Adaptive Solution of Partial Differential Equations on      Parallel Computers Using an Equational Language
{'Code': '05010200', 'Directorate': {'Abbreviation': 'CSE', 'LongName': 'Direct For Computer & Info Scie & Enginr'}, 'Division': {'Abbreviation': 'CCF', 'LongName': 'Division of Computing and Communication Foundations'}}
{'SignBlockName': 'John D. Gannon', 'PO_EMAI': None, 'PO_PHON': None}
This project will develop software tools for the automatic adaptive             solution of systems of partial differential equations on parallel and           vector computers. The adaptive techniques will be capable of solving a          wide variety of partial differential systems using finite element               methods that contain combinations of mesh moving, local refinement, and         error estimation procedures.  The adaptive software will be developed           using the equational language system MODEL.  This sophisticated system          contains facilities for the convenient description of complex                   mathematical systems and for the automatic detection of parallelism and         the scheduling of parallel processors.                                                                                                                          The research will necessitate (i) improving the mesh moving, local              refinement, and error estimation techniques; (ii) dynamic scheduling            algorithms for assigning processors as computational cells are added to         or deleted from a mesh; (iii) balancing the computational load on the           processors of the parallel system, and (iv) developing a multigrid              solution strategy for solving linear algebraic systems.                                                                                                         The resulting software will enable scientists and engineers to solve a          wide variety of complex problems on several computing environments.
[{'FirstName': 'Boleslaw', 'LastName': 'Szymanski', 'PI_MID_INIT': 'K', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Boleslaw K Szymanski', 'EmailAddress': 'szymansk@cs.rpi.edu', 'NSF_ID': '000204604', 'StartDate': '08/01/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Joseph', 'LastName': 'Flaherty', 'PI_MID_INIT': 'E', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Joseph E Flaherty', 'EmailAddress': 'flaherje@cs.rpi.edu', 'NSF_ID': '000119057', 'StartDate': '08/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
{'Name': 'Rensselaer Polytechnic Institute', 'CityName': 'TROY', 'ZipCode': '121803590', 'PhoneNumber': '5182766000', 'StreetAddress': '110 8TH ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '20', 'CONGRESS_DISTRICT_ORG': 'NY20', 'ORG_UEI_NUM': 'U5WBFKEBLMX3', 'ORG_LGL_BUS_NAME': 'RENSSELAER POLYTECHNIC INSTITUTE', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '2865', 'Text': 'NUMERIC, SYMBOLIC & GEO COMPUT'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1986&All=true', 'xml': '8613353.xml'}