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Speeding Up SSFEM Computation Using Kronecker Tensor Products

Roman Gaignaire · Frédéric Guyomarc'h · Olivier Moreau · Stephane Clenet · Bruno Sudret

8 citations0/0 files storedIEEE Transactions on Magnetics

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Probabilistic and Robust Engineering Design Advanced Numerical Methods in Computational Mathematics Electromagnetic Simulation and Numerical Methods

Abstract

The spectral stochastic finite-element method makes it possible to convey some random aspects of input data to the output data. However, the system size dramatically increases with the number of input random variables. Using matrix Kronecker tensor products for system solving noticeably reduces the computation time and the storage requirements.

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References

2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations 20073-D Spectral Stochastic Finite Element Method in Electromagnetism 20063D Spectral Stochastic Finite Element Method in Electromagnetism 2008Current Calculation in Electrokinetics Using a Spectral Stochastic Finite Element Method

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