Variational structure of inverse problems in wave propagation and vibration

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Practical algorithms for solving realistic inverse problems may often be viewed as problems in nonlinear programming with the data serving as constraints. Such problems are most easily analyzed when it is possible to segment the solution space into regions that are feasible (satisfying all the known constraints) and infeasible (violating some of the constraints). Then, if the feasible set is convex or at least compact, the solution to the problem will normally lie on the boundary of the feasible set. A nonlinear program may seek the solution by systematically exploring the boundary while satisfying progressively more constraints. Examples of inverse ... continued below

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22 p.

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Berryman, J.G. March 1, 1995.

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Practical algorithms for solving realistic inverse problems may often be viewed as problems in nonlinear programming with the data serving as constraints. Such problems are most easily analyzed when it is possible to segment the solution space into regions that are feasible (satisfying all the known constraints) and infeasible (violating some of the constraints). Then, if the feasible set is convex or at least compact, the solution to the problem will normally lie on the boundary of the feasible set. A nonlinear program may seek the solution by systematically exploring the boundary while satisfying progressively more constraints. Examples of inverse problems in wave propagation (traveltime tomography) and vibration (modal analysis) will be presented to illustrate how the variational structure of these problems may be used to create nonlinear programs using implicit variational constraints.

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22 p.

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OSTI as DE95011723

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  • IMA workshop on inverse problems in wave propagation, Minneapolis, MN (United States), 6-17 Mar 1995

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  • Other: DE95011723
  • Report No.: UCRL-JC--120092
  • Report No.: CONF-950339--1
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 106458
  • Archival Resource Key: ark:/67531/metadc619073

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  • March 1, 1995

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  • June 16, 2015, 7:43 a.m.

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  • Feb. 18, 2016, 11:16 a.m.

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Berryman, J.G. Variational structure of inverse problems in wave propagation and vibration, article, March 1, 1995; California. (digital.library.unt.edu/ark:/67531/metadc619073/: accessed November 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.