Abstract
In the present paper we survey on the application of shape optimization for exterior electromagnetic shaping in two and three dimensions. An energy variational approach is used to compute numerically free surfaces either of columns of molten metal or of liquid bubbles, levitating in the electromagnetic field. The cost functional and its shape gradient can be computed by boundary integrals. A wavelet-based fast boundary element method of optimal complexity is employed for the computation of the exterior magnetic field. We sketch both scalar and vector valued boundary update methods for gaining satisfactory flexibility for the class of shapes under consideration. Numerical results are carried out to illustrate our algorithms for solving such problems.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
