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Solver-based vs. grid-based multilevel Monte Carlo for two phase flow and transport in random heterogeneous porous media

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References

2008Multilevel Monte Carlo Path Simulation1,445 cited
2011Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients490 cited
2011Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients296 cited
2013Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods187 cited
2012Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data142 cited
2012Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions113 cited
2013Multilevel Monte Carlo for two phase flow and Buckley–Leverett transport in random heterogeneous porous media61 cited

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2019Multifidelity approaches for uncertainty quantification15 cited
2020Accelerated Multilevel Monte Carlo With Kernel‐Based Smoothing and Latinized Stratification15 cited
2021A generalized multi-fidelity simulation method using sparse polynomial chaos expansion

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