Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M. |
|
2013
|
\(N\)-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs. Zbl 1294.65010
Hoang, Viet Ha; Schwab, Christoph |
|
2014
|
An efficient hierarchical multiscale finite element method for Stokes equations in slowly varying media. Zbl 1267.74096
Brown, Donald L.; Efendiev, Yalchin; Hoang, Viet Ha |
|
2013
|
Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs. Zbl 1259.49059
Hoang, V. H.; Schwab, CH. |
|
2013
|
Sparse tensor Galerkin discretization of parametric and random parabolic PDEs—analytic regularity and generalized polynomial chaos approximation. Zbl 1285.35137
Hoang, Viet Ha; Schwab, Christoph |
|
2013
|
Multiscale simulations for upscaled multi-continuum flows. Zbl 1435.65208
Park, Jun Sur Richard; Cheung, Siu Wun; Mai, Tina; Hoang, Viet Ha |
|
2020
|
Sparse finite element method for periodic multiscale nonlinear monotone problems. Zbl 1185.35014
Hoang, Viet Ha |
|
2008
|
Regularity and generalized polynomial chaos approximation of parametric and random second-order hyperbolic partial differential equations. Zbl 1251.35197
Hoang, Viet Ha; Schwab, Christoph |
|
2012
|
High-dimensional finite elements for multiscale Maxwell-type equations. Zbl 1406.65108
Chu, Van Tiep; Hoang, Viet Ha |
|
2018
|
Hierarchical multiscale finite element method for multi-continuum media. Zbl 1457.74182
Park, Jun Sur Richard; Hoang, Viet Ha |
|
2020
|
High dimensional finite element method for multiscale nonlinear monotone parabolic equations. Zbl 1402.65118
Tan, Wee Chin; Hoang, Viet Ha |
|
2019
|
High dimensional finite elements for multiscale wave equations. Zbl 1316.35025
Xia, Bingxing; Hoang, Viet Ha |
|
2014
|
High-dimensional finite element method for multiscale linear elasticity. Zbl 1329.74293
Xia, Bingxing; Hoang, Viet Ha |
|
2015
|
Analysis of a multilevel Markov chain Monte Carlo finite element method for Bayesian inversion of log-normal diffusions. Zbl 1491.65010
Hoang, Viet Ha; Quek, Jia Hao; Schwab, Christoph |
|
2020
|
Sparse tensor finite elements for elastic wave equation with multiple scales. Zbl 1326.74125
Xia, Bingxing; Hoang, Viet Ha |
|
2015
|
Determining white noise forcing from Eulerian observations in the Navier-Stokes equation. Zbl 1310.60095
Hoang, Viet Ha; Law, Kody J. H.; Stuart, Andrew M. |
|
2014
|
High dimensional finite elements for two-scale Maxwell wave equations. Zbl 1435.78018
Chu, Van Tiep; Hoang, Viet Ha |
|
2020
|
High dimensional finite elements for time-space multiscale parabolic equations. Zbl 1419.65071
Tan, Wee Chin; Hoang, Viet Ha |
|
2019
|
Multilevel Markov chain Monte Carlo for Bayesian inversion of parabolic partial differential equations under Gaussian prior. Zbl 1465.65006
Hoang, Viet Ha; Quek, Jia Hao; Schwab, Christoph |
|
2021
|
Homogenization of a multiscale multi-continuum system. Zbl 07510759
Park, Jun Sur Richard; Hoang, Viet Ha |
|
2022
|
Random homogenization and singular perturbations in perforated domains. Zbl 0979.35018
Hoàng, Viet Hà |
|
2000
|
Reconciling Bayesian and perimeter regularization for binary inversion. Zbl 1455.62084
Dunbar, Oliver R. A.; Dunlop, Matthew M.; Elliott, Charles M.; Hoang, Viet Ha; Stuart, Andrew M. |
|
2020
|
A hierarchical finite element Monte Carlo method for stochastic two-scale elliptic equations. Zbl 1365.65012
Brown, Donald L.; Hoang, Viet Ha |
|
2017
|
Bayesian inverse problems in measure spaces with application to Burgers and Hamilton-Jacobi equations with white noise forcing. Zbl 1236.93149
Hoang, Viet Ha |
|
2012
|
Polynomial approximations of a class of stochastic multiscale elasticity problems. Zbl 1388.35007
Hoang, Viet Ha; Nguyen, Thanh Chung; Xia, Bingxing |
|
2016
|
Best \(N\)-term gpc approximations for a class of stochastic linear elasticity equations. Zbl 1291.60139
Xia, Bingxing; Hoang, Viet Ha |
|
2014
|
Singularly perturbed Dirichlet problems in randomly perforated domains. Zbl 0946.35025
Viêt Hà Hoàng |
|
2000
|
Sparse tensor product finite element method for nonlinear multiscale variational inequalities of monotone type. Zbl 1466.65203
Tan, Wee Chin; Hoang, Viet Ha |
|
2020
|
Reduction of dimension for diffusion in a perforated thin plate. Zbl 1145.74033
Hoang, Viet Ha |
|
2007
|
Homogenization of the Stokes flow with small viscosity in a non-periodic porous medium. Zbl 1051.35014
Hoàng, Viêt Hà |
|
2002
|
Homogenization for advection-diffusion in a perforated domain. Zbl 1222.60059
Haynes, P. H.; Hoang, V. H.; Norris, J. R.; Zygalakis, K. C. |
|
2010
|
