The following information was submitted:
Transactions: INTERNATIONAL JOURNAL of MATHEMATICS AND COMPUTERS IN SIMULATION
Transactions ID Number: 19-814
Full Name: Nuha Loling Othman
Position: Ph.D. Candidate
Age: ON
Sex: Female
Address: B-4, Machikane so, Machikaneyama 12-11, Toyonaka, Osaka
Country: JAPAN
Tel: 080 6203 4651
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E-mail address: zzt230c@gmail.com
Other E-mails: othman@sigmath.es.osaka-u.ac.jp
Title of the Paper: a combined scheme for computing numerical solutions of a free boundary problem
Authors as they appear in the Paper: Nuha Loling Othman, Takashi Suzuki, Takuya Tsuchiya
Email addresses of all the authors: othman@sigmath.es.osaka-u.ac.jp, suzuki@sigmath.es.osaka-u.ac.jp, tsuchiya@math.sci.ehime-u.ac.jp
Number of paper pages: 8
Abstract: Numerical schemes for free boundary problems are categorized into two groups: level-set approaches and iterative approaches. In this paper we present a combined approach for computing numerical solutions of a free boundary problem. At first, a rough numerical solution is obtained by a level-set method. Then, using the solution as an initial guess, we use an iterative scheme to obtain more precise solution. To design an iterative scheme, we calculate first variations with respect to boundary perturbation of quantities related to the free boundary problem. Such a variation with respect to domain perturbation is called Hadamard's variation. Since our iterative scheme is designed with Hadamard's variations, it is fast and stable. If the iteration starts with good initial guess obtained by a level-set method, iteration converges almost immediately. Numerical examples show the effectiveness and usefulness of our approach.
Keywords: Filtration Problem, Free boundary problems, Hadamard's variations, Traction method
EXTENSION of the file: .pdf
Special (Invited) Session: Application of Hadamard's Variation to Numerical Solutions of a Free Boundary Problem
Organizer of the Session: 638-245
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