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- Tan Bui-Thanh, Karen Willcox, Omar Ghattas
- SIAM J. Scientific Computing
- 2008

A model-constrained adaptive sampling methodology is proposed for reduction of large-scale systems with high-dimensional parametric input spaces. Our model reduction method uses a reduced basisâ€¦ (More)

The application of proper orthogonal decomposition for incomplete (gappy) data for compressible external aerodynamic problems has been demonstrated successfully in this paper for the first time.â€¦ (More)

- Tan Bui-Thanh, Omar Ghattas, James Martin, Georg Stadler
- SIAM J. Scientific Computing
- 2013

We present a computational framework for estimating the uncertainty in the numerical solution of linearized infinite-dimensional statistical inverse problems. We adopt the Bayesian inferenceâ€¦ (More)

- Tan Bui-Thanh
- J. Comput. Physics
- 2015

Article history: Received 7 July 2014 Received in revised form 4 April 2015 Accepted 10 April 2015 Available online 16 April 2015

- Tan Bui-Thanh, Karen Willcox, Omar Ghattas, Bart G. van Bloemen Waanders
- J. Comput. Physics
- 2007

Optimization-oriented reduced-order models should target a particular output functional, span an applicable range of dynamic and parametric inputs, and respect the underlying governing equations ofâ€¦ (More)

We derive expressions for the shape Hessian operator of the data misfit functional corresponding to the inverse problem of inferring the shape of a scatterer from reflected acoustic waves, using aâ€¦ (More)

- Tan Bui-Thanh, Carsten Burstedde, Omar Ghattas, James Martin, Georg Stadler, Lucas C. Wilcox
- 2012 International Conference for Highâ€¦
- 2012

Quantifying uncertainties in large-scale simulations has emerged as the central challenge facing CS&E. When the simulations require supercomputers, and uncertain parameter dimensions are large,â€¦ (More)

- Shiwei Lan, Tan Bui-Thanh, Mike Christie, Mark A. Girolami
- J. Comput. Physics
- 2016

Article history: Received 22 July 2015 Received in revised form 17 November 2015 Accepted 14 December 2015 Available online 17 December 2015

- Lucas C. Wilcox, Georg Stadler, Tan Bui-Thanh, Omar Ghattas
- J. Sci. Comput.
- 2015

This paper discusses the computation of derivatives for optimization problems governed by linear hyperbolic systems of partial differential equations (PDEs) that are discretized by the discontinuousâ€¦ (More)

Continuing our previous work [6, Inverse Problems, 2012, 28, 055002] and [5, Inverse Problems, 2012, 28, 055001], we address the ill-posedness of the inverse scattering problem of electromagneticâ€¦ (More)