Tikhonov regularization of an elliptic PDE

DOI10.1016/S0378-4754(00)00272-XzbMath0986.65100WikidataQ127517338 ScholiaQ127517338MaRDI QIDQ5944015

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Publication date: 28 May 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

singular perturbationregularizationelliptic boundary value problemTikhonov's regularization

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)

Related Items

Showalter regularization of a singularly perturbed PDE ⋮ A variant of Tikhonov regularization for parabolic PDE with space derivative multiplied by a small parameter \(\epsilon\) ⋮ An iterative technique for solving singularly perturbed parabolic PDE ⋮ An iterative Tikhonov regularization for solving singularly perturbed elliptic PDE ⋮ Lavrentiev regularization of a singularly perturbed elliptic PDE. ⋮ A collection of computational techniques for solving singular boundary-value problems ⋮ Lardy's regularization of a singularly perturbed elliptic PDE

Cites Work

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• Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type
• Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Convection-diffusion type
• A Globally Uniformly Convergent Finite Element Method for a Singularly Perturbed Elliptic Problem in Two Dimensions
• Elliptic Partial Differential Equations of Second Order