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A New Class of Stabilized WEB-Spline-Based Mesh-Free Finite Elements for the Approximation of Maxwell Equations |
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| Authors: | Sudhakar Chaudhary V V K Srinivas Kumar |
| Institution: | 1. Department of Mathematics , Indian Institute of Technology Delhi , Hauz Khas , New Delhi , India sudhakarpatel.iitd@gmail.com;3. Department of Mathematics , Indian Institute of Technology Delhi , Hauz Khas , New Delhi , India |
| Abstract: | The objective of this article is to discuss the existence and the uniqueness of a weighted extended B-spline-(WEB-spline) based discrete solution for the Maxwell equations in low frequency limit. The domain is composed of insulating and conducting regions. This problem has saddle point structure where the electric field in insulating region is the Lagrange multiplier that forces curl-free constraint on the magnetic field. |
| Keywords: | Inf-Sup condition Magnetodynamics Maxwell equations Meshless method WEB-Spline |