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marlouch (marlouch)
Member
Username: marlouch

Post Number: 5
Registered: 07-2006
Posted on Friday, September 01, 2006 - 04:23 am:   

Hi,
Does anyone know how to solve the inverse problem of the diffusion equation by the finite element method or/and by FlexPDE5 ?

Best regards.
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Robert G. Nelson (rgnelson)
Moderator
Username: rgnelson

Post Number: 680
Registered: 06-2003
Posted on Friday, September 01, 2006 - 04:32 pm:   

FlexPDE was used several years ago at Lawrence Livermore Lab to solve a forward-inverse problem. The report on this work can be seen at http://www-afim.llnl.gov/
Appendix B of this report deals with the specific inverse solution method. A copy of this appendix is posted at www.pdesolutions.com/download/gelinas.appb.doc

A lower-level report on the core problem grad(K)<dot>grad(H)=0 was written here at PDE Solutions Inc in 1997. This report can be downloaded from www.pdesolutions.com/download/hyperbolic.doc
This report used FlexPDE version 2 and has not been updated since, but I presume the script translation should be straightforward.

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