A hybrid collocation-perturbation approach for PDEs with random domains

A stochastic collocation approach for parabolic PDEs with random domain deformations

(2021) Julio E. Castrillón-Candás et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness

(2017) M. Dambrine et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations

(2016) Julio E. Castrillón-Candás et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Analysis of the domain mapping method for elliptic diffusion problems on random domains

(2016) H. Harbrecht et al.   NUMERISCHE MATHEMATIK

Numerical Solution of the Poisson Equation on Domains with a Thin Layer of Random Thickness

(2016) M. Dambrine et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Computing quantities of interest for random domains with second order shape sensitivity analysis

(2015) Marc Dambrine et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: application to random elliptic PDEs

(2015) F. Nobile et al.   NUMERISCHE MATHEMATIK

High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs

(2013) Abdellah Chkifa et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

First order $k$-th moment finite element analysis of nonlinear operator equations with stochastic data

(2013) Alexey Chernov et al.   MATHEMATICS OF COMPUTATION

Controlling nanopore size, shape and stability

(2010) Michiel van den Hout et al.   NANOTECHNOLOGY

Sparse second moment analysis for elliptic problems in stochastic domains

(2008) Helmut Harbrecht et al.   NUMERISCHE MATHEMATIK

An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

(2008) F. Nobile et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

(2008) F. Nobile et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS