photo of William F. Mitchell Dr. William F. Mitchell

Personal Data
Projects
Publications
Conferences

Personal Data

Affiliation
Mathematical and Computational Sciences Division
Information Technology Laboratory
National Institute of Standards and Technology (NIST)
US Department of Commerce

Position
Computer Scientist, Mathematical Software Group

Mailing Address
National Institute of Standards and Technology
100 Bureau Dr., Stop 8910
Gaithersburg, MD 20899-8910 USA

Contacts
Email : william.mitchell@nist.gov
Phone : (301) 975-3808
FAX : (301) 975-3553

Education
Ph.D. 1988, University of Illinois at Urbana-Champaign, Computer Science
M.S. 1983, Purdue University, Computer Science
B.S. 1977, M.S. 1978, Clarkson University, Mathematics

Curriculum Vitae
Available in pdf or postscript format

Projects

  • PHAML

    PHAML (Parallel Hierarchical Adaptive MultiLevel) is a parallel implementation (SPMD message passing) of the techniques used by MGGHAT. This program is written in Fortran 90 and uses either PVM or MPI for message passing. PHAML is an active research project, but the current version of the software is available.

  • Zoltan

    The Zoltan Dynamic Load-Balancing Library provides critical capability to a number of parallel applications. Zoltan includes a suite of algorithms for dynamically computing partitions of problems over sets of processors; geometric, tree-based and graph-based algorithms are included. Zoltan's object-oriented interface is easy-to-use and enables Zoltan to be used by a number of different applications. Zoltan is designed to be flexible and extensible, so different algorithms can be used, compared and added easily.

  • f90gl

    f90gl is a fortran interface for Mesa, a freely distributable 3D graphics library with an API which is very similar to that of OpenGL, and GLUT, a window system independent API toolkit for writing OpenGL programs. It provides both fortran 77 and fortran 90 interfaces, and can also be used with native OpenGL implementations.

  • StopWatch

    StopWatch is a Fortran 90 module for portable, easy-to-use measurement of execution time of program segments. It supports multiple watches simultaneously, each with four clocks (total cpu, user cpu, system cpu, and wall clock). StopWatch is used by inserting subroutine calls into your source code, where the subroutine calls correspond to the buttons of a stop watch.

  • MGGHAT

    MGGHAT (MultiGrid Galerkin Hierarchical Adaptive Triangles) is a Fortran program for the solution of second order two dimensional elliptic partial differential equations, using adaptive refinement of second, third, or fourth order elements, and multigrid solution techniques.

    Publications

    If you do not have the software to read the available formats, an alternate format or a paper copy of these documents will be mailed to you if requested from William Mitchell.

    Review of "Understanding and Implementing the Finite Element Method" by Mark S. Gockenbach , SIAM Review, 49 (3), 2007, pp. 532-533. (preprint, pdf, 69K)

    A Refinement-tree Based Partitioning Method for Dynamic Load Balancing with Adaptively Refined Grids , J. Par. Dist. Comput., 67 (4), 2007, pp. 417-429. (preprint, pdf, 2.5M) ( link to journal )

    Effective-range Description of a Bose Gas Under Strong One- or Two-dimensional Confinement , with P. Naidon, E. Tiesinga and P. Julienne, New Journal of Physics 9 (2007) 19. ( link to journal )

    PHAML User's Guide , NISTIR 7374 , 2006. (original, pdf, 3.2M ) (latest revision, pdf)

    Adaptive Grid Refinement For a Model of Two Confined and Interacting Atoms , with E. Tiesinga, Applied Numerical Mathematics , 52, (2005), pp. 235-250. ( gzipped postscript, 233k)

    Hamiltonian Paths Through Two- and Three-Dimensional Grids , NIST J. Res. , 110, (2005), pp. 127-136. ( gzipped postscript, 79k)

    Parallel Adaptive Multilevel Methods with Full Domain Partitions , App. Num. Anal. and Comp. Math., 1, (2004), pp. 36-48. ( gzipped postscript, 286k)

    The Design of a Parallel Adaptive Multi-Level Code in Fortran 90, Proceedings of the 2002 International Conference on Computational Science, 2002. ( gzipped postscript, 50k)

    The Full Domain Partition Approach to Parallel Adaptive Refinement, Grid Generation and Adaptive Algorithms, IMA Volumes in Mathematics and its Applications, 113, Springer-Verlag, 1998, pp. 151-162. ( gzipped postscript, 138k)

    A Parallel Multigrid Method Using the Full Domain Partition, Electronic Transactions on Numerical Analysis, 6 (1998) pp. 224-233, special issue for proceedings of the 8th Copper Mountain Conference on Multigrid Methods. ( gzipped postscript, 95k)

    The Full Domain Partition Approach to Distributing Adaptive Grids, Applied Numerical Mathematics, 26 (1998) pp. 265-275, special issue for proceedings of Grid Adaptation in Computational PDEs: Theory and Applications. (gzipped postscript, 102k)

    A Fortran 90 Interface for OpenGL: Revised January 1998, NISTIR 6134, 1998. ( gzipped postscript, 45k)

    StopWatch User's Guide Version 1.0, NISTIR 5971, 1997. (html) (gzipped postscript, 78k)

    MGGHAT User's Guide Version 1.1, NISTIR 5948, 1997. (html) (postscript)

    Optimal multilevel iterative methods for adaptive grids, SIAM J. Sci. Statist. Comput. 13 (1992), pp. 146-167.

    Adaptive refinement for arbitrary finite element spaces with hierarchical bases, J. Comp. Appl. Math. 36 (1991), pp. 65-78.

    A comparison of adaptive refinement techniques for elliptic problems. ACM Trans. Math. Soft. 15 (1989), pp. 326-347.

    Unified multilevel adaptive finite element methods for elliptic problems, Ph.D. thesis, Technical report UIUCDCS-R-88-1436, Department of Computer Science, University of Illinois, Urbana, IL, 1988. ( gzipped postscript, 194k)

    Collocation software for second-order elliptic partial differential equations. ACM Trans. Math. Soft. 11 (1985), pp. 379-412. (with E.N. Houstis and J.R. Rice)

    More publications.

    Conferences

    Look for me at the following conferences:

    Sixth International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2008), Kos, Greece, September 16-20, 2008.

    SIAM Conference on Computational Science and Engineering (CSE09), Miami, FL, March 2-6, 2009.

    Fourteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, March 22-27, 2009.

    Last change to this page: August 15, 2008
    Date this page created: 1994
    Contact: William Mitchell