Sparse tensor Galerkin discretization of parametric and random parabolic PDEs - analytic regularity and generalized polynomial chaos approximation

• Main Authors: Hoang, Viet Ha., Schwab, Christoph.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Science::Mathematics::Analytic mechanics
• Online Access: https://hdl.handle.net/10356/100698; http://hdl.handle.net/10220/18460
• Institution: Nanyang Technological University

For initial boundary value problems of linear parabolic partial differential equations with random coefficients, we show analyticity of the solution with respect to the parameters and give an a priori error analysis for N-term generalized polynomial chaos approximations in a scale of Bochner spaces...