Lavrentiev’s Theorem and Error Estimation in Elliptic Inverse Problems

Spectral Theory, Function Spaces and Inequalities ◽

10.1007/978-3-0348-0263-5_6 ◽

2011 ◽

pp. 91-103

Author(s):

Ian Knowles ◽

Mary A. LaRussa

Keyword(s):

Inverse Problems ◽

Error Estimation ◽

Elliptic Inverse Problems

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An Abstract Framework for Elliptic Inverse Problems: Part 2. An Augmented Lagrangian Approach

Mathematics and Mechanics of Solids ◽

10.1177/1081286507087150 ◽

2008 ◽

Vol 14 (6) ◽

pp. 517-539 ◽

Cited By ~ 18

Author(s):

Mark S. Gockenbach ◽

Akhtar A. Khan

Keyword(s):

Inverse Problems ◽

Augmented Lagrangian ◽

Lagrangian Approach ◽

Augmented Lagrangian Approach ◽

Abstract Framework ◽

Elliptic Inverse Problems

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Solution of elliptic inverse problems using integral equations

International Journal of Applied Electromagnetics and Mechanics ◽

10.3233/jae-2006-777 ◽

2006 ◽

Vol 24 (1-2) ◽

pp. 69-77 ◽

Cited By ~ 1

Author(s):

Alexander Kharytonov

Keyword(s):

Inverse Problems ◽

Integral Equations ◽

Elliptic Inverse Problems

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Numerical method for solving a class of nonlinear elliptic inverse problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2003.08.011 ◽

2004 ◽

Vol 162 (1) ◽

pp. 165-181 ◽

Cited By ~ 12

Author(s):

M. Essaouini ◽

A. Nachaoui ◽

S. El Hajji

Keyword(s):

Inverse Problems ◽

Numerical Method ◽

Nonlinear Elliptic ◽

Elliptic Inverse Problems

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Numerical analysis of elliptic inverse problems with interior data

Journal of Physics Conference Series ◽

10.1088/1742-6596/124/1/012026 ◽

2008 ◽

Vol 124 ◽

pp. 012026

Author(s):

M S Gockenbach

Keyword(s):

Numerical Analysis ◽

Inverse Problems ◽

Interior Data ◽

Elliptic Inverse Problems

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Uniqueness for some semilinear elliptic inverse problems

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip.2001.9.3.219 ◽

2001 ◽

Vol 9 (3) ◽

Author(s):

L. A. Fernández

Keyword(s):

Inverse Problems ◽

Semilinear Elliptic ◽

Elliptic Inverse Problems

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An Abstract Framework for Elliptic Inverse Problems: Part 1. An Output Least-Squares Approach

Mathematics and Mechanics of Solids ◽

10.1177/1081286505055758 ◽

2005 ◽

Vol 12 (3) ◽

pp. 259-276 ◽

Cited By ~ 38

Author(s):

Mark S. Gockenbach ◽

Akhtar A. Khan

Keyword(s):

Inverse Problems ◽

Least Squares ◽

Output Least Squares ◽

Abstract Framework ◽

Least Squares Approach ◽

Elliptic Inverse Problems

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A Convex Objective Functional for Elliptic Inverse Problems

Lecture Notes in Pure and Applied Mathematics - Mathematical Models and Methods for Real World Systems ◽

10.1201/9781420026511.pt4 ◽

2005 ◽

pp. 389-419

Author(s):

A Khan ◽

M Gockenbach

Keyword(s):

Inverse Problems ◽

Objective Functional ◽

Elliptic Inverse Problems

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Sequential Monte Carlo methods for Bayesian elliptic inverse problems

Statistics and Computing ◽

10.1007/s11222-015-9556-7 ◽

2015 ◽

Vol 25 (4) ◽

pp. 727-737 ◽

Cited By ~ 22

Author(s):

Alexandros Beskos ◽

Ajay Jasra ◽

Ege A. Muzaffer ◽

Andrew M. Stuart

Keyword(s):

Monte Carlo ◽

Inverse Problems ◽

Monte Carlo Methods ◽

Sequential Monte Carlo ◽

Sequential Monte Carlo Methods ◽

Elliptic Inverse Problems

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Solution of elliptic inverse problems using the Poincaré-Steklov operator

International Journal of Applied Electromagnetics and Mechanics ◽

10.3233/jae-2004-537 ◽

2004 ◽

Vol 19 (1-4) ◽

pp. 63-67

Author(s):

A.A. Kharytonov

Keyword(s):

Inverse Problems ◽

Steklov Operator ◽

Elliptic Inverse Problems

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A piecewise constant level set method for elliptic inverse problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2006.07.010 ◽

2007 ◽

Vol 57 (5-7) ◽

pp. 686-696 ◽

Cited By ~ 35

Author(s):

Xue-Cheng Tai ◽

Hongwei Li

Keyword(s):

Inverse Problems ◽

Level Set Method ◽

Level Set ◽

Constant Level ◽

Piecewise Constant ◽

Elliptic Inverse Problems

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