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Stochastic Modeling and Regularity of the Nonlinear Elliptic curl--curl Equation
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References

  • 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
  • 2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations869 cited
  • 2008An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data494 cited
  • 2010A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data400 cited
  • 2004Finite elements for elliptic problems with stochastic coefficients364 cited
  • 2006Karhunen–Loève approximation of random fields by generalized fast multipole methods355 cited
  • 2004Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation345 cited
  • 2002On solving elliptic stochastic partial differential equations198 cited
  • 2006Computational Modeling of Uncertainty in Time-Domain Electromagnetics119 cited
  • 2009Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients88 cited
  • 2007A fictitious domain approach to the numerical solution of PDEs in stochastic domains84 cited

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  • 2003SOLVING STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS BASED ON THE EXPERIMENTAL DATA70 cited
  • 2012A stochastic collocation method for the second order wave equation with a discontinuous random speed58 cited
  • 2013Quantification of Uncertainty in the Field Quality of Magnets Originating from Material Measurements19 cited
  • Cited by

    • 2018Robust optimisation formulations for the design of an electric machine11 cited
    • 2019Nonlinear magnetoquasistatic interface problem in a permanent-magnet machine with stochastic partial differential equation constraints10 cited