Concepedia

A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation

Laurent Bourgeois

Inverse Problems · 2005 · 160 citations · 6 references

Concepts

Natural SciencesMathematicsPhysicsDifferential EquationsFinite Element AnalysisFinite Element MethodsConvergence AnalysisFinite Element DiscretizationFinite Element FormulationNumerical AnalysisNumerical Methods For Differential EquationsPartial Differential EquationsCauchy ProblemDiscretization Of Partial Differential EquationsLaplace EquationNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential Equations

Abstract

International audience

References

6

A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation

Michael V. Klibanov, Fadil Santosa · SIAM Journal on Applied Mathematics · 1991 · 207 citations

Natural Sciences, Physics, Computational Mechanics +16

An inverse Robin problem for Laplace's equation: theoretical results and numerical methods

Dario Fasino, Gabriele Inglese · Inverse Problems · 1999 · 203 citations

Engineering, Computational Engineering, Materials Science +16

An inverse problem in corrosion detection

Gabriele Inglese · Inverse Problems · 1997 · 174 citations

Natural Sciences, Electrical Engineering, Materials Science +17

Solution of the Cauchy problem using iterated Tikhonov regularization

Alain Cimetière, Franck Delvare, Frédéric Pons · Inverse Problems · 2001 · 139 citations

Computing, Computer Science, Algorithms +13

Method of separation of variables and Hamiltonian system

Numerical Methods for Partial Differential Equations · 1993 · 56 citations

Natural Sciences, Mathematics, Physics +16