Showalter regularization of a singularly perturbed PDE

DOI10.1016/j.amc.2003.08.076zbMath1063.65128OpenAlexW2010235205MaRDI QIDQ1888265

Yanyan Li

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.076

zbMATH Keywords

convergencesingular perturbationnumerical examplesill-posed elliptic problemShowalter regularization method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Ill-posed problems for PDEs (35R25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type
• Lavrentiev regularization of a singularly perturbed elliptic PDE.
• Lardy's regularization of a singularly perturbed elliptic PDE
• Regularization methods for the stable solution of inverse problems
• A Globally Uniformly Convergent Finite Element Method for a Singularly Perturbed Elliptic Problem in Two Dimensions
• Representation and Computation of the Pseudoinverse
• Tikhonov regularization of an elliptic PDE
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