Lavrentiev regularization of a singularly perturbed elliptic PDE.

DOI10.1016/S0096-3003(02)00837-8zbMath1040.65089MaRDI QIDQ1415274

D. Massart

Publication date: 3 December 2003

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

zbMATH Keywords

numerical resultssingular perturbationregularizationsmall parameterboundary layerill-posed problemselliptic boundary value problemdifference approximationLavrentiev method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Ill-posed problems for PDEs (35R25) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

Showalter regularization of a singularly perturbed PDE ⋮ A regularized iterative scheme for solving singularly perturbed elliptic PDE

Cites Work

• Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type
• 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
• Elliptic Partial Differential Equations of Second Order
• Tikhonov regularization of an elliptic PDE
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