Qualification: 
Ph.D, MSc, BSc
j_sarada@blr.amrita.edu
Phone: 
9448455760

Dr. Sarada Jayan has been working with Amrita since June 2002. She did her postgraduation from IIT Madras and her Ph.D from Amrita Vishwa Vidyapeetham. Her research interests include Numerical Analysis and Optimization.

Qualification

Degree University Year
B.Sc. Mathematics Calicut University 2000
M.Sc. Mathematics I.I.T. Madras 2002
Ph.D. Amrita Vishwa Vidhyapeetham 2014

 

Professional Appointments

Year Affiliation
Lecturer (2002)     Amrita Institute of Science and Technology, Amritapuri
Lecturer (2003 – 2004)     Amrita School of Engineering, Amritapuri
Assistant Professor (selection Grade)2004 – till date     Amrita School of Engineering, Bengaluru

Research & Management Experience

  • 12 years of research experience

Major Research Interests

  • Numerical Analysis and Optimization

Membership in Professional Bodies

  • Member of ISTAM

 

Publications

Publication Type: Conference Proceedings

Year of Publication Title

2020

M. Vallabhaneni, Madulla, B., Sarada Jayan, and R. Subramani, “Chaotic Hooke-Jeeves Algorithm using Cubic map with MATLAB code”, IEEE International Conference for Innovation in Technology (INOCON). IEEE, Bangluru, India, 2020.[Abstract]


This paper describes and provides MATLAB code for a hybrid algorithm that finds the global minimum for n-dimensional unconstrained optimization problems using Cubic chaotic map in stage-1 and Hooke-Jeeves method in stage-2. Eight benchmark functions are considered for evaluating the MATLAB code. The results that are obtained are tabulated for different dimensions such as 10D, 50D, 100D and 500D.

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2020

M. Suri, Raj, N., Dr. K. Deepa, and Sarada Jayan, “Application of Aspiration Level Model in determining QoS for an EV battery charging station”, International Conference on Smart Technologies in Computing, Electrical and Electronics (ICSTCEE). IEEE, Bengaluru, India, 2020.[Abstract]


Electric Vehicle (EV) is one of the most preferred vehicles in the current era, as it causes less pollution in the environment when compared to conventional vehicles. The depleted batteries can be refueled using battery charging methods which are further classified as slow, fast and battery swapping methods. EVs wait in queues before they get into service due to long duration of its charging. Queuing theory is used to evaluate behavior of EV charging stations. In this paper, the main objective is to study the different queuing models (M/M) with finite system and infinite system capacity at Fast Charging Stations (FCS). Aspiration level model is used to determine the acceptable range for service. Such models alleviate the difficulty in estimating various costs associated with respect to charging stations. And hence plays a key role in designing battery charging stations in EV developing countries like India. The objective is to understand different queuing models associated with the EV charging station by considering the data of Beijing charging station for a particular private EV.

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2019

S. G Rani, Sarada Jayan, and Kallur, N., “An extension of golden section algorithm for n-variable functions with MATLAB code”, IOP Conference Series Materials Science and Engineering, vol. 577:012175. 2019.[Abstract]


Golden section search method is one of the fastest direct search algorithms to solve single variable optimization problems, in which the search space is reduced from [a, b] to [0,1]. This paper describes an extended golden section search method in order to find the minimum of an n-variable function by transforming its n-dimensional cubic search space to the zero-one n-dimensional cube. The paper also provides a MATLAB code for two-dimensional and three-dimensional golden section search algorithms for a zero-one n-dimensional cube. Numerical results for some benchmark functions up to five dimensions and a comparison of the proposed algorithm with the Neldor Mead Simplex Algorithm is also provided.

