T. Butler

发表

Adjoint methods for uncertainty quantification in applied computational electromagnetics: FEM scattering examples

Branislav M. Notaroš, Cam Key, Aaron Smull, 2018, 2018 International Applied Computational Electromagnetics Society Symposium (ACES).

Adjoint-Based Uncertainty Quantification in Frequency-Domain Double Higher-Order FEM

Jake J. Harmon, Branislav M. Notaroš, D. Estep, 2019, 2019 International Applied Computational Electromagnetics Society Symposium (ACES).

Parameter estimation and prediction for groundwater contamination based on measure theory

Donald Estep, Velimir V. Vesselinov, Troy Butler, 2015 .

Enhancing piecewise‐defined surrogate response surfaces with adjoints on sets of unstructured samples to solve stochastic inverse problems

S. Mattis, T. Butler, 2019, International Journal for Numerical Methods in Engineering.

Data-consistent inversion for stochastic input-to-output maps

T. Wildey, T. Butler, T. Yen, 2020, Inverse Problems.

A Consistent Bayesian Formulation for Stochastic Inverse Problems Based on Push-forward Measures

J. D. Jakeman, J. Jakeman, T. Wildey, 2017, 1704.00680.

Solving Stochastic Inverse Problems using Sigma-Algebras on Contour Maps

C. Dawson, D. Estep, S. Tavener, 2014, 1407.3851.

A numerical method for solving a stochastic inverse problem for parameters.

D. Estep, T. Butler, D. Estep, 2013, Annals of nuclear energy.

A Measure-Theoretic Algorithm for Estimating Bottom Friction in a Coastal Inlet: Case Study of Bay St. Louis during Hurricane Gustav (2008)

J. Westerink, C. Dawson, T. Butler, 2017 .

Definition and solution of a stochastic inverse problem for the Manning’s n parameter field in hydrodynamic models

J. Westerink, C. Dawson, D. Estep, 2015, Advances in water resources.

A Posteriori Error Analysis of Parameterized Linear Systems Using Spectral Methods | SIAM Journal on Matrix Analysis and Applications | Vol. 33, No. 1 | Society for Industrial and Applied Mathematics

P. Constantine, T. Wildey, T. Butler, 2012 .

Adjoint Sensitivity Analysis for Uncertain Material Parameters in Frequency-Domain 3-D FEM

Jake J. Harmon, D. Estep, B. Notaroš, 2021, IEEE Transactions on Antennas and Propagation.

Parameter Estimation with Maximal Updated Densities

Clint N. Dawson, T. Butler, Michael Pilosov, 2022, 2212.04587.

Parameter Estimation with Maximal Updated Densities

Clint N. Dawson, T. Butler, Michael Pilosov, 2022, Computer Methods in Applied Mechanics and Engineering.

A Measure-Theoretic Computational Method for Inverse Sensitivity Problems I: Method and Analysis

J. Breidt, Troy D. Butler, Donald J. Estep, 2011, SIAM J. Numer. Anal..

Convergence of Probability Densities Using Approximate Models for Forward and Inverse Problems in Uncertainty Quantification

Tim Wildey, Troy D. Butler, John D. Jakeman, 2018, SIAM J. Sci. Comput..

Combining Push-Forward Measures and Bayes' Rule to Construct Consistent Solutions to Stochastic Inverse Problems

Tim Wildey, Troy D. Butler, John D. Jakeman, 2018, SIAM J. Sci. Comput..

Learning Quantities of Interest from Dynamical Systems for Observation-Consistent Inversion

Kyle R. Steffen, C. Dawson, D. Estep, 2020, Computer Methods in Applied Mechanics and Engineering.

What do we hear from a drum? A data-consistent approach to quantifying irreducible uncertainty on model inputs by extracting information from correlated model output data

Harri Hakula, Troy Butler, H. Hakula, 2020 .

Optimal experimental design for prediction based on push-forward probability measures

Tim Wildey, Troy Butler, John D. Jakeman, 2020, J. Comput. Phys..

A Measure-Theoretic Interpretation of Sample Based Numerical Integration with Applications to Inverse and Prediction Problems under Uncertainty

Troy Butler, L. Graham, S. Mattis, 2017, SIAM J. Sci. Comput..

Quantifying uncertainty in material damage from vibrational data

Antti Huhtala, Troy D. Butler, Mika Juntunen, 2014, J. Comput. Phys..

A Measure-Theoretic Computational Method for Inverse Sensitivity Problems III: Multiple Quantities of Interest

Simon Tavener, Donald Estep, Joannes J. Westerink, 2014, SIAM/ASA J. Uncertain. Quantification.

A Computational Measure Theoretic Approach to Inverse Sensitivity Problems II: A Posteriori Error Analysis

Troy D. Butler, Donald J. Estep, Jeff Sandelin, 2012, SIAM J. Numer. Anal..

Propagation of Uncertainties Using Improved Surrogate Models

Tim Wildey, Troy D. Butler, Clint Dawson, 2012, SIAM/ASA J. Uncertain. Quantification.

A Posteriori Error Analysis of Parameterized Linear Systems Using Spectral Methods

Tim Wildey, Paul G. Constantine, Troy D. Butler, 2012, SIAM J. Matrix Anal. Appl..

Data assimilation within the Advanced Circulation (ADCIRC) modeling framework for the estimation of Manning’s friction coefficient

Ibrahim Hoteit, Troy Butler, Clinton N Dawson, 2014 .

Adjoint-Based Accelerated Adaptive Refinement in Frequency Domain 3-D Finite Element Method Scattering Problems

D. Estep, B. Notaroš, C. Key, 2021, IEEE Transactions on Antennas and Propagation.

Data Assimilation within the Advanced Circulation (ADCIRC) Modeling Framework for Hurricane Storm Surge Forecasting

Ibrahim Hoteit, Troy Butler, Xiaodong Luo, 2012 .

A Posteriori Error Estimation and Adaptive Discretization Refinement Using Adjoint Methods in CEM: A Study With a 1-D Higher Order FEM Scattering Example

Branislav M. Notaros, Cam Key, Aaron Smull, 2020, IEEE Transactions on Antennas and Propagation.

A Posteriori Error Estimation and Adaptive Discretization Refinement Using Adjoint Methods in CEM : A Study with a One-Dimensional Higher-Order FEM Scattering Example

D. Estep, B. Notaroš, T. Butler, 2020 .

$L^p$ Convergence of Approximate Maps and Probability Densities for Forward and Inverse Problems in Uncertainty Quantification

T. Wildey, T. Butler, Wenjuan Zhang, 2022, International Journal for Uncertainty Quantification.

A Comparison of Ensemble Kalman Filters for Storm Surge Assimilation

Ibrahim Hoteit, Troy Butler, Xiaodong Luo, 2014 .

Data-driven uncertainty quantification for predictive flow and transport modeling using support vector machines

Clint Dawson, Troy Butler, Steven A. Mattis, 2018, Computational Geosciences.

Convergence of Probability Densities using Approximate Models for Forward and Inverse Problems in Uncertainty Quantification: Extensions to $L^p$

T. Wildey, T. Butler, Wenjuan Zhang, 2020, 2001.04369.

Improving short-range ensemble Kalman storm surge forecasting using robust adaptive inflation

Ibrahim Hoteit, Troy Butler, Xiaodong Luo, 2013 .