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Some publications
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B. X. Xia and V. H. Hoang (2015), High
dimensional finite element method for multiscale linear elasticity, IMA Journal of Numerical Analysis,
doi: 10.1093/imanum/dru033.
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B. X. Xia and V. H. Hoang (2015), Sparse tensor finite elements for elastic wave
equation with multiple scales. Journal
of Computational and Applied Mathematics, 282, 179-214.
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B. X. Xia and V. H. Hoang (2014),
High dimensional finite elements for multiscale wave equation, SIAM Multiscale Modelling and
Simulation, 4, 1622-1666
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V. H. Hoang, K. J. H. Law and A.
M. Stuart (2014), Determining white noise forcing from Eulerian
observations in the Navier-Stokes equation, Stochastic Partial Differential
Equations, 2, 233-261.
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V. H. Hoang and Ch. Schwab (2013),
N-term Wiener chaos approximation rates for elliptic PDEs with lognormal
Gaussian random input, Mathematical
Models and Methods in Applied Sciences, 24, 797-826.
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V. H. Hoang and Ch. Schwab (2013),
Sparse tensor Galerkin discretization of parametric
and random parabolic PDEs -- analytic regularity and generalized
polynomial chaos, SIAM Journal of
Mathematical Analysis, 45, 3050-3083.
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V. H. Hoang, Ch. Schwab and A. M.
Stuart (2013), Complexity analysis of accelerated MCMC methods for
Bayesian inversion, Inverse
Problems, 29, 085010, 37pp.
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B. X. Xia and V. H. Hoang (2013),
Best N-term GPC approximations for a class of stochastic linear
elasticity equations, M3AS:
Mathematical Models and Methods in Applied Sciences, 24,
513-552.
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D. Brown, Y. Efendiev and V. H.
Hoang (2013), An efficient multiscale finite element method for Stokes
equations in slowly varying media, SIAM
Multiscale Modelling and Simulation, 11, 30-58.
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V. H. Hoang and Ch. Schwab (2013),
Analytic regularity and polynomial approximation of stochastic,
parametric elliptic multiscale PDEs, Analysis
and Applications, 11, 1-50.
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V. H. Hoang and Ch. Schwab (2012),
Analytic regularity and generalized polynomial chaos approximation for
parametric and random 2nd order hyperbolic partial differential
equations, Analysis and
Applications, 10, 295-326.
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V. H. Hoang (2012), Bayesian
inverse problems in measure spaces with application to Burgers and
Hamilton-Jacobi equations with white noise forcing, Inverse Problems, 28, 025009.
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P. H. Haynes, V. H. Hoang, J. R. Norris and K. Zygalakis
(2010), Homogenization for advection-diffusion in a perforated domain,
in Probability and Mathematical Genetics, Papers in honours of Sir
John Kingman, 396-414, Cambridge University Press.
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V. H. Hoang (2009), Bounds for the
effective stress of classical and strain gradient plastic composites, SIAM. J. Appl. Maths, 69,
1598-1617.
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V. H. Hoang (2009), Stress-elastic
strain relation for a two phase isotropic plastic composite, European J. Appl. Math. 20,
319-342.
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V. H. Hoang (2008),
High-dimensional finite elements for periodic monotone nonlinear elliptic
problems with multiple scales. SIAM
Multiscale Modelling and Simulation, 7, 1042-1072.
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V. H. Hoang (2007), Reduction of
dimension for diffusion in perforated thin plate, Proceedings of the Royal Society of Edinburgh: Section A, 137,
1037-1057.
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V. H. Hoang and Ch. Schwab (2005)
High-dimensional finite elements for elliptic problems with multiple
scales, SIAM Multiscale Modelling
and Simulation, 3, 168-194.
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V. H. Hoang (2004), Diffusion in a
highly heterogeneous thin domain, Asymptotic
Analysis, 39, 147-167.
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V. H. Hoang and K. Khanin (2003), Random Burgers equation and Lagrangian systems in non-compact domains, 16,
819-842.
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V. H. Hoang and R. V. Craster (2002), Pseudo steady state solution for
solidification inside a wedge with mixed boundary conditions, IMA Journal of Applied Mathematics,
67, 509-524.
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V. H. Hoang (2002), Homogenization
of the Stokes flow with small viscosity in a non-periodic porous medium, Rendiconti matematica,
22, 223-248.
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V. H. Hoang (2000), Random
homogenization and singular perturbations in perforated domains, Communications in
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Mathematical
Physics, 214, 411-428.
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V. H. Hoang (2000), Singularly perturbed Dirichlet
problems in randomly perforated domains, Communications in Partial Differential Equations, 25,
355-375.
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V. H. Hoang (2000), Homogenization
of singularly perturbed Dirichlet problems in
perforated domains, Proceedings of
the Royal Society of Edinburgh: Section A, 130A,
35-51.
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V. H. Hoang, J. M. Hill and J. N. Dewynne (1998), Pseudo steady state solutions for
solidification in a wedge, IMA
Journal of Applied Mathematics, 60, 109-121.
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R. V. Craster
and V. H. Hoang (1998), Applications of Fuchsian
differential equations to free boundary problems. Proceedings of the Royal Society of London A, 454,
1241-1252.
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