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Detalji o izabranom predavanju:
| Seminar: | Seminar za numeričku matematiku i znan. računanje |
| Naziv predavanja: | Auxiliary subspace techniques as a general-purpose approach for a posteriori error estimation in finite element methods |
| Predavač: | Jeffrey Ovall |
| Vrijeme: |
15.09.2016 12:15 |
| Predavaonica: | 104 |
| Tip: |
Gost seminara |
| Opis: | The a posteriori estimation of discretization error, both for driving a self-adaptive approximation algorithm and deciding when it should be terminated, has become an essential component of high-performance computing with finite elements. As such, it should not be surprising that several approaches have been developed for this task, with varying degrees of theoretical and empirical support. We will discuss a class of estimators in which the discretization error is approximated as a function in some appropriately-chosen auxiliary space. Having an approximate error function, as opposed to a collection of numbers associated with the computational cells of the discretization, allows for much more flexibility in how the error information can be used to adaptively improve the approximation. We will indicate the current state of theoretical analysis for this class of error estimators, and demonstrate its robustness on a variety of benchmark problems that we believe make a compelling case for its broader adoption. Although the focus of this talk is related to operators of diffusion-convection-reaction type (second-order, linear, elliptic operators), the basic principles of this kind of error estimation technique naturally carry over to other settings. |
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