Anova Expansions and Efficient Sampling Methods for Parameter Dependent Nonlinear Pdes

@inproceedings{Cao2009AnovaEA,
  title={Anova Expansions and Efficient Sampling Methods for Parameter Dependent Nonlinear Pdes},
  author={Yanzhao Cao and Zheng Chen and Max Gunzburger},
  year={2009}
}
The impact of parameter dependent boundary conditions on solutions of a class of nonlinear partial differential equations and on optimization problems constrained by such equations is considered. The tools used to gain insights about these issues are the Analysis of Variance (ANOVA) expansion of functions and the related notion of the effective dimension of a function; both concepts are reviewed. The effective dimension is then used to study the accuracy of truncated ANOVA expansions. Then… CONTINUE READING

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