1 citations · 1 across the 7 of their papers we have counts for
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Elliptic PDEs on log-Gaussian Shapes: Sparsity and Finite Element Discretization
Dinh Dũng, Helmut Harbrecht, Van Kien Nguyen +1
In this article, we consider the solution to elliptic diffusion problems on a class of random domains obtained by log-Gaussian random homothety of the unit disk respectively an ann…
Piecewise-polynomial interpolations and quadratures for parametric PDEs with log-Laplace random inputs
Dinh Dũng
We establish a sparsity in terms of -summability and weighted -summability for the coefficients of the Laguerre generalized piecewise-polynomial chaos expansion of…
Sparsity for parametric PDEs with log-gamma random inputs and applications
Dinh Dũng, Van Kien Nguyen, Viet Ha Hoang
We propose a novel method for establishing the sparsity of the coefficients of the Laguerre generalized polynomial chaos expansion of solutions to parametric elliptic PDEs with log…
Approximation of PDE solution manifolds: Sparse-grid interpolation and quadrature
Dinh Dũng, Van Kien Nguyen, Duong Thanh Pham +1
We study fully-discrete approximations and quadratures of infinite-variate functions in abstract Bochner spaces associated with a Hilbert space and an infinite-tensor-product J…