Prof. Sandeep Kumar

Sandeep Kumar

Professor – Mechanical Engineering Department, I.T., B.H.U., Varanasi. (Since Feb 2011)

 

Academic Background:

 

Reader/ Asso. Prof.- Institute of Technology, Banaras Hindu University, Varanasi, (Dec 2004- Feb 2011)

Assistant Professor - Asian Institute of Medicine, Science & Technology, Malaysia (Sept 2002-Dec 2004)

Assistant Professor - Birla Institute of Technology & Science, Pilani (Aug 1998- Sept 2002)

Lecturer - National Institute of Technology, Kurukshetra (Aug 1994 – July 1998)

 

Courses (in B.H.U.):

 

Computer Aided Design (Odd Semester)

Mathematical Methods & Optimization (Odd Semester)

Finite Element Method (Even Semester)

 

Research Interests:

 

Computational Mechanics:  Wavelets, Finite Element and Meshless Methods.

 

Ongoing Research Projects & Summary:

 

Ø      Wavelets and their Applications in Computational  Mechanics, Department of Science & Technology, India.(Principal Investigator)

 

Finite element method, the most widely used numerical technique to solve engineering problems of complex domains, depends on the adaptive grid generation to account the localized changes in the domain. Re-computing of stiffness matrix in adaptive grid technique is a time consuming process. We are incorporating wavelet based technique in the finite element method which compresses the stiffness matrix of finite element, eliminates re-computing process, and works as preconditioning in iterative solution of FE equations.

 

Ø      Numerical Solution of Advection Dispersion Equation using Wavelets, Board of Research in Nuclear Sciences, DAE, India. (Principal Investigator)

 

Operation of any nuclear power plant releases gaseous and liquid effluent in the environment. In order to know the impact of the effluent release on the environment, mathematical model is very useful. Basic aim in this issue is to compute the concentration of a pollutant at any spatial grid/mesh point and at any instant of time within the domain of interest. The difficulty in mathematical modeling is in the solution due to very low coercive constant compared to continuity constant. In this project, we are developing efficient and accurate wavelet based numerical techniques for solution of advection dispersion equation.

 

Invited Lectures:

 

·        “Error Estimation and Adaptive Mesh in Finite Element Method”,  Department of Mechanical & Industrial Engineering, I.I.T. Roorkee,  July  12-16, 2010

 

·        “Scale-orthogonal wavelets”, Bhabha Atomic Research Centre,  Mumbai, March 5-6, 2010

 

·        “Time-Frequency Analysis and Denoising of Signals using Wavelets”, Department of Mechanical & Industrial Engineering, I.I.T. Roorkee,  July 6-10, 2009

 

·        “Lifting Scheme and Second Generation Wavelets”, Department of Mathematics, B.H.U. Varanasi, 22  Oct-5 Nov, 2008.

 

Administrative Positions:

 

Ø      Administrative Warden: Dr. C. V. Raman Hostel, From June 2006 - Sept 2009.

Ø      In-charge CAD lab: From July 2005 – Present.

 

Recent Papers Presented in Conferences:

 

·        Adaptive Grid Selection in Finite Element Method using Wavelets”, Int. Conference on Computational & Experimental Engineering and Sciences – 28 March – 1 April, 2010, Las Vegas, U.S.A.

 

·        B-Spline in Multilevel Wavelet Galerkin Solution of One Dimensional Problem” ,3rd Int. Congress on Computational Mechanics & Simulation, 1-5 Dec 2009, I.I.T. Mumbai.

 

·        Wavelet-Galerkin Method for Some Elasto-Statics Problems”, Int. Conference on Modeling of Engineering & Technological Problems www.siam-india.org 14-16 Jan 2009,  B.M.A.S.E.C., Agra.

 

·        Numerical Solution of One Dimensional Partial Differential Equations using Moving Least Square Based Wavelets”, IV National Conference on Applicable Mathematics in Wave Mechanics and Vibration 14-16 Nov., 2008, J.E.C.R.C. Jaipur.

 

Recent Publications in International Journals: ( Total Publications in Int. Journals: 33 )

 

1.      S.M. Quraishi and K. Sandeep, A Second Generation Wavelet based Finite Element on Triangulation, Computational Mechanics. Springer, DOI 10.1007/s00466-011-0586-5

 

2.      S.M. Quraishi and K. Sandeep, New cubic Hermite finite element wavelets with improved properties, International Journal of Wavelets Multiresolution and Information Processing , World Scientific. (Accepted)

 

3.      S.M. Quraishi and K. Sandeep, Multiscale modeling of plates using customized second generation wavelets, Journal of Engineering Mathematics, Springer. (Accepted)

 

4.      S.M. Quraishi and K. Sandeep, New bi-cubic spline wavelet based thin plate finite elements, International Journal for Multiscale Computational Engineering, Begell House. (Accepted)

 

5.      K. Sandeep and Kamal Kumar