Numerical solutions of the two-phase membrane problem
2011 (English)In: Applied Numerical Mathematics, ISSN 0168-9274, E-ISSN 1873-5460, Vol. 61, no 1, 92-107 p.Article in journal (Refereed) Published
In this paper different numerical methods for a two-phase free boundary problem are discussed. In the first method a novel iterative scheme for the two-phase membrane is considered. We study the regularization method and give an a posteriori error estimate which is needed for the implementation of the regularization method. Moreover, an efficient algorithm based on the finite element method is presented. It is shown that the sequence constructed by the algorithm is monotone and converges to the solution of the given free boundary problem. These methods can be applied for the one-phase obstacle problem as well.
Place, publisher, year, edition, pages
2011. Vol. 61, no 1, 92-107 p.
Free boundary problems, Two-phase membrane, Finite element method, Error estimate, Regularization
IdentifiersURN: urn:nbn:se:kth:diva-13974DOI: 10.1016/j.apnum.2010.08.007ISI: 000284792500007OAI: oai:DiVA.org:kth-13974DiVA: diva2:328723
Updated from submitted to published. QC 201203272010-07-062010-07-062012-03-27Bibliographically approved