Publications of William F. Mitchell

Damage Sensing Using a Mechanophore Crosslinked Epoxy Resin in Single-fiber Composites, Nature, submitted. (with J.W. Woodcock, R. Sheridan, R. Beams, S.J. Stranick, L.C. Brinson, V. Gudapati, D. Hartman, A. Vaidya, J.W. Gilman and G.A. Holmes)

An a posteriori Error Estimate for Scanning Electron Microscope Simulation with Adaptive Mesh Refinement, Journal of Scientific Computing, submitted. (with J.S. Villarrubia) (preprint, pdf, 288K)

Performance of hp-Adaptive Strategies for 3D Elliptic Problems, Proceedings of the Computation and Information Science Conference, University of Thessaly Press, to appear, 2017. (preprint, pdf, 362K)

30 Years of Newest Vertex Bisection, Journal of Numerical Analysis, Industrial and Applied Mathematics, 11 (1-2), 2017, pp. 11-22. (preprint, pdf, 539K) ( link to journal)

30 Years of Newest Vertex Bisection, Proceedings of the 2015 International Conference on Numerical Analysis and Applied Mathematics, AIP Conference Proceedings 1738, 020011, 2016. (preprint, pdf, 62K) ( link to journal) DOI 10.1063/1.4951755

How High a Degree is High Enough for High Order Finite Elements?, Procedia Computer Science, 15, 2015, pp. 246-255. (preprint, pdf, 583K) ( link to journal) DOI 10.1016/j.procs.2015.05.235

Performance of hp-Adaptive Strategies for Elliptic Partial Differential Equations, Proceedings of the 2014 International Conference on Numerical Analysis and Applied Mathematics, AIP Conference Proceedings 1648, 2015. (preprint, pdf, 95k )

A Comparison of hp-Adaptive Strategies for Elliptic Partial Differential Equations, ACM Trans. Math. Soft. , 41 (1) Article 2, October 2014. (with M. A. McClain) (preprint, pdf, 792K) ( link to journal) DOI 10.1145/2629459

A Collection of 2D Elliptic Problems for Testing Adaptive Grid Refinement Algorithms, Appl. Math. Comput., 220, 2013, pp. 350-364. (preprint, pdf, 9.8M) ( link to journal) DOI 10.1016/j.amc.2013.05.068

Resonant Control of Polar Molecules in an Optical Lattice, Phys. Rev. A, 85 (2), 2012. (with T. M. Hanna, E. Tiesinga and P. S. Julienne) arXiv:1111.0227v1, 2011. (link to journal) DOI 10.1103/PhysRevA.85.022703

A Comparison of hp-Adaptive Strategies for Elliptic Partial Differential Equations (long version), NISTIR 7824, 2011. (with M. A. McClain) ( pdf, 33M, 215 pages)

A Survey of hp-Adaptive Strategies for Elliptic Partial Differential Equations, in Recent Advances in Computational and Applied Mathematics (T. E. Simos, ed.), Springer, 2011, pp. 227-258. (with M. A. McClain) (preprint, pdf, 16M)

The hp-Multigrid Method Applied to hp-Adaptive Refinement of Triangular Grids, Numer. Linear Algebra Appl., 17, 2010, pp. 211-228. (preprint, pdf, 958K) ( link to journal) DOI 10.1002/nla.700

Strategies for hp-Adaptive Refinement, Proceedings of the 2008 International Conference on Numerical Analysis and Applied Mathematics, AIP Conference Proceedings 1048, American Institute of Physics, Melville, NY, 2008, pp. 23-25. (preprint, pdf, 84K) ( link to journal) DOI 10.1063/1.2990902

Review of "Understanding and Implementing the Finite Element Method" by Mark S. Gockenbach, SIAM Rev., 49 (3), 2007, pp. 532-533. (preprint, pdf, 69K) ( link to journal) DOI 10.1137/SIREAD000049000003000511000001

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 ) DOI 10.1016/j.jpdc.2006.11.003

Effective-range Description of a Bose Gas Under Strong One- or Two-dimensional Confinement, New J. Phys. 9, 2007, p. 19. (with P. Naidon, E. Tiesinga and P. Julienne) ( link to journal ) DOI 10.1088/1367-2630/9/1/019

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, Appl. Numer. Math., 52, 2005, pp. 235-250. (with E. Tiesinga) ( gzipped postscript, 233k) ( link to journal ) DOI 10.1016/j.apnum.2004.08.034

Hamiltonian Paths Through Two- and Three-Dimensional Grids, NIST J. Res. , 110, 2005, pp. 127-136. ( gzipped postscript, 79k) ( link to journal ) DOI 10.6028/jres.110.012

Parallel Adaptive Multilevel Methods with Full Domain Partitions, App. Num. Anal. and Comp. Math., 1, 2004, pp. 36-48. ( gzipped postscript, 286k) ( link to journal ) DOI 10.1002/anac.200310004

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)

Adaptive Grid Refinement and Multigrid on Cluster Computers, Proceedings of the 15th International Parallel and Distributed Processing Symposium, IEEE Computer Society Press, 2001. ( gzipped postscript, 200k)

A Refinement-Tree Based Partitioning Method for Adaptively Refined Grids, Proceedings of the Tenth SIAM Conference on Parallel Processing for Scientific Computing, 2001. ( pdf, 283k)

Effect of Flow Due to Density Change on Eutectic Growth, J. Crystal Growth, 224, 2001, pp. 145-154. (with S.R. Coriell, G.B. McFadden, B.T. Murray, J.B. Andrews and Y. Arikawa) ( link to journal) DOI 10.1016/S0022-0248(01)00724-2

