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A second order convergent trial method for free boundary problems in three dimensions

Bugeanu, Monica and Harbrecht, Helmut. (2014) A second order convergent trial method for free boundary problems in three dimensions. Preprints Fachbereich Mathematik, 2014 (14).

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Abstract

The present article is concerned with the solution of a generalized Bernoulli free boundary problem by means of a trial method. At the free boundary, we prescribe the Neumann boundary condition and update the free boundary with the help of the remaining Dirichlet boundary condition. An inexact Newton update is used which results in a second order convergent iterative method. Numerical examples show the feasibility of the present approach.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Bugeanu, Monica and Harbrecht, Helmut
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:12 May 2019 21:46
Deposited On:28 Mar 2019 09:52

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