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2019

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.[Abstract]


This paper presents an automated mesh generation for straight and curved sided irregular domains with unstructured two dimensional higher order triangular elements. The present higher order (HO) scheme has been implemented on the basis of subparametric transformations which are extracted from the nodal relations of parabolic arcs especially used for the curved domains. This new restructured meshing scheme is based on distmesh2d introduced by Persson and Gilbert Strang. In this work a higher order triangular mesh for two irregular domains star shaped domain and a circle inscribed in a rectangle has been constructed. These in turn is able to find its application in abundant flow problems and thermodynamics. Present innovative meshing scheme provides a refined and improved high quality meshes for these domains and produce accurate results of the node position, boundary edges and element connectivity for the discretized element. This is an advantage in executing finite element method with less computational efforts in practical engineering applications over the irregular domains.

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2018

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.[Abstract]


We propose a method for automated unstructured mesh generation using curved cubic triangular elements for a circular domain which can be efficiently used for finite element analysis in industrial engineering and applied sciences. This approach uses subparametric transformations with the parabolic arcs to obtain the nodal relations for the curved geometry under consideration. Persson and Strang developed a simple and well-known MATLAB mesh generator distmesh2d with linear triangular elements using signed distance function for the geometric description. The technique used here, to generate cubic (10-noded) triangular elements is based on distmesh2d. This approach can be easily adapted for any curved geometry. For illustration purpose, in this paper finite element method is applied to a Poisson equation over a circular domain. The efficiency of the proposed technique using curved cubic triangular elements is shown in the numerical results which are more accurate compared to linear and straight edged cubic ordered triangular elements for a fixed element size.

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2017

T. Darshi Panda, Nagaraja K V, Kurup, D. G., V. Naidu, K., and Sarada Jayan, “The use of higher order parabolic arcs for the computation of cutoff wavenumbers for TM modes in arbitrary shaped waveguides”, International Conference on Communication and Signal Processing (ICCSP). IEEE, Melmaruvathur, India, 2017.[Abstract]


This paper presents the use of Quartic and Quintic order finite elements for computing cutoff wavenumbers of arbitrary shaped waveguides. These finite elements are used for mapping the boundaries of waveguides with the highest accuracy. In the case of waveguides with curve geometries, the mapping is done by quartic and quintic order parabolic arcs. The domain of a particular waveguide is transformed to a suitable isosceles triangle with the help of these finite elements. The above method is found to be highly computationally efficient as compared to other methods found in literature.

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2017

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


A simple and efficient higher order finite element scheme is presented for obtaining highly accurate numerical solution for the two-dimensional Helmholtz equation in waveguides of arbitrary cross-section subjected to dirichlet boundary conditions. The above approach makes use of the Quintic order (5th order) parabolic arcs for accurately mapping the irregular cross section of the waveguide and then transforming the entire waveguide geometry to a standard isosceles triangle. In case of waveguides with regular geometry the transformation is done by straight sided quintic order finite elements. A unique and accurate point transformation technique is developed that ensures high accuracy of mapping by this quintic order curved triangular elements. This point transformation procedure gives a simple interpolating polynomial that defines the transformation from the global coordinate system to the local coordinate system. The above higher order finite element method is found to be highly optimal and accurate considering the various computational parameters like the number of triangular elements, degrees of freedom, nodal point distribution on the entire geometry, etc. © 2016 IEEE.

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Publication Type: Journal Article

Year of Publication Title

2020

S. Pala, Sarada Jayan, and Dr. Dhanesh G. Kurup, “An accurate UWB based localization system using modified leading edge detection algorithm”, Ad Hoc Networks Volume, vol. 97, 102017, 2020.[Abstract]


Ultra-wideband (UWB) localization systems have gained wide attention in precise indoor positioning applications, due to the usage of high bandwidth signals. We propose a modified leading edge detection algorithm for estimating the time of arrival (TOA) of the received UWB signal. The proposed method performs well even under low signal-to-noise ratio (SNR) conditions. We simulate a UWB localization system using the proposed algorithm and evaluate its performance under additive white Gaussian noise (AWGN). We study the influence of tuning parameters of the proposed algorithm on the positioning accuracy. We evaluate 1D and 2D positioning accuracies of the localization system using the optimal tuning parameters of the proposed algorithm. We further evaluate the performance of the proposed algorithm in multipath conditions. Simulation results show that the proposed algorithm provides enhanced positioning accuracy compared to the previously published methods including the state-of-the-art methods. We improve the positioning accuracy of the localization system further by deploying more base stations.

