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Finite element methods: Research in India over the last decade

Author

Listed:
  • Neela Nataraj

    (Indian Institute of Technology Bombay)

  • A. S. Vasudeva Murthy

    (TIFR Centre for Applied Mathematics)

Abstract

This article is a summary of major contributions of Indian mathematicians to the mathematical aspects of the finite element method in the last one decade: 2008–2017. We briefly trace out the historical origins of the topic in India and abroad. A section on the method itself is included so that this review is accessible to anybody with a background in partial differential equations and numerical techniques for solving it.

Suggested Citation

  • Neela Nataraj & A. S. Vasudeva Murthy, 2019. "Finite element methods: Research in India over the last decade," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(3), pages 739-765, September.
    • Handle: RePEc:spr:indpam:v:50:y:2019:i:3:d:10.1007_s13226-019-0352-5
    DOI: 10.1007/s13226-019-0352-5
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    References listed on IDEAS

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    1. Ganesan, Sashikumaar & Srivastava, Shweta, 2017. "ALE-SUPG finite element method for convection–diffusion problems in time-dependent domains: Conservative form," Applied Mathematics and Computation, Elsevier, vol. 303(C), pages 128-145.
    2. B. V. Rathish Kumar & S. V. S. S. N. V. G. Krishna Murthy, 2012. "A Finite Element Study of Double Diffusive Mixed Convection in a Concentration Stratified Darcian Fluid Saturated Porous Enclosure under Injection/Suction Effect," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-29, August.
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