The explicit Reproducing Kernel Particle Method (RKPM) is presented and applied to the simulations of large deformation problems. RKPM is a meshless method which does not need a mesh structure in its formulation. Because of this mesh-free property, RKPM is able to simulate large deformation problems
Application of Reproducing Kernel Particle Methods in electromagnetics
โ Scribed by Gregory M. Hulbert
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 491 KB
- Volume
- 139
- Category
- Article
- ISSN
- 0045-7825
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โฆ Synopsis
Motivated by the success of the Reproducing Kernal Particle Methods (RKPM) for solving the Helmholtz equation, RKPM is used as the interpolating basis functions for solving three-dimensional electromagnetics problems. The electromagnetics problem is the vector form of the wave equation. Treatment of the divergenceless condition is discussed as well as accurate treatment of the boundary conditions. A simple shorted cylindrical waveguide is solved under TE,, excitation. The accuracy of the RKPM is demonstrated for the three-dimensional problem.
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