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RESEARCH PRODUCT
On Fixed Point (Trial) Methods for Free Boundary Problems
Jari JärvinenTimo Tiihonensubject
Continuous castingSteady state (electronics)Fixed-point iterationConvergence (routing)Applied mathematicsBoundary (topology)Shape optimizationFixed pointElectrochemical machiningMathematicsdescription
In this note we consider the trial methods for solving steady state free boundary problems. For two test examples (electrochemical machining and continuous casting) we discuss the convergence of a fixed point method. Moreover, using the techniques of shape optimization we introduce a modification of the method, which gives us superlinear convergence rate. This is also confirmed numerically.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1992-01-01 |