Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

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

First order second moment analysis for stochastic interface problems based on low-rank approximation

16 references·7 citing·33 second hop

FromToDepth

this work references cited by second hop

References

1991Stochastic Finite Elements: A Spectral Approach5,753 cited
2016Numerical solution of stochastic differential equations5,001 cited
2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations869 cited
2014Stochastic Integration and Differential Equations : A New Approach686 cited
2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
2004Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes451 cited
2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
2010A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data400 cited
1993The stochastic finite element method: basic perturbation technique and computer implementation400 cited
2004Finite elements for elliptic problems with stochastic coefficients364 cited
2006Karhunen–Loève approximation of random fields by generalized fast multipole methods355 cited
2011Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients

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

296 cited

2002On solving elliptic stochastic partial differential equations198 cited

2006Numerical Methods for Differential Equations in Random Domains163 cited

Cited by

2016Uncertainty Quantification31 cited
2015Multi-level Monte Carlo weak Galerkin method for elliptic equations with stochastic jump coefficients25 cited
2021EMBEDDED MULTILEVEL MONTE CARLO FOR UNCERTAINTY QUANTIFICATION IN RANDOM DOMAINS18 cited
2016Numerical Solution of the Poisson Equation on Domains with a Thin Layer of Random Thickness16 cited
2020A domain mapping approach for elliptic equations posed on random bulk and surface domains13 cited
2017The second order perturbation approach for elliptic partial differential equations on random domains12 cited
2015Numerical Approximation of the Magnetoquasistatic Model with Uncertainties and its Application to Magnet Design10 cited