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math.NA2015
Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients
Markus Bachmayr, Albert Cohen, Ronald DeVore +1
Elliptic partial differential equations with diffusion coefficients of lognormal form, that is , where is a Gaussian random field, are considered. We study the $\ell^…
math.NA2015
Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients
Markus Bachmayr, Albert Cohen, Giovanni Migliorati
We consider elliptic partial differential equations with diffusion coefficients that depend affinely on countably many parameters. We study the summability properties of polynomial…