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Dr. K. V. Nagaraja

Professor

Dr. K. V. Nagaraja currently serves as Professor at the Department of Mathematics, Amrita School of Engineering, Bengaluru campus.

Qualification: MPhil, MSc, Ph.D
kv_nagaraja@blr.amrita.edu
Research Interest: Biomechanics, Computational Fluid Mechanics, Electromagnetics &Communications Engineering., Finite Element Methods (FEM), Numerical Analysis, Transforms & Partial Differential Equations

Bio

Dr. K. V. Nagaraja currently serves as Professor at the Department of Mathematics, Amrita School of Engineering, Bengaluru campus. He has a teaching experience of 19 years and research experience of 16 years. He has guided 2 PhD students and currently guiding 4 PhD students.

Publications

Journal Article

Year : 2021

Automated 3D higher-order tetrahedral mesh generator utilizing the subparametric transformations in MATLAB

Authors : Dr. K. V. Nagaraja, Smitha,T. V.;

Publisher : AIP Conference Proceedings

T. V. Smitha and Dr. K.V. Nagaraja, “Automated 3D higher-order tetrahedral mesh generator utilizing the subparametric transformations in MATLAB”, AIP Conference Proceedings, vol. 2316, p. 040003, 2021.

Year : 2021

MATLAB automated higher-order tetrahedral mesh generator for CAD geometries and a finite element application with the subparametric mappings

Authors : Dr. K. V. Nagaraja, T.V. Smitha;

Publisher : Materials Today: Proceedings

T. V. Smitha and Dr. K.V. Nagaraja, “MATLAB automated higher-order tetrahedral mesh generator for CAD geometries and a finite element application with the subparametric mappings”, Materials Today: Proceedings, vol. 42, pp. 330-342, 2021.

Year : 2020

An automated higher order meshing for NACA0018 airfoil design using subparametric transformation

Authors : Dr. K. V. Nagaraja, Supriya Devi;

Publisher : Materials Today:

S. Devi and Dr. K.V. Nagaraja, “An automated higher order meshing for NACA0018 airfoil design using subparametric transformation”, Materials Today: Proceedings, 2020.

Year : 2020

An Efficient Automatic Mesh Generator With Parabolic Arcs in Julia for Computation of TE and TM Modes for Waveguides

Authors : Dr. K. V. Nagaraja, Kannan, G. Padmasudha;

Publisher : IEEE Access,

P. G. Kannan and Dr. K.V. Nagaraja, “An Efficient Automatic Mesh Generator With Parabolic Arcs in Julia for Computation of TE and TM Modes for Waveguides”, IEEE Access, vol. 8, pp. 109508-109521, 2020.

Year : 2019

An efficient automated higher-order finite element computation technique using parabolic arcs for planar and multiply-connected energy problems

Authors : Dr. K. V. Nagaraja, Smitha, T.V.;

Publisher : Energy, Elsevier Ltd,

T. V. Smitha and Dr. K.V. Nagaraja, “An efficient automated higher-order finite element computation technique using parabolic arcs for planar and multiply-connected energy problems”, Energy, vol. 183, pp. 996-1011, 2019.

Year : 2019

Application of automated cubic-order mesh generation for efficient energy transfer using parabolic arcs for microwave problems

Authors : Dr. K. V. Nagaraja, Smitha, T.V.

Publisher : Energy

T. V. Smitha and Dr. K.V. Nagaraja, “Application of automated cubic-order mesh generation for efficient energy transfer using parabolic arcs for microwave problems”, Energy, vol. 168, pp. 1104-1118, 2019.

Year : 2017

Generalized Gaussian quadrature rules over an n-dimensional ball

Authors : Dr. K. V. Nagaraja, Dr. Sarada Jayan

Publisher : Pakistan Journal of Biotechnology,

Sarada Jayan and Dr. K.V. Nagaraja, “Generalized Gaussian quadrature rules over an n-dimensional ball”, Pakistan Journal of Biotechnology, vol. 14, no. 3, pp. 423-428, 2017.


