Pointwise error estimates for a generalized Oseen problem and an application to an optimal control problem |
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Authors: | Alejandro Allendes Gilberto Campaa Erwin Hernndez |
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Institution: | Alejandro Allendes,Gilberto Campaña,Erwin Hernández |
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Abstract: | We derive pointwise error estimates for a generalized Oseen when it is approximated by a low order Taylor‐Hood finite element scheme in two dimensions. The analysis is based on estimates for regularized Green's functions associated with a generalized Oseen problem on weighted Sobolev spaces and weighted interpolation results. We apply the maximum norm results to obtain convergence in an optimal control problem governed by a generalized Oseen equation and present a numerical example that allows us to show the behavior of the error. |
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Keywords: | generalized Oseen optimal control pointwise error estimates |
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