N-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs
We consider diffusion in a random medium modeled as diffusion equation with lognormal Gaussian diffusion coefficient. Sufficient conditions on the log permeability are provided in order for a weak solution to exist in certain Bochner–Lebesgue spaces with respect to a Gaussian measure. The stochastic...
Saved in:
Main Authors: | Hoang, Viet Ha., Schwab, Christoph. |
---|---|
Other Authors: | School of Physical and Mathematical Sciences |
Format: | Article |
Language: | English |
Published: |
2014
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/101657 http://hdl.handle.net/10220/18709 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
Similar Items
-
Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs
by: Schwab, Christoph., et al.
Published: (2013) -
Sparse tensor Galerkin discretization of parametric and random parabolic PDEs - analytic regularity and generalized polynomial chaos approximation
by: Hoang, Viet Ha., et al.
Published: (2014) -
Regularity and generalized polynomial chaos approximation of parametric and random second-order hyperbolic partial differential equations
by: Hoang, Viet Ha., et al.
Published: (2013) -
Time-inconsistent control problems, path-dependent PDEs, and neural network approximation
by: Nguwi, Jiang Yu
Published: (2022) -
Analyticity, regularity, and generalized polynomial chaos approximation of stochastic, parametric parabolic two-scale partial differential equations
by: Hoang, Viet Ha
Published: (2022)