Mathematical Sciences: Numerical Approximation of Strongly  Nonlinear and Constrained Problems
{'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}
This research will consider the numerical analysis of                      strongly nonlinear problems including free boundary problems,                   constrained problems such as Stokes flow, and the Hamilton-Jacobi               equations.  Linearization techniques based on nonlinear Chernoff                formulae will be investigated, and nonlinear algorithms for both                parabolic and eliptic problems will be analyzed with particular                 emphasis on accuracy in nonenergy spaces and splitting                          algorithms.  The impact of local mesh refinements in reducing                   computational labor for a given accuracy will be considered.                    Work analyzing the pointwise accuracy of mixed finite element                   methods will be continued.                                                           This work will combine and interrelate theory and numerical                methods.  It should increase understanding of both the numerical                techniques and the motivating physical situations.
{'FirstName': 'Ricardo', 'LastName': 'Nochetto', 'PI_MID_INIT': 'H', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Ricardo H Nochetto', 'EmailAddress': 'rhn@math.umd.edu', 'NSF_ID': '000380906', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Maryland, College Park', 'CityName': 'COLLEGE PARK', 'ZipCode': '207425100', 'PhoneNumber': '3014056269', 'StreetAddress': '3112 LEE BUILDING', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Maryland', 'StateCode': 'MD', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'MD04', 'ORG_UEI_NUM': 'NPU8ULVAAS23', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF MARYLAND, COLLEGE PARK', 'ORG_PRNT_UEI_NUM': 'NPU8ULVAAS23'}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8805218.xml'}