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dc.contributor.authorPhan, Xuan Thanh-
dc.contributor.authorSteinbach, Olaf-
dc.date.accessioned2024-05-23T08:05:53Z-
dc.date.available2024-05-23T08:05:53Z-
dc.date.issued2020-
dc.identifier.issn0251-4184-
dc.identifier.urihttps://dspace.ctu.edu.vn/jspui/handle/123456789/100892-
dc.description.abstractVariational methods coupled with Tikhonov's regularization for solving the cauchy problem for Poisson's equation are suggested and studied. The novel idea is to use the Tikhonov regularization term in H½ norm rather than in L₂ norm. The penalty term is evaluated by some appropriate boundary integral operators. The optimality condition in the form of boundary integral equations is derived and then discretized by the Galerkin boundary element method. The error estimates for the discretized problems are proved for noisy data. Some numerical examples and comparisons with the L₂ setting are presented for showing the efficiency of our approaches.vi_VN
dc.language.isoenvi_VN
dc.relation.ispartofseriesActa mathematica Vietnamica journal;Vol.45, No.03 .- P.693-707-
dc.subjectCauchy problemvi_VN
dc.subjectVariational methodvi_VN
dc.subjectEnergy spacevi_VN
dc.subjectBoundary element methodvi_VN
dc.subjectError estimatevi_VN
dc.titleEnergy space approaches to the cauchy problem for Poisson's equationvi_VN
dc.typeArticlevi_VN
Appears in Collections:Acta Mathematica Vietnamica 

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