Review of "Programming the Finite Element Method, Third Edition" by I.M. Smith and D.V. Griffiths, SIAM Rev., 41 (3), 1999, p. 620. ( pdf, 81k) ( link to journal) DOI 10.1137/SIREAD000041000003000605000001

A Comparison of Three Fast Repartition Methods for Adaptive Grids, Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, 1999. ( gzipped postscript, 50k)

The Fortran 90 Bindings for OpenGL, ACM Fortran Forum, 18, 1999 pp. 5-13. ( gzipped postscript, 69k) ( link to journal) DOI 10.1145/310408.310412

The Refinement-Tree Partition for Parallel Solution of Partial Differential Equations, NIST J. Res., 103 (4), 1998, pp. 405-414. ( gzipped postscript, 96k) ( link to journal) DOI 10.6028/jres.103.025

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

The Full Domain Partition Approach to Distributing Adaptive Grids, Appl. Numer. Math., 26, 1998, pp. 265-275. (gzipped postscript, 102k) ( link to journal) DOI 10.1016/S0168-9274(97)00095-0

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. (gzipped postscript, 250k)

A Parallel Multigrid Method Using the Full Domain Partition, Electron. Trans. Numer. Anal., 6, 1997, pp. 224-233. ( gzipped postscript, 95k) ( link to journal)

Analysis of Monotectic Growth: Infinite Diffusion in the L2 Phase, J. Crystal Growth, 179, 1997, pp. 647-657. (with S.R. Coriell, B.T. Murray, J.B. Andrews and Y. Arikawa) ( link to journal) DOI 10.1016/S0022-0248(97)00177-2

StopWatch: A Module for Portable Measurement of Execution Time, Fortran Journal, 9 (1), 1997. (gzipped postscript, 61k) ( link to journal)

The Full Domain Partition Approach for Parallel Multigrid on Adaptive Grids, Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing, 1997. (gzipped postscript, 179k)

Refinement Tree Based Partitioning for Adaptive Grids, Proceedings of the 7th SIAM Conference on Parallel Processing for Scientific Computing, 1995, pp. 587-592. (gzipped postscript, 75k)

Review of "PLTMG: A Software Package for Solving Elliptic Partial Differential Equations, User's Guide 7.0", Math. Comp., 64, 1995, pp. 1343-1345. ( link to journal)

MGGHAT: Hierarchical Finite Element Multilevel Adaptive Solution of Elliptic Partial Differential Equations, Proceedings of the 14th IMACS World Congress on Computational and Applied Mathematics, 1994, pp. 356-359.

MGGHAT: Elliptic PDE Software with Adaptive Refinement, Multigrid and High Order Finite Elements, Proceedings of the Sixth Copper Mountain Conference on Multgrid Methods, N.D. Melson, T.A. Manteuffel and S.F. McCormick, Eds., NASA, 1993, pp. 439-448.

Parallel Pulse Correlation and Geolocation, Proceedings of the Fourth Symposium on the Frontiers of Massively Parallel Computation, IEEE Computer Society Press, 1992, pp. 541-542. (with D.K. Krecker)

Algorithm-based Fault Tolerance on the Connection Machine, in Advances in Computer Methods for Partial Differential Equations VII, R. Vichnevetsky, D. Knight and G. Richter, Eds., IMACS, 1992, pp. 526-531.

Optimal Multilevel Iterative Methods for Adaptive Grids, SIAM J. Sci. Statist. Comput., 13, 1992, pp. 146-167. ( link to journal) DOI 10.1137/0913009

Adaptive Refinement for Arbitrary Finite Element Spaces with Hierarchical Bases, J. Comp. Appl. Math., 36, 1991, pp. 65-78. ( link to journal) DOI 10.1016/0377-0427(91)90226-A

A Systolic Array for Kalman Filtering with Algorithm Based Fault Tolerance, in Advanced Signal Processing Algorithms, Architectures, and Implementations, SPIE Vol. 1348, 1990, pp. 450-461.

Optimal Multilevel Iterative Methods for Adaptive Grids, Preliminary Proceedings of Copper Mountain Conference on Iterative Methods, 1990.

A Nonsymmetric Nonhermitian Complex Matrix, Preliminary proceedings of Copper Mountain Conference on Iterative Methods, 1990. (with J. D'Angelo)

A Comparison of Adaptive Refinement Techniques for Elliptic Problems. ACM Trans. Math. Soft., 15, 1989, pp. 326-347. ( link to journal) DOI 10.1145/76909.76912

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) (pdf, 260K)

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) ( link to journal) DOI 10.1145/6187.6191

Algorithm 637 GENCOL:Collocation on General Domains with Bicubic Hermite Polynomials, ACM Trans. Math. Soft., 11, 1985, pp. 413-415. (with E.N. Houstis and J.R. Rice) ( link to journal) DOI 10.1145/6187.6194

Algorithm 638 INTCOL and HERMCOL: Collocation on Rectangular Domains with Bicubic Hermite Polynomials, ACM Trans. Math. Soft., 11, 1985, pp. 416-418. (with E.N. Houstis and J.R. Rice) ( link to journal) DOI 10.1145/6187.6195

Performance Evaluation of Algorithms for Mildly Nonlinear Elliptic Problems, Int. J. Num. Meth. Eng., 19, 1983, pp. 665-709. (with E.N. Houstis and T.S. Papatheodorou) ( link to journal) DOI 10.1002/nme.1620190505

A C1-collocation Method for Mildly Nonlinear Elliptic Equations on General 2-D Domains, in Advances in Computer Methods for Partial Differential Equations III, R. Vichnevetsky and R.S. Stepleman, Eds., IMACS, 1979, 18-27. (with E.N. Houstis and T.S. Papatheodorou)


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Date this page created: 2016
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