__NOTOC__ Scott Alan Mitchell is a researcher of

applied mathematics Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathemat ...

in th
Center for Computing Research
at

Sandia National Laboratories Sandia National Laboratories (SNL), also known as Sandia, is one of three research and development laboratories of the United States Department of Energy's National Nuclear Security Administration (NNSA). Headquartered in Kirtland Air Force Bas ...

Background

Mitchell received a B.S in Applied Math, Engineering & Physics from the University of Wisconsin-Madison (1988), and an M.S. (1991) and Ph.D. (1993) in Applied Math from

Cornell University Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to ...

. He worked the summer of 1991 at Xerox PARC (now '' PARC''). Since 1992 he has been at

in the Center for Computing Research, with several different roles. He researched theoretical computational geometry meshing from 1992—1993. He contributed to applied meshing in th
CUBIT project
R&D 1993—2000, project leader 2000—2002, R&D 2015—. He managed Sandia's Optimization and Uncertainty Estimation department, and had programmatic roles on the Laboratory Directed Research and Development program and NNSA's

ASC ASC may refer to: Educational institutions * Anglican Schools Commission, Australia * Andres Soriano Colleges of Bislig, located in Surigao del Sur, Philippines * Agnes Scott College, Decatur, Georgia Organizations Australia * Australian Singing ...

program from 2002-2007. He researched informatics and applying persistent homology from 2008-2011. Since 2011 he researches

mesh generation Mesh generation is the practice of creating a polygon mesh, mesh, a subdivision of a continuous geometric space into discrete geometric and topological cells. Often these cells form a simplicial complex. Usually the cells partition the geometric ...

and sampling. He served on the committee of th
Meshing Roundtable
and International Symposium on Computational Geometry SoCG conferences. He served as a guest editor for the journa
CAD
As an adjunct professor, he taught a small graduate course on computational geometry at the

University of New Mexico The University of New Mexico (UNM; es, Universidad de Nuevo México) is a public research university in Albuquerque, New Mexico. Founded in 1889, it is the state's flagship academic institution and the largest by enrollment, with over 25, ...

. He is a member of

ACM ACM or A.C.M. may refer to: Aviation * AGM-129 ACM, 1990–2012 USAF cruise missile * Air chief marshal * Air combat manoeuvring or dogfighting * Air cycle machine * Arica Airport (Colombia) (IATA: ACM), in Arica, Amazonas, Colombia Computing * ...

and

SIAM Thailand ( ), historically known as Siam () and officially the Kingdom of Thailand, is a country in Southeast Asia, located at the centre of the Indochinese Peninsula, spanning , with a population of almost 70 million. The country is bo ...

Research

He published algorithms in the areas of

reconstruction Reconstruction may refer to: Politics, history, and sociology *Reconstruction (law), the transfer of a company's (or several companies') business to a new company *'' Perestroika'' (Russian for "reconstruction"), a late 20th century Soviet Unio ...

and sampling, for the contexts of computational geometry,

simulation A simulation is the imitation of the operation of a real-world process or system over time. Simulations require the use of models; the model represents the key characteristics or behaviors of the selected system or process, whereas the ...

computer graphics Computer graphics deals with generating images with the aid of computers. Today, computer graphics is a core technology in digital photography, film, video games, cell phone and computer displays, and many specialized applications. A great deal ...

and

uncertainty quantification Uncertainty quantification (UQ) is the science of quantitative characterization and reduction of uncertainties in both computational and real world applications. It tries to determine how likely certain outcomes are if some aspects of the system a ...

. His main contributions have been geometric algorithms with provable correctness and output quality guarantees. His PhD thesis was the first tetrahedral meshing algorithm with guarantees on both the number of elements and their shape. He is also well known for a series of papers on ''whisker weaving'' and other algorithms for hexahedral mesh generation using the dual

spatial twist continuum {{Use dmy dates, date=December 2023 In finite element analysis, the spatial twist continuum (STC) is a dual representation of a hexahedral mesh that defines the global connectivity constraint. Generation of an STC can simplify the automated gene ...

. He used

optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfi ...

for mesh generation, specifically ''interval assignment'', deciding the right number of edges locally so the model can be meshed globally. Since 2011 he contributed sampling algorithms for computer graphics and uncertainty quantification, and algorithms for mesh generation (including duality) and surface reconstruction.

References

External links

* {{DEFAULTSORT:Mitchell, Scott A. Applied mathematicians American computer scientists Mesh generation people Sandia National Laboratories people Cornell University alumni Living people University of Wisconsin–Madison College of Letters and Science alumni Year of birth missing (living people)