Mathematical Sciences: Parameter Estimation Problems with   Discontinuous Coefficients
{'Code': '03040100', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
The subject of this project is parameter estimation problems               for flow equations with discontinuous coefficients.  These are the              problems where parameters of the medium are required to be                      determined by indirect measurements.  Specifically the objective of             this project is developing of efficient algorithms for the                      identification of discontinuous parameters a(x) in 2-D and 3-D                  problems.                                                                            The suggested algorithm uses finite elements approximations of             the space variable u(x,t) and does not require any discretization               of the parameter variable  a(x).  Special averaging procedure is                introduced to eliminate numerical instabilities.  The general                   theory is based on G-convergence of parabolic operators and                     principle od simultaneous minimization.  Preliminary results for 2-             d problems show examples of successful identification and                       significant possibilities for vectorization.  We also study the                 problem of further improvements in the identification by                        considering additional data sets of observations.
{'FirstName': 'Semion', 'LastName': 'Gutman', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Semion Gutman', 'EmailAddress': None, 'NSF_ID': '000252420', 'StartDate': '08/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Oklahoma Norman Campus', 'CityName': 'NORMAN', 'ZipCode': '730193003', 'PhoneNumber': '4053254757', 'StreetAddress': '660 PARRINGTON OVAL RM 301', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Oklahoma', 'StateCode': 'OK', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'OK04', 'ORG_UEI_NUM': 'EVTSTTLCEWS5', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF OKLAHOMA', 'ORG_PRNT_UEI_NUM': None}
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