Year : 2016

An optimal numerical integration method over a lune by using an efficient transformation technique

Authors : Dr. Sarada Jayan, Dr. K. V. Nagaraja

Publisher : Proceedings of the Jangjeon Mathematical Society, Jangjeon Research Institute for Mathematical Sciences and Physics.

Sarada Jayan and Dr. K.V. Nagaraja, “An optimal numerical integration method over a lune by using an efficient transformation technique”, Proceedings of the Jangjeon Mathematical Society, vol. 19, pp. 486-492, 2016.


Year : 2016

Optimal subparametric finite elements for the computation of cutoff wavenumbers in waveguides

Authors : Dr. V. Kesavulu Naidu, Dr. K. V. Nagaraja, Panda,Tattwa Darshi.

Publisher : AIP Conference Proceedings.

Dr. K.V. Nagaraja, Panda, T. Darshi, and Dr. V. Kesavulu Naidu, “Optimal subparametric finite elements for the computation of cutoff wavenumbers in waveguides”, AIP Conference Proceedings, vol. 1715, p. 020048, 2016.


Year : 2015

Finite Element Method for Solving Eigenvalue Problem in Waveguide Modes

Authors : Dr. K. V. Nagaraja, T. Darshi Panda

Publisher : Global Journal of Pure and Applied Mathematcs

T. Darshi Panda and Dr. K.V. Nagaraja, “Finite Element Method for Solving Eigenvalue Problem in Waveguide Modes”, Global Journal of Pure and Applied Mathematcs, vol. 11, no. 3, pp. 1241–1251, 2015.

Year : 2015

A General and Effective Numerical Integration Method to Evaluate Triple Integrals Using Generalized Gaussian Quadrature

Authors : Dr. Sarada Jayan, Dr. K. V. Nagaraja

Publisher : Procedia Engineering

Sarada Jayan and Dr. K.V. Nagaraja, “A General and Effective Numerical Integration Method to Evaluate Triple Integrals Using Generalized Gaussian Quadrature”, Procedia Engineering, vol. 127, pp. 1041–1047, 2015.

Year : 2015

Finite Element Solution of Darcy–Brinkman Equation for Irregular Cross-Section Flow Channel Using Curved Triangular Elements

Authors : Dr. V. Kesavulu Naidu, Dr. K. V. Nagaraja, Siddheshwar, PG

Publisher : Procedia Engineering

Dr. V. Kesavulu Naidu, Siddheshwar, P. G., and Dr. K.V. Nagaraja, “Finite Element Solution of Darcy–Brinkman Equation for Irregular Cross-Section Flow Channel Using Curved Triangular Elements”, Procedia Engineering, vol. 127, pp. 301–308, 2015.

Year : 2015

Numerical Integration over Three-Dimensional Regions Bounded by One or More Circular Edges

Authors : Dr. Sarada Jayan, Dr. K. V. Nagaraja

Publisher : Procedia Engineering

Sarada Jayan and Dr. K.V. Nagaraja, “Numerical Integration over Three-Dimensional Regions Bounded by One or More Circular Edges”, Procedia Engineering, vol. 127, pp. 347–353, 2015.

Year : 2015

Numerical integration over irregular domains using generalized Gaussian quadrature

Authors : Dr. Sarada Jayan, Dr. K. V. Nagaraja

Publisher : Proceedings of the Jangjeon Mathematical Society

Sarada Jayan and Dr. K.V. Nagaraja, “Numerical integration over irregular domains using generalized Gaussian quadrature”, Proceedings of the Jangjeon Mathematical Society, vol. 18, pp. 21–30, 2015.


Year : 2014

Numerical integration over n-dimensional cubes using generalized gaussian quadrature

Authors : Dr. Sarada Jayan, Dr. K. V. Nagaraja

Publisher : Proceedings of the Jangjeon Mathematical Society

Sarada Jayan and Dr. K.V. Nagaraja, “Numerical integration over n-dimensional cubes using generalized gaussian quadrature”, Proceedings of the Jangjeon Mathematical Society, vol. 17, pp. 63-69, 2014.