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2019

S. Devi, Nagaraja, K. V., Smitha, T. V., and Sarada Jayan, “Accurate higher order automated unstructured triangular meshes for airfoil designs in aerospace applications using parabolic arcs”, Aerospace Science and Technology , vol. 88, 405-420., 2019.[Abstract]


This paper presents automatically generated higher order curved triangular meshes around airfoil design using MATLAB code. This work shows a valuable basis for the finite element procedures involved in evaluating aerodynamic performances. Finite element method (FEM) effectively solves all computational fluid dynamics problems around the airfoil and for that region around the airfoil that has been discretized with unstructured curved triangular elements. Meshes have been formed on the basis of subparametric transformation created for the curved triangular element obtained from the nodal relations of parabolic arcs. This scheme can be used to obtain the output data of node coordinates, element connectivity and boundary values for all discretized elements over the airfoil design. A spectacular work done on linear triangular element meshing over a domain by Persson and Gilbert Strang is the basis of present meshing scheme. The proposed meshing scheme presents a refined higher order (HO) curved triangular discretization of few airfoil designs namely NACA0012, NACA0015 and NACA0021 inscribed inside a circle. The approach of the suggested meshing scheme described in this paper can be applied to numerous aerospace applications such as computing pressure gradients, understanding atmospheric nature study, evaluating laminar viscous compressible flow around the airfoil shape, etc. The element and nodal information gained from this discretization is useful for the numerical solutions of FEM and for the aerodynamic portrayal. This paper is aimed at the innovative discretization scheme which can be extended to all kinds of NACA airfoil designs. We have provided the MATLAB code AirfoilHOmesh2d for HO curved meshing around an airfoil with a cubic order triangular element. The mathematical explanation of this along with the description and implementation of it on few airfoil designs is described. The flowchart of the MATLAB code for cubic order meshing over airfoil design has been provided. This implementation supports many applications in an aerodynamic performance that have been elaborated in this paper. Two applications for the analysis of potential flow around airfoil and computation of pressure coefficient () on the surface of the airfoil design have been performed. It has been verified and found that the present HO curved meshing technique efficiently gives converging solution.

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2018

T. V. Smitha, Nagaraja, K. V., and Sarada Jayan, “MATLAB 2D higher-order triangle mesh generator with finite element applications using subparametric transformations”, Advances in Engineering Software, vol. 115, pp. 327-356, 2018.[Abstract]


This paper presents a novel automated higher-order (HO) unstructured triangular mesh generation of the two-dimensional domain. The proposed HO scheme uses the nodal relations obtained from subparametric transformations with parabolic arcs, especially for curved geometry. This approach is shown to drastically simplify the computational complexities involved in the HO finite element (HOFE) formulation of any partial differential equation (PDE). The prospective generalised MATLAB 2D mesh generation codes, HOmesh2d for the regular domain and CurvedHOmesh2d for a circular domain are based on the MATLAB mesh generator distmesh of Persson and Strang. As an input, the code takes a signed distance function of the domain geometry and the desired order for the triangular elements and as outputs, the code generates an HO triangular mesh with element connectivity, node coordinates, and boundary data (edges and nodes). The working principle of HOFE scheme, using subparametric transformations with the proposed HO automated mesh generator is explained. The simplicity, efficiency, and accuracy of the HOFE method, with the proposed HO automated mesh generator up to 28-noded triangular elements, are illustrated with elliptic PDE. The proposed techniques are applied to some electromagnetic problems. The use of higher order elements from the proposed mesh generator is shown to increase the accuracy and efficiency of the numerical results. Also, with the proposed HOFE scheme it is verified that HO elements significantly decrease the numbers of degrees of freedom, and elements required to achieve a specific level of accuracy compared to lower order elements. Numerical results show that the HO elements outperform the lower order elements in terms of efficiency and accuracy of the numerical results.

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2017

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.

