Conditioning of linear systems arising from penalty methods. ETNA - Electronic Transactions on Numerical Analysis
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25 avril 2023
- handle: 10670/1.whr1rx
- issn: 1068-9613
- doi: 10.1553/etna_vol58s394
info:eu-repo/semantics/openAccess
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Shuxian Xu et al., « Conditioning of linear systems arising from penalty methods. ETNA - Electronic Transactions on Numerical Analysis », Elektronisches Publikationsportal der Österreichischen Akademie der Wissenschafte, ID : 10.1553/etna_vol58s394
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Résumé
Penalizing incompressibility in the Stokes problem leads, under mildassumptions, to matrices with condition numbers $\kappa =\mathcal{O}(\varepsilon ^{-1}h^{-2})$, with $\varepsilon =$ penalty parameter $\ll1$ and$h= $ meshwidth $