Year : 2014

Optimal subparametric finite elements for elliptic partial differential equations using higher-order curved triangular elements

Authors : Dr. V. Kesavulu Naidu, Dr. K. V. Nagaraja, ; Siddheshwar, P.G.b

Publisher : International Journal of Computational Methods in Engineering Science and Mechanics

Dr. K.V. Nagaraja, Dr. V. Kesavulu Naidu, and Siddheshwar, P. G., “Optimal Subparametric Finite Elements for Elliptic Partial Differential Equations Using Higher-Order Curved Triangular Elements”, International Journal for Computational Methods in Engineering Science and Mechanics, vol. 15, pp. 83-100, 2014.


Year : 2013

Advantages of cubic arcs for approximating curved boundaries by subparametric transformations for some higher order triangular elements

Authors : Dr. V. Kesavulu Naidu, Dr. K. V. Nagaraja

Publisher : Applied Mathematics and Computation

Dr. V. Kesavulu Naidu and Dr. K.V. Nagaraja, “Advantages of cubic arcs for approximating curved boundaries by subparametric transformations for some higher order triangular elements”, Applied Mathematics and Computation, vol. 219, pp. 6893-6910, 2013.

Year : 2012

Generalized Gaussian quadrature rules over regions with parabolic edges

Authors : Dr. Sarada Jayan, Dr. K. V. Nagaraja

Publisher : International Journal of Computer Mathematics

Dr. K.V. Nagaraja and Sarada Jayan, “Generalized Gaussian quadrature rules over regions with parabolic edges”, International Journal of Computer Mathematics, vol. 89, pp. 1631-1640, 2012.

Year : 2011

Gauss Legendre – Gauss Jacobi quadrature rules over a Tetrahedral region

Authors : Dr. B. Venkatesh, Dr. K. V. Nagaraja, Rathod, H.T.a; ;

Publisher : International Journal of Mathematical Analysis

H. Ta Rathod, Dr. B. Venkatesh, and Dr. K.V. Nagaraja, “Gauss Legendre - Gauss Jacobi quadrature rules over a Tetrahedral region”, International Journal of Mathematical Analysis, vol. 5, pp. 189-198, 2011.

Year : 2011

Generalized Gaussian Quadrature rules over two dimensional regions with linear edges

Authors : Dr. K. V. Nagaraja, Jayan, Sarada

Publisher : Taylor & Francis

S. Jayan and Nagaraja, K. V., “Generalized Gaussian Quadrature rules over two dimensional regions with linear edges”, International journal of Computer Mathematics , vol. 89, pp. 1631-1640, 2011.

Year : 2011

Generalized Gaussian quadrature rules over two-dimensional regions with linear sides

Authors : Dr. Sarada Jayan, Dr. K. V. Nagaraja

Publisher : Applied Mathematics and Computation

Sarada Jayan and Dr. K.V. Nagaraja, “Generalized Gaussian quadrature rules over two-dimensional regions with linear sides”, Applied Mathematics and Computation, vol. 217, pp. 5612-5621, 2011.

Year : 2011

Symbolic Computation of high order Gauss Lobatto Quadrature formulas with variable precision

Authors : Dr. K. V. Nagaraja, H. .T.Rathod, Nagabhusan, C. S., and .Y.Shrivalli, H.

Publisher : International e-journal of Numerical Analysis and Related topics

H. .T.Rathod, Dr. K.V. Nagaraja, Nagabhusan, C. S., and .Y.Shrivalli, H., “Symbolic Computation of high order Gauss Lobatto Quadrature formulas with variable precision”,

Year : 2010

The use of parabolic arc in matching curved boundary by point transformations for septic order triangular element and its applications

Authors : Dr. V. Kesavulu Naidu, Dr. K. V. Nagaraja

Publisher : Advanced Studies in Contemporary Mathematics (Kyungshang)

Dr. V. Kesavulu Naidu and Dr. K.V. Nagaraja, “The use of parabolic arc in matching curved boundary by point transformations for septic order triangular element and its applications”, Advanced Studies in Contemporary Mathematics (Kyungshang), vol. 20, pp. 437-456, 2010.


