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Contact Information
Senior Member of R&D Staff
Tim Wildey
(505) 844-0760

Mailing address
Sandia National Laboratories
P.O. Box 5800, MS 1318
Albuquerque, NM 87185-1318

Useful links
CCIM
CSRI
The Institute for Computational Engineering and Sciences
Colorado State University

Publications and Reports

Submitted Articles

  1. T. Butler and T. Wildey, Adaptive Enhancement of Surrogate Models to Accurately Predict the Probabilities of Events, Submitted to SIAM/ASA J. Uncert. Quant. 2014.
  2. E. Cyr, J. Shadid, and T. Wildey. Efficient Adjoint Based a posteriori Error Estimation using Data Compression, Submitted to CMAME 2014.
  3. J. Jakeman and T. Wildey. Enhancing adaptive sparse grid approximations and refinement using a-posteriori error estimation, Submitted to J. Comput. Phys. 2013.
  4. C. Bryant, S. Prudhomme, and T. Wildey, A posteriori Error Control for Partial Differential Equations with Random Data, Submitted to SIAM/ASA J. Uncert. Quant. 2013.
  5. T. Wildey. A Posteriori Error Analysis of Interior Penalty Discontinuous Galerkin Methods, Submitted to Int. J. Numer. Model. Engrg. 2012.

Articles and Proceedings

  1. P. Constantine, E. Phipps, and T. Wildey, Efficient uncertainty propagation for network multiphysics systems, Accepted for publication in Int. J. Numer. Model. Engrg. 2014
  2. E. Cyr, J. Shadid, and T. Wildey. A posteriori Analysis of Stabilized Finite Element Methods, Accepted for publication in SIAM. J. Sci. Comput. 2014.
  3. S. Tavener and T. Wildey, A Posteriori Error Estimates for Multiscale Mortar Discretizations, SIAM. J. Sci. Comput. 35(6), 2013. pp. A2621-A2642.
  4. T. Butler, C. Dawson, T. Wildey. Propagation of Uncertainties Using Improved Surrogate Model, SIAM/ASA Journal on Uncertainty Quantification, 1 (2013), pp. 164-191.
  5. G. Pencheva, M. Vohralik, M.F. Wheeler, T. Wildey. Certified a posteriori error estimates for multiscale, multinumerics, and mortar coupling, SIAM J. Numer. Anal. 51, 1 (2013), pp. 526-554.
  6. T. Wildey, G. Xue. Preconditioning for Mixed Finite Element Formulations of Elliptic Problems, in Domain Decomposition Methods in Science and Engineering XX, (2013), pp. 175-182, Springer.
  7. T. Butler, P. Constantine, T. Wildey. A Posteriori Error Analysis of Parameterized Linear Systems Using Spectral Methods, SIAM. J. Matrix Anal. Appl. 33, (2012) pp. 195-209.
  8. B. Ganis, G. Pencheva, M.F. Wheeler, T. Wildey, I. Yotov. A frozen Jacobian multiscale preconditioner for nonlinear interface operators, Multiscale Model. Simul., 10(3), (2012) pp. 853-873.
  9. T. Butler, C. Dawson, T. Wildey. A posteriori analysis of stochastic differential equation utilizing polynomial chaos expansions, SIAM J. Sci. Comput. 33, (2011) pp. 1267-1291.
  10. V. Girault, G. Pencheva, M.F. Wheeler, T. Wildey. Domain decomposition for poroelasticity and elasticity with DG jumps and mortars, M3AS., 21 (2011) pp. 169-213.
  11. M.F. Wheeler, T. Wildey, I. Yotov. A multiscale preconditioner for multiscale mortar mixed finite elements. Comp. Meth. in Appl. Mech. and Engng., 200 (2011) pp. 1251-1262.
  12. M.F. Wheeler, T. Wildey, and G. Xue. Recent Advances in Multiscale Mortar Methods, Numerical Linear Algebra with Applications, Vol. 17, 2010, pp. 771-785.
  13. M.F. Wheeler, M. Delshad, X. Kong, S. Thomas, T. Wildey, G. Xue. Role of Computational Science in Protecting the Environment: Geological Storage of CO2, Proceedings of the International Congress of Mathematicians (Hyderabad, India, August 2010), Vol. IV, Hindustan Book Agency, 2010, pp. 2864-2885.
  14. D. Estep, S. Tavener, T. Wildey. A posteriori error estimation and adaptive mesh refinement for a multi-discretization operator decomposition approach to fluid-solid heat transfer. Journal of Computational Physics, 229 (2010), pp. 4143-4158.
  15. V. Girault, G. Pencheva, M.F. Wheeler, T. Wildey. Domain decomposition for linear elasticity with DG jumps and mortars. Comp. Meth. in Appl. Mech. and Engng., 198 (2009) pp. 1751-1765.
  16. D. Estep, S. Tavener, T. Wildey. A posteriori error analysis for a transient conjugate heat transfer problem. Finite Elements in Analysis and Design, 45 (2009) pp. 263-271.
  17. B. Ganis, H. Klie, M.F. Wheeler, T. Wildey, I. Yotov, and D. Zhang, Stochastic collocation and mixed finite elements for flow in porous media, Comp. Meth. in Appl. Mech. and Engng., 197 (2008) pp. 3547-3559.
  18. D. Estep, V. Carey, V. Ginting, S. Tavener, T. Wildey, A posteriori error analysis of multiscale operator decomposition methods for multiphysics models, Journal of Physics: Conference Series 125 (2008), pp. 1-16.
  19. D. Estep, S. Tavener, T. Wildey, A posteriori analysis and improved accuracy for an operator decomposition solution of a conjugate heat transfer problem, SIAM J. Numer. Anal., 46 (2008), pp. 2068-2089.
  20. T. Wildey, S. Tavener, and D. Estep, A posteriori error estimation of approximate boundary fluxes, Communications in Numerical Methods in Engineering, 24 (2008), pp. 421-434.
  21. J.R. Cary, J. Candy, R.H. Cohen, S. Krasheninnikov, D.C. McCune, D.J. Estep, J. Larson, A.D. Malony, P.H. Worley, J.A. Carlsson, A.H. Hakim, P. Hamill, S. Kruger, S. Muzsala, A. Pletzer, S. Shasharina, D. Wade-Stein, N. Wang, L. McInnes, T. Wildey, T. Casper, L. Diachin, T. Epperly, T.D. Rognlien, M.R. Fahey, J.A. Kuehn, A. Morris, S. Shende, E. Feibush, G.W. Hammett, K. Indireshkumar, C. Ludescher, L. Randerson, D. Stotler, A. Yu Pigarov, P. Bonoli, C.S. Chang, D.A. D'Ippolito, P. Colella, D.E. Keyes, R. Bramley and J.R. Myra, Introducing FACETS, the Framework Application for Core-Edge Transport Simulations, Journal of Physics: Conference Series 78(1), (2007).

