Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

A Sparse Composite Collocation Finite Element Method for Elliptic SPDEs.

12 references·9 citing·28 second hop

FromToDepth

this work references cited by second hop

References

1991Stochastic Finite Elements: A Spectral Approach5,753 cited
2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
2008An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data494 cited
2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
2006Karhunen–Loève approximation of random fields by generalized fast multipole methods355 cited
2010Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs306 cited
2006Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients202 cited
2008Sparse high order FEM for elliptic sPDEs137 cited
2009Sparse Tensor Discretization of Elliptic sPDEs107 cited

Cited by

2016Multilevel Accelerated Quadrature for PDEs with Log-Normally Distributed Diffusion Coefficient28 cited
2015

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

Approximate methods for stochastic eigenvalue problems

27 cited

2016Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity23 cited

2017Stochastic Collocation Methods via $\ell_1$ Minimization Using Randomized Quadratures19 cited

2019IGA-based multi-index stochastic collocation for random PDEs on arbitrary domains13 cited

2022On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion11 cited

2014A heterogeneous stochastic FEM framework for elliptic PDEs10 cited

2011Stochastic Galerkin approximation of operator equations with infinite dimensional noise9 cited

2015A Sparse Grid Stochastic Collocation Method for Elliptic Interface Problems with Random Input8 cited