Year : 2010

The use of parabolic arc in matching curved boundary by point transformations for sextic order triangular element

Authors : Dr. V. Kesavulu Naidu, Dr. K. V. Nagaraja, Rathod, H.T.b

Publisher : International Journal of Mathematical Analysis

Dr. K.V. Nagaraja, Dr. V. Kesavulu Naidu, and Rathod, H. Tb, “The use of parabolic arc in matching curved boundary by point transformations for sextic order triangular element”, International Journal of Mathematical Analysis, vol. 4, pp. 357-374, 2010.

Year : 2010

Symmetric Gauss Legendre quadrature rules for numerical integration over an arbitrary linear tetrahedra in Euclidean three-dimensional space

Authors : Dr. K. V. Nagaraja, ; Rathod, H.T.b

Publisher : International Journal of Mathematical Analysis

Dr. K.V. Nagaraja and Rathod, H. Tb, “Symmetric Gauss Legendre quadrature rules for numerical integration over an arbitrary linear tetrahedra in Euclidean three-dimensional space”, International Journal of Mathematical Analysis, vol. 4, pp. 921-928, 2010.

Year : 2010

Some composite numerical integration schmes for an arbitrary linear convex quadrilateral region

Authors : Dr. K. V. Nagaraja, H. .T.Rathod, Gali, A., Shivaram, K. T.

Publisher : International e-journal of Numerical Analysis and Related topics

H. .T.Rathod, Gali, A., Shivaram, K. T., and Dr. K.V. Nagaraja, “Some composite numerical integration schmes for an arbitrary linear convex quadrilateral region”, International e-journal of Numerical Analysis and Related topics, vol. 4, pp. 19–58, 2010.

Year : 2010

On a New Cubic Spline Interpolation with Application to Quadrature

Authors : Dr. V. Kesavulu Naidu, Dr. K. V. Nagaraja, Rathod, HT; Shrivalli, HY;

Publisher : Int. Journal of Math. Analysis,

H. T. Rathod, Shrivalli, H. Y., Dr. K.V. Nagaraja, and Dr. V. Kesavulu Naidu, “On a New Cubic Spline Interpolation with Application to Quadrature”, Int. Journal of Math. Analysis, vol. 4, no. 28, pp. 1387–1415, 2010.

Year : 2008

The use of parabolic arcs in matching curved boundaries by point transformations for some higher order triangular elements

Authors : Dr. V. Kesavulu Naidu, Dr. K. V. Nagaraja, Dr. B. Venkatesh, H.T. Rathod;

Publisher : Finite Elements in Analysis and Design

H. T. Rathod, Nagaraja, K. V., Dr. V. Kesavulu Naidu, and Dr. B. Venkatesh, “The use of parabolic arcs in matching curved boundaries by point transformations for some higher order triangular elements”, Finite Elements in Analysis and Design, vol. 44, pp. 920-932, 2008.

Year : 2007

Gauss Legendre–Gauss Jacobi quadrature rules over a tetrahedral region

Authors : Dr. B. Venkatesh, Dr. K. V. Nagaraja, Rathod, HT; Islam, Md Shafiqul

Publisher : Applied mathematics and computation

H. T. Rathod, Dr. B. Venkatesh, Nagaraja, K. V., and Islam, M. Shafiqul, “Gauss Legendre–Gauss Jacobi quadrature rules over a tetrahedral region”, Applied Mathematics and Computation, vol. 190, pp. 186-194, 2007.

