Scott A. Mitchell

Principal Member of Technical Staff
Computational Mathematics Department
Computer Science Research Institute (CSRI)
Computing Research, Center 1400
Sandia National Laboratories

Sandia National Laboratories


  • Papers 2007-
  • Meshing papers 1994-2002.
  • Computational Geometry triangulation papers and programs, including meshing. 1991-1994.

    Google scholar profile

    I am currently doing technical work related to sampling, uncertainty quantification and high dimensional space exploration, computational geometry, computer science, discrete math, and information theory. Some concluded projects include desiging a MANET protocol, researching validation process guidelines of computer models of how humans think, low-bandwidth authentication, and a military logistics siumlator called CoreSim. For a while I dabbled in computational topology, "forecasting" (uncertainty, statistics, and graph algorithms) over large-scale informatics graphs; and statistical techniques for finding the root-cause of faults in networked computer systems. Some information projects included data-streaming algorithms, e.g. approximate counting; and the geometry of distance functions for comparing probability distributions in information theory.

    Recently I've been most active in sample based techniques, including their uses for mesh generation, integration, and uncertainty quantification. Often I consider uniform-random point samplngs with inter-sample inhibition distances and guaranteed domain coverage, and meshes from these point sets. These Poisson-disk samplings are popular in computer graphics, for integration-like problems such as texture synthesis, and in simulation for fracture mechanics, where non-randomness would spoil the outcome. We are working on using them, and line-search generalizations, for sampling for uncertainty quantification.

    I taught the course "ALGORITHMIC GEOMETRY AND MESH GENERATION" at UNM in Fall 2010.
    I organized a workshop on combinatorial algebraic topology in late August 2009; we wrote a summary report.
    Here is a 2002 paper [bibtex] by Batagelj and Zaversnik about core decompositions of networks that lists me as a "liason" author linking two cores of Computational Geometry, which I recognize as Cubit mesh generation and theoretical mesh generation; see pages 7-8.

    Scott's pages:

  • Papers 2007+ and Google scholar profile and orcid
  • CV March 2012
  • Past manager web pages of Sandia's Optimization and Uncertainty Estimation department. Years 2002-2007.
  • Meshing papers and Cubit-related pages. 1994-2002.
  • Computational Geometry triangulation papers and programs, including meshing. 1991-1994.

  • Some Quotes I like
  • Personal interests

  • Contact:

    Scott A. Mitchell
    Sandia National Laboratories
    P.O. Box 5800
    MS 1320
    Albuquerque, NM 87185-1320
    Phone: (505) 845-7594
    FAX: (505) 845-7442
    Home Page(here):

    google maps building CSRI
    Room 140. North side of building.
    1450 Innovation Pkwy SE
    Albuquerque, NM 87123

    Other Mitchells


    I received a B.S in Applied Math, Engineering & Physics from the University of Wisconsin-Madison in 1988. I received an M.S. (1991) and Ph.D. (1993) in Applied Math from Cornell University. I worked the summer of 1991 at Xerox PARC with Marshall Bern and John Gilbert. Since Oct 1992 I've been at Sandia National Laboratories. I researched triangular and tetrahedral meshing algorithms via a computational geometry approach from 1992-1993. I was part of the Cubit project, doing mesh generation R&D from 1993-2000, and project leadership from 2000-2002. I did things like researching algorithms and existence proofs for hexahedral meshes and optimization for assigning the right number of edges locally so the model can be meshed globally. I managed the Optimization and Uncertainty Estimation department from 2002-2007. I served in various capacities on various programs, including LDRD (internal research program) and NNSA's ASC program. I decided I missed building things and figuring things out for myself and moved on to technical work in 2007. Time will tell what I do now.

    Partners, visitors, summer students, etc.

  • Chandrajit Bajaj
  • Jesse Berwald
  • Vageli Coutsias
  • Andrew Davidson
  • Mohamed S. Ebeida
  • Xiaoyin Ge
  • Patrick Knupp
  • Randall Laviolette
  • George Michailidis
  • John D. Owens
  • Anjul Patney
  • Alex Rand
  • Laura Swiler
  • Tim Tautges
  • Stanley Tzeng
  • Joel Vaughan
  • Li-Yi Wei
  • Afra Zomorodian
  • Steve Vavasis (PhD advisor) now at Waterloo

  • Links:

  • My short Sandia page
  • CSRI Wiki Sandia only.
  • Computer Science Research Institute facility
  • Scott's CG triangulation papers and programs.
  • Scott's Meshing and Cubit-related pages.
  • Informatics and other papers 2007+
  • My center, CCIM Center, web page.
  • RGMIA: Research Group in Mathematical Inequalities and Applications
  • Dakota optimization and uncertainty analysis framework
  • Cubit mesh generation tool suite
  • MESQUITE Mesh Quality Improvement Toolkit web
  • MESQUITE Mesh Quality Improvement Toolkit web pointer
  • Sandia ASC (formerly ASCI)
  • U.S. DOE Office of Science, Advanced Scientific Computing Research (ASCR)
  • International Meshing Roundtable International Meshing Roundtable
  • Computational Geometry Bibliography is a good place to look up papers.
  • is a good place to look up scientific computing resources.
  • Sandia Anywhere.
  • Sandia's IRN <internal only>.
  • Sandia Home Page.

    Some older meshing results:

  • Hex mesh existence proof
  • Whisker Weaving (WW) basic ideas
  • Reliable WW via curve contraction
  • WW knives
  • Resolving two faces sharing two edges in WW
  • All-hex geode-template and fixed coordinates as cubit journal file
  • Geode Algorithm
  • Mesh improvement abstract
  • Mesh improvement paper
  • Choosing corners for mapped meshing
  • Interval assignment
  • QMG quadtree/octree mesh generator
    Back to Scott A. Mitchell's home page
    Scott A. Mitchell
    Last modified: 2 July 2009