Drafts and Articles in Preparation

  1. T. Wildey, A Dirichlet-to-Neumann Multigrid Algorithm for Multinumerics, Will be submitted to SIAM J. Numer. Anal. 2013.
  2. T. Butler, D. Estep, S. Tavener, T. Wildey, C. Dawson, and L. Graham. Solving Stochastic Inverse Problems using Sigma-Algebras on Contour Maps, Will be submitted to SIAM/ASA J. Uncert. Quant. 2013.

Theses and Reports

  1. W.J. Rider, G. Weirs, and T. Wildey Does Solution Adaptivity Help or Hinder Solution Verification?, September 2013, SAND2013-7920.
  2. T. Wildey, E.C. Cyr, R. Pawlowski, J. Shadid, T. Smith. A Comparison of Adjoint and Data-Centric Verification Techniques, April 2013, SAND2013-2879.
  3. T. Wildey, E.C. Cyr, R. Pawlowski, J. Shadid, T. Smith. Adjoint Based a posteriori Error Estimation in Drekar::CFD, October 2012, SAND2012-8910.
  4. M.S. Eldred and T. Wildey. Propagation of Model Form Uncertainty for Thermal Hydraulics using RANS Turbulence Models in Drekar, July 2012, SAND2012-5845.
  5. L.P. Swiler, T. Wildey, and K. Dalbey, Uncertainty Assessment in Atmospheric Component of Climate Models, October 2011, SAND2011-8310.
  6. D. Estep, S. Tavener, T. Wildey. The preconditioned Newton-Krylov iterations for coupled multiphysics problems, December 2008.
  7. T. Wildey. A posteriori analysis of operator decomposition in interface problems, Ph.D Thesis August 2007.
  8. T. Wildey. A pseudospectral method for the globally coupled Ginzburg-Landau equations in 2D, M.S. Thesis August 2004.