Friday, November 17, 2023 - 12:00 in V2-210/216
Least squares formulations of PDEs suited for DNN discretisations
A talk in the BI.discrete Workshop series by
Rob Stevenson from Amsterdam
| Abstract: |
Usually well-posed least-squares formulations of PDEs contain residual terms that are measured in dual or fractional Sobolev norms. This seems always true in the case of having essential inhomogeneous boundary conditions. We show how to avoid the evaluation of those norms without sacrificing quasi-optimality. When doing so the treatment of fractional Sobolev norms requires the application of optimal preconditioners for the corresponding stiffness matrices, which are available in a finite element context. For the application of DNN’s we show how these fractional Sobolev norms can be completely avoided.
Within the CRC this talk is associated to the project(s): A7, B3, B7 |
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