A Posteriori Analysis and Improved Accuracy for an Operator Decomposition Solution of a Conjugate Heat Transfer Problem. - Donald J. Estep; Simon Tavener; Tim Wildey (SIAM J. Numer. Anal., 2008)

A posteriori error estimation and adaptive mesh refinement for a multiscale operator decomposition approach to fluid-solid heat transfer. - Donald J. Estep; Simon Tavener; Tim Wildey (J. Comput. Phys., 2010)

Efficient algorithms for multiscale modeling in porous media. - Mary F. Wheeler; Tim Wildey; Guangri Xue (Numer. Linear Algebra Appl., 2010)

A Posteriori Error Analysis of Stochastic Differential Equations Using Polynomial Chaos Expansions. - Troy D. Butler; Clint Dawson 001; Tim Wildey (SIAM J. Sci. Comput., 2011)

A Frozen Jacobian Multiscale Mortar Preconditioner for Nonlinear Interface Operators. - Benjamin Ganis; Gergina Pencheva; Mary F. Wheeler; Tim Wildey; Ivan Yotov (Multiscale Model. Simul., 2012)

A Posteriori Error Analysis of Parameterized Linear Systems Using Spectral Methods. - Troy D. Butler; Paul G. Constantine; Tim Wildey (SIAM J. Matrix Anal. Appl., 2012)

Propagation of Uncertainties Using Improved Surrogate Models. - Troy D. Butler; Clint Dawson 001; Tim Wildey (SIAM/ASA J. Uncertain. Quantification, 2013)

Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling. - Gergina Pencheva; Martin Vohralík; Mary F. Wheeler; Tim Wildey (SIAM J. Numer. Anal., 2013)

Adjoint Based A Posteriori Analysis of Multiscale Mortar Discretizations with Multinumerics. - Simon Tavener; Tim Wildey (SIAM J. Sci. Comput., 2013)

Preconditioning for Mixed Finite Element Formulations of Elliptic Problems. - Tim Wildey; Guangri Xue (Domain Decomposition Methods in Science and Engineering XX, 2013)

Approaches for Adjoint-Based A Posteriori Analysis of Stabilized Finite Element Methods. - Eric C. Cyr; John N. Shadid; Tim Wildey (SIAM J. Sci. Comput., 2014)

Enhancing adaptive sparse grid approximations and improving refinement strategies using adjoint-based a posteriori error estimates. - John D. Jakeman; Timothy Wildey (J. Comput. Phys., 2015)

Error Decomposition and Adaptivity for Response Surface Approximations from PDEs with Parametric Uncertainty. - Corey M. Bryant; Serge Prudhomme; Tim Wildey (SIAM/ASA J. Uncertain. Quantification, 2015)

Robust verification analysis. - William J. Rider; Walt Witkowski; James R. Kamm; Tim Wildey (J. Comput. Phys., 2016)

Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities. - John N. Shadid; Thomas M. Smith; Eric C. Cyr; Tim Wildey; Roger P. Pawlowski (J. Comput. Phys., 2016)

Dimension reduction in magnetohydrodynamics power generation models: Dimensional analysis and active subspaces. - Andrew G. Salinger; Paul G. Constantine; John N. Shadid; Timothy Wildey (Stat. Anal. Data Min., 2017)

Combining Push-Forward Measures and Bayes' Rule to Construct Consistent Solutions to Stochastic Inverse Problems. - Troy D. Butler; John D. Jakeman; Tim Wildey (SIAM J. Sci. Comput., 2018)

Convergence of Probability Densities Using Approximate Models for Forward and Inverse Problems in Uncertainty Quantification. - Troy D. Butler; John D. Jakeman; Tim Wildey (SIAM J. Sci. Comput., 2018)

Unified Geometric Multigrid Algorithm for Hybridized High-Order Finite Element Methods. - Tim Wildey; Sriramkrishnan Muralikrishnan; Tan Bui-Thanh (SIAM J. Sci. Comput., 2019)

aphBO-2GP-3B: A budgeted asynchronously-parallel multi-acquisition for known/unknown constrained Bayesian optimization on high-performing computing architecture. - Anh Tran; Scott McCann; John M. Furlan; Krishnan V. Pagalthivarthi; Robert J. Visintainer; Tim Wildey (CoRR, 2020)

Multiscale stochastic reduced-order model for uncertainty propagation using Fokker-Planck equation with microstructure evolution applications. - Anh Tran; Jing Sun; Dehao Liu; Tim Wildey; Yan Wang 029 (CoRR, 2020)

An active learning high-throughput microstructure calibration framework for solving inverse structure-process problems in materials informatics. - Anh Tran; John A. Mitchell; Laura P. Swiler; Tim Wildey (CoRR, 2020)

Multi-fidelity machine-learning with uncertainty quantification and Bayesian optimization for materials design: Application to ternary random alloys. - Anh Tran; Julien Tranchida; Tim Wildey; Aidan P. Thompson (CoRR, 2020)

Solving stochastic inverse problems for property-structure linkages using data-consistent inversion and machine learning. - Anh Tran; Tim Wildey (CoRR, 2020)

sMF-BO-2CoGP: A Sequential Multi-Fidelity Constrained Bayesian Optimization Framework for Design Applications. - Anh Tran; Tim Wildey; Scott McCann (J. Comput. Inf. Sci. Eng., 2020)

Erratum: "sMF-BO-2CoGP: A Sequential Multi-Fidelity Constrained Bayesian Optimization Framework for Design Applications" [ASME J. Comput. Inf. Sci. Eng., 20(3), p. 0031007; DOI: 10.1115/1.4046691]. - Anh Tran; Tim Wildey; Scott McCann (J. Comput. Inf. Sci. Eng., 2020)

Optimal experimental design for prediction based on push-forward probability measures. - Troy D. Butler; John D. Jakeman; Tim Wildey (J. Comput. Phys., 2020)

A Stochastic Reduced-Order Model for Statistical Microstructure Descriptors Evolution. - Anh Tran; Tim Wildey; Jing Sun; Dehao Liu; Yan Wang 029 (J. Comput. Inf. Sci. Eng., 2022)

A Distributions-based Approach for Data-Consistent Inversion. - Kirana Bergstrom; Troy Butler; Tim Wildey (CoRR, 2024)

R-Adaptive Mesh Optimization to Enhance Finite Element Basis Compression. - Graham Harper; Denis Ridzal; Tim Wildey (CoRR, 2024)

A Distributions-Based Approach for Data-Consistent Inversion. - Kirana Bergstrom; Troy D. Butler; Timothy Wildey (SIAM J. Sci. Comput., 2024)