Strong and weak error estimates for the solutions of elliptic partial di erential equations with random coe cients

@inproceedings{Charrier2011StrongAW,
  title={Strong and weak error estimates for the solutions of elliptic partial di erential equations with random coe cients},
  author={Julia Charrier},
  year={2011}
}
We consider the problem of numerically approximating the solution of an elliptic partial di erential equation with random coe cients and homogeneous Dirichlet boundary conditions. We focus on the case of a lognormal coe cient, we have then to deal with the lack of uniform coercivity and uniform boundedness with respect to the randomness. This model is frequently used in hydrogeology. We approximate this coe cient by a nite dimensional noise using a truncated Karhunen-Loève expansion. We give… CONTINUE READING
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