Homogenization of a multiscale multi-continuum system. Zbl 07510759
Park, Jun Sur Richard; Hoang, Viet Ha |
|
2022
|
Multilevel Markov chain Monte Carlo for Bayesian inversion of parabolic partial differential equations under Gaussian prior. Zbl 1465.65006
Hoang, Viet Ha; Quek, Jia Hao; Schwab, Christoph |
|
2021
|
Multiscale simulations for upscaled multi-continuum flows. Zbl 1435.65208
Park, Jun Sur Richard; Cheung, Siu Wun; Mai, Tina; Hoang, Viet Ha |
|
2020
|
Hierarchical multiscale finite element method for multi-continuum media. Zbl 1457.74182
Park, Jun Sur Richard; Hoang, Viet Ha |
|
2020
|
Analysis of a multilevel Markov chain Monte Carlo finite element method for Bayesian inversion of log-normal diffusions. Zbl 1491.65010
Hoang, Viet Ha; Quek, Jia Hao; Schwab, Christoph |
|
2020
|
High dimensional finite elements for two-scale Maxwell wave equations. Zbl 1435.78018
Chu, Van Tiep; Hoang, Viet Ha |
|
2020
|
Reconciling Bayesian and perimeter regularization for binary inversion. Zbl 1455.62084
Dunbar, Oliver R. A.; Dunlop, Matthew M.; Elliott, Charles M.; Hoang, Viet Ha; Stuart, Andrew M. |
|
2020
|
Sparse tensor product finite element method for nonlinear multiscale variational inequalities of monotone type. Zbl 1466.65203
Tan, Wee Chin; Hoang, Viet Ha |
|
2020
|
High dimensional finite element method for multiscale nonlinear monotone parabolic equations. Zbl 1402.65118
Tan, Wee Chin; Hoang, Viet Ha |
|
2019
|
High dimensional finite elements for time-space multiscale parabolic equations. Zbl 1419.65071
Tan, Wee Chin; Hoang, Viet Ha |
|
2019
|
High-dimensional finite elements for multiscale Maxwell-type equations. Zbl 1406.65108
Chu, Van Tiep; Hoang, Viet Ha |
|
2018
|
A hierarchical finite element Monte Carlo method for stochastic two-scale elliptic equations. Zbl 1365.65012
Brown, Donald L.; Hoang, Viet Ha |
|
2017
|
Polynomial approximations of a class of stochastic multiscale elasticity problems. Zbl 1388.35007
Hoang, Viet Ha; Nguyen, Thanh Chung; Xia, Bingxing |
|
2016
|
High-dimensional finite element method for multiscale linear elasticity. Zbl 1329.74293
Xia, Bingxing; Hoang, Viet Ha |
|
2015
|
Sparse tensor finite elements for elastic wave equation with multiple scales. Zbl 1326.74125
Xia, Bingxing; Hoang, Viet Ha |
|
2015
|
\(N\)-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs. Zbl 1294.65010
Hoang, Viet Ha; Schwab, Christoph |
|
2014
|
High dimensional finite elements for multiscale wave equations. Zbl 1316.35025
Xia, Bingxing; Hoang, Viet Ha |
|
2014
|
Determining white noise forcing from Eulerian observations in the Navier-Stokes equation. Zbl 1310.60095
Hoang, Viet Ha; Law, Kody J. H.; Stuart, Andrew M. |
|
2014
|
Best \(N\)-term gpc approximations for a class of stochastic linear elasticity equations. Zbl 1291.60139
Xia, Bingxing; Hoang, Viet Ha |
|
2014
|
Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M. |
|
2013
|
An efficient hierarchical multiscale finite element method for Stokes equations in slowly varying media. Zbl 1267.74096
Brown, Donald L.; Efendiev, Yalchin; Hoang, Viet Ha |
|
2013
|
Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs. Zbl 1259.49059
Hoang, V. H.; Schwab, CH. |
|
2013
|
Sparse tensor Galerkin discretization of parametric and random parabolic PDEs—analytic regularity and generalized polynomial chaos approximation. Zbl 1285.35137
Hoang, Viet Ha; Schwab, Christoph |
|
2013
|
Regularity and generalized polynomial chaos approximation of parametric and random second-order hyperbolic partial differential equations. Zbl 1251.35197
Hoang, Viet Ha; Schwab, Christoph |
|
2012
|
Bayesian inverse problems in measure spaces with application to Burgers and Hamilton-Jacobi equations with white noise forcing. Zbl 1236.93149
Hoang, Viet Ha |
|
2012
|
Homogenization for advection-diffusion in a perforated domain. Zbl 1222.60059
Haynes, P. H.; Hoang, V. H.; Norris, J. R.; Zygalakis, K. C. |
|
2010
|
Sparse finite element method for periodic multiscale nonlinear monotone problems. Zbl 1185.35014
Hoang, Viet Ha |
|
2008
|
Reduction of dimension for diffusion in a perforated thin plate. Zbl 1145.74033
Hoang, Viet Ha |
|
2007
|
Homogenization of the Stokes flow with small viscosity in a non-periodic porous medium. Zbl 1051.35014
Hoàng, Viêt Hà |
|
2002
|
Random homogenization and singular perturbations in perforated domains. Zbl 0979.35018
Hoàng, Viet Hà |
|
2000
|
Singularly perturbed Dirichlet problems in randomly perforated domains. Zbl 0946.35025
Viêt Hà Hoàng |
|
2000
|