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Finite element methods: Research in India over the last decade

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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.

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Acknowledgment

The authors would like to acknowledge the valuable inputs from P. K. Bhattacharyya, Thirupati Gudi, S. Kesavan, Amiya K. Pani, Rajen K. Sinha and M. Vanninathan which helped considerably in writing up this manuscript. The authors also thank U. K. Anandavardhanan for offering suggestions that has greatly improved the readability of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai, 400 076, India

    Neela Nataraj

  2. TIFR Centre for Applied Mathematics, Yelahanka New Town, Bangalore, 560 065, India

    A. S. Vasudeva Murthy

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  1. Neela Nataraj
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Correspondence to Neela Nataraj or A. S. Vasudeva Murthy.

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The emphasis of this article is on original and novel contributions from our own limited perspective. Obviously, this would mean some omissions for which we offer our apologies.

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Nataraj, N., Vasudeva Murthy, A.S. Finite element methods: Research in India over the last decade. Indian J Pure Appl Math 50, 739–765 (2019). https://doi.org/10.1007/s13226-019-0352-5

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