Constructing a variational quasi‐reversibility method for a Cauchy problem for elliptic equations-Reference-Cited by-同舟云学术

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Constructing a variational quasi‐reversibility method for a Cauchy problem for elliptic equations

Published:2020-10-20 Issue:5 Volume:44 Page:3334-3355
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Anh Khoa Vo¹^ORCID,Truong Hoang Nhan Pham²³^ORCID

Affiliation:

1. Department of Mathematics and Statistics University of North Carolina at Charlotte Charlotte North Carolina USA

2. Department of Mathematics and Computer Science VNUHCM—University of Science Ho Chi Minh City Vietnam

3. Department of Computer Science University of Verona Verona Italy

Funder

Army Research Laboratory

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.6945

Reference31 articles.

1. Definitions and examples of inverse and ill-posed problems

2. An iterative method for solving elliptic cauchy problems

3. Two regularization methods for a Cauchy problem for the Laplace equation

4. A note on a Cauchy problem for the Laplace equation: Regularization and error estimates

5. A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces;Eldén L;Inverse Prob,2009

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data;BIT Numerical Mathematics;2023-06

2. Quasi-reversibility methods of optimal control for ill-posed final value diffusion equations;Journal of Mathematical Analysis and Applications;2023-01

3. Using a Divergence Regularization Method to Solve an Ill-Posed Cauchy Problem for the Helmholtz Equation;Abstract and Applied Analysis;2022-03-29

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