2016

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.[Abstract]


In this paper, we derive an optimal numerical integration method to integrate functions over a lunar model, a closed region bounded by two different circular boundaries. The region is discretized into two and suitable efficient transformations are used to transform the regions to a zero-one square. After the transformation, a product formula is applied to derive the proposed numerical integration method. The generalized Gaussian quadrature nodes and weights for one dimension are used in the derived integration formula for evaluating the results. The results obtained for seven different functions are tabulated along with a comparative study in order to show that the proposed method gives more accurate results using less number of quadrature points and is the optimal one. More »»

2015

Sarada Jayan, “Effective numerical integration formulae to evaluate multiple integrals using generalized gaussian quadrature”, 2015.

2015

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.

2015

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.[Abstract]


A new integration method is proposed for integration of arbitrary functions over regions having circular boundaries. The method is developed using a new non-linear transformation which can transform such a region to a zero-one cube. The derivation of this formula over a circular and elliptic cylinder, cone and paraboloid is shown with numerical results.

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2015

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.[Abstract]


A general and effective numerical integration formula to evaluate all triple integrals with finite limits is proposed in this paper. The formula is derived by transforming the domain of integration to a zero-one cube. The general derivation along with results over specific regions like cuboid, tetrahedron, prism, pyramid and few regions having planar and non-planar faces is provided. Numerical results also are tabulated to validate the formula.

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2014

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.[Abstract]


This paper gives a numerical integration rule for integrating functions over any n-dimensional cube. The rule is derived using a simple linear transformation of the given n-cube to a zero-one cube. The prescribed method is proved to be superior in a certain sense to the existing integration formulae. The performance of the method is illustrated for different type of integrands over different n-dimensional cubes.

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2012

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.[Abstract]


<p>This paper presents a generalized Gaussian quadrature method for numerical integration over regions with parabolic edges. Any region represented by R 1={(x, y)| a≤x≤b, f(x) ≤y≤g(x)} or R2={(x, y)| a≤y≤b, f(y) ≤x≤g(y)}, where f(x), g(x), f(y) and g(y) are quadratic functions, is a region bounded by two parabolic arcs or a triangular or a rectangular region with two parabolic edges. Using transformation of variables, a general formula for integration over the above-mentioned regions is provided. A numerical method is also illustrated to show how to apply this formula for other regions with more number of linear and parabolic sides. The method can be used to integrate a wide class of functions including smooth functions and functions with end-point singularities, over any two-dimensional region, bounded by linear and parabolic edges. Finally, the computational efficiency of the derived formulae is demonstrated through several numerical examples. © 2012 Copyright Taylor and Francis Group, LLC.</p>

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2011

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

2011

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.[Abstract]


{This paper presents a generalized Gaussian quadrature method for numerical integration over triangular, parallelogram and quadrilateral elements with linear sides. In order to derive the quadrature rule, a general transformation of the regions

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Publication Type: Conference Paper

Year of Publication Title

2018

S. M. Bhat, S. Nikhil, Vineetha Jain, Sarada Jayan, and Dr. Dhanesh G. Kurup, “A Parallelized Method for Global Single Variable Optimization”, in Biennial International Conference on Power and Energy Systems: Towards Sustainable Energy (PESTSE), Amrita School of Engineering, Bengaluru, 2018.

 

Courses taught

  • Single Variable Calculus
  • Multi-Variable Calculus
  • Ordinary Differential Equations
  • Partial Differential Equations
  • Laplace Transforms
  • Vector Calculus
  • Matrix Algebra
  • Linear Algebra
  • Optimization Techniques
  • Probability and Statistics
  • Probability and Random Processes
  • Numerical Methods
  • Optimization Techniques
  • Queueing Theory
  • Mathematics for Intelligent Systems

Student Guidance

Research scholars
Sl.No. Name of the Student(s) Topic Status – Ongoing/Completed Year of Completion
1. Sandhya Rani Chaotic Optimization Algorithms Ongoing  
2. Simi K. Numerical Optimization Ongoing  
3. Arundhati Ghosh Game Theoretic Approach Towards Customer Lifetime Value Optimization Ongoing