Year : 2006

Gauss legendre quadrature formulas over a tetrahedron

Authors : Dr. K. V. Nagaraja, Dr. B. Venkatesh, Rathod, HT;

Publisher : Numerical Methods for Partial Differential Equations, Wiley Online Library,

H. T. Rathod, Dr. B. Venkatesh, and Dr. K.V. Nagaraja, “Gauss legendre quadrature formulas over a tetrahedron”, Numerical Methods for Partial Differential Equations, vol. 22, pp. 197–219, 2006.



Year : 2006

On the application of two symmetric Gauss Legendre quadrature rules for composite numerical integration over a tetrahedral region 2006

Authors : Dr. K. V. Nagaraja, Dr. B. Venkatesh, Rathod, HT;;

Publisher : International Journal for Computational Methods in Engineering Science and Mechanics, Taylor & Francis Group,

H. T. Rathod, Dr. B. Venkatesh, and Nagaraja, K. V., “On the application of two symmetric Gauss Legendre quadrature rules for composite numerical integration over a tetrahedral region”, International Journal for Computational Methods in Engineering Science and Mechanics, vol. 7, no. 6, pp. 445–459, 2006.


Year : 2006

On the application of two symmetric Gauss Legendre quadrature rules for composite numerical integration over a tetrahedral region

Authors : Dr. K. V. Nagaraja, Dr. B. Venkatesh, Rathod, HT

Publisher : Taylor & Francis Group

H. T. Rathod, Dr. B. Venkatesh, and Nagaraja, K. V., “On the application of two symmetric Gauss Legendre quadrature rules for composite numerical integration over a tetrahedral region”, International Journal for Computational Methods in Engineering Science and Mechanics, vol. 7, no. 6, pp. 445–459, 2006.

Year : 2005

Symmetric Gauss Legendre quadrature rules for composite numerical integration over a tetrahedral region

Authors : Dr. B. Venkatesh, Dr. K. V. Nagaraja, Rathod, HT

Publisher : Journal of Bulletin of Mathematics

H. T. Rathod, Dr. B. Venkatesh, and Dr. K.V. Nagaraja, “Symmetric Gauss Legendre quadrature rules for composite numerical integration over a tetrahedral region”, Journal of Bulletin of Mathematics, vol. 24, pp. 51–79, 2005.



Year : 2005

Gauss Legendre Quadrature Formulae for Tetrahedra

Authors : Dr. B. Venkatesh, Dr. K. V. Nagaraja, Rathod, HT

Publisher : International Journal for Computational Methods in Engineering Science and Mechanics, Taylor & Francis

H. T. Rathod, Dr. B. Venkatesh, and Dr. K.V. Nagaraja, “Gauss Legendre Quadrature Formulae for Tetrahedra”, International Journal for Computational Methods in Engineering Science and Mechanics, vol. 6, no. 3, pp. 179–186, 2005.

Conference Proceedings

Year : 2019

2D Higher order triangular mesh generation in irregular domain for finite element analysis using MATLAB

Authors : Dr. K. V. Nagaraja, Dr. Sarada Jayan, Devi, Supriya; ;; Smitha, T. V.

Publisher : IOP Conference Series: Materials Science and Engineering, IOP Publishing,

S. Devi, Dr. K.V. Nagaraja, Sarada Jayan, and Smitha, T. V., “2D Higher order triangular mesh generation in irregular domain for finite element analysis using MATLAB”, IOP Conference Series: Materials Science and Engineering, vol. 577. IOP Publishing, p. 012132, 2019.


Year : 2018

Automated Mesh Generation Using Curved Cubic Triangular Elements for a Circular Domain with a Finite Element Implementation

Authors : Dr. K. V. Nagaraja, Dr. Sarada Jayan, T.V. Smitha;;

Publisher : Materials Today: Proceedings,

T. V. Smitha, Dr. K.V. Nagaraja, and Sarada Jayan, “Automated Mesh Generation Using Curved Cubic Triangular Elements for a Circular Domain with a Finite Element Implementation”, Materials Today: Proceedings, vol. 5. pp. 25203-25211, 2018.

