# Basis adaptation and domain decomposition for steady-state partial differential equations with random coefficients

@article{Tipireddy2017BasisAA, title={Basis adaptation and domain decomposition for steady-state partial differential equations with random coefficients}, author={Ramakrishna Tipireddy and P. Stinis and A. Tartakovsky}, journal={J. Comput. Phys.}, year={2017}, volume={351}, pages={203-215} }

Abstract We present a novel approach for solving steady-state stochastic partial differential equations in high-dimensional random parameter space. The proposed approach combines spatial domain decomposition with basis adaptation for each subdomain. The basis adaptation is used to address the curse of dimensionality by constructing an accurate low-dimensional representation of the stochastic PDE solution (probability density function and/or its leading statistical moments) in each subdomain… CONTINUE READING

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