2623534928MaRDI QIDQ1996956
Publication date: 1 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2017.05.010
Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Numerical methods for partial differential equations, boundary value problems (65N99)
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Cites Work
- A brief survey on numerical methods for solving singularly perturbed problems
- Ritz-regularization versus least-square-regularization. Solution methods for integral equations of the first kind
- Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type
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- A Globally Uniformly Convergent Finite Element Method for a Singularly Perturbed Elliptic Problem in Two Dimensions
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- Elliptic Partial Differential Equations of Second Order
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