Year : 2017

Application of quintic order parabolic arcs in the analysis of waveguides with arbitrary cross-section

Authors : Dr. Sarada Jayan, Dr. K. V. Nagaraja, Dr. V. Kesavulu Naidu, Darshi Panda, T.; .;

Publisher : Proceedings of the International Conference on Communication and Electronics Systems

D. T. Panda, Dr. K.V. Nagaraja, V. Naidu, K., and Sarada Jayan, “Application of quintic order parabolic arcs in the analysis of waveguides with arbitrary cross-section”, in Proceedings of the International Conference on Communication and Electronics Systems, ICCES 2016, 2017.

Book Chapter

Year : 2018

A Simple and Efficient Higher Order Finite Element Scheme for Helmholtz Waveguides

Authors : Dr. K. V. Nagaraja, Dr. V. Kesavulu Naidu, Panda, Tattwa Darshi;;

Publisher : Advances in Electronics, Communication and Computing, Springer Singapore,

T. Darshi Panda, Dr. K.V. Nagaraja, and Dr. V. Kesavulu Naidu, “A Simple and Efficient Higher Order Finite Element Scheme for Helmholtz Waveguides”, in Advances in Electronics, Communication and Computing, vol. 443, A. Kalam, Das, S., and Sharma, K., Eds. Singapore: Springer Singapore, 2018, pp. 421-43.

Qualification
Degree Name of University Year
M.Sc. Bangalore University 1996
M.Phil. Bangalore University 1998
PhD Bangalore University 2005
Invited Talks/ Workshops Attended
  1. Dr. K. V. Nagaraja has delivered  an invited talk titled on “Finite Element Method and its Applications”, Two day workshop on “Current Topics in Mathematics”, for Post Graduate Students on March 1, 2013 at Christ University.
  2. Dr. K. V. Nagaraja has delivered an invited talk titled on “Finite element solution of Darcy-Brinkman and Darcy-Forchheimer-Brinkman equation for some flow channels using triangular elements” on June 27, 2014 in a “Two-Week International Workshop on Computational Fluid Dynamics” Organized by the Department of Mathematics, BMS College of Engineering, Bangalore during June 23 – July 5, 2014. The workshop was sponsored by TEQIP-II (Technical Education Quality Improvement Programme-II).
  3. Dr. K. V. Nagaraja has delivered an invited talk titled on “Introduction to Finite Element Method” on August 1, 2014 in a “One-Week Faculty Development Programmee” Organized by the Department of Mathematics, Malnad College of Engineering, Hassan during July 28 – August 2, 2014. The workshop was sponsored by TEQIP-II (Technical Education Quality Improvement Programme-II).
  4. Dr. K. V. Nagaraja , attended National Workshop on Parabolic Differential Equations and Applications to Image Processing during October 26 – 29, 2015, at Sri Sathya Sai Institute of Higher Learning, Puttaparti.
PhD Students
  1. Mr. V. Kesavulu NaiduArea of Research: Finite Element Method
    Viva-Voce conducted on November 8, 2013
    Title: Finite Element Method solution of Partial Differential Equations using the Subparametric Transformations for some Higher Order Triangular Elements.
  2. Ms. Sarada JayanArea of Research: Numerical Analysis
    Viva-Voce conducted on December 16, 2014
    Title: Effective Numerical Integration Methods to evaluate Multiple integrals using Generalized Gaussian Quadrature.
  3. Ms. Supriya Devi (Part Time)Department of Mathematics
    ASE, Bangalore
    Area of Research: Finite Element Method
    Registered on March 2015
  4. Ms. Smitha TV(Full Time)Department of Mathematics
    ASE, Bangalore
    Area of Research: Finite Element Method
    Registered on September 2015
  5. Padma Sudha(Part Time)Department of Mathematics
    ASE, Bangalore
    Area of Research: Numerical Optimization Techniques
    Registered on September 2015
  6. Ms. Sandhya Rani(Part Time)Department of Mathematics
    ASE, Bangalore
    Area of Research: Numerical Optimization Techniques
    Registered on September 2015
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