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Automatic 2D Discretization with Variable Mesh Density for Numerical Methods

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Electric and Magnetic Fields

Abstract

Most of the time necessary to solve a problem by finite element method is spent for the data generation. Consequently, the best solution for the user is automatic data generation. It is advantageous to generate a mesh with varying density in different areas in dependence on the given problem. An automatic data generation consists of the subdivision into convex subregions, the creation of nodes and elements, and the correction of discretizated areas, which affects the accuracy of calculation 2,3,4

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References

  1. Marko Jesenik, Mladen Trlep, Božidar Hribernik; AUTOMATIC 2D DISCRETIZATION FOR NUMERICAL METHODS, 5th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, Graz, Austria September 28–30 1992

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  2. Edvard A. Sedak; Faculty of Engineering, Cairo University, Egipt (A.R.E.); A SCHEME FOR THE AUTOMATIC GENERATION OF TRIANGULAR FINITE ELEMENTS; INTERNATIONAL JOURNAL FOR NUME RICAL METHODS IN ENGINEERING, VOL. 15, 1813–1822 (1980).

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  3. J.P. Assumpcao Bastos, R. Carlson; GRUCAD/EEL/UFCS C. P. 467 Floranopolis 88049 Brazil; AN EFFICIENT AUTOMATIC 2D MESH GENERATION METHOD; COMPUMAG 8th CONFERENCE ON THE COMPUTATION OF ELECTROMAGNETIC FIELDS, July 7.11.1991- Sorrento, Italy, Volumel(83,86)

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  4. M. Fujita and M. Yamana; Fuji Electric Corporate Research & Development, LTD. TWO-DIMENSIONAL ADAPTIVE FEM MESH GENERATION; MAGNETICS JANUARY 1988 VOLUME 24 NUMBER 1.

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© 1995 Springer Science+Business Media New York

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Jesenik, M., Trlep, M., Hribernik, B. (1995). Automatic 2D Discretization with Variable Mesh Density for Numerical Methods. In: Nicolet, A., Belmans, R. (eds) Electric and Magnetic Fields. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1961-4_40

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  • DOI: https://doi.org/10.1007/978-1-4615-1961-4_40

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5806-0

  • Online ISBN: 978-1-4615-1961-4

  • eBook Packages: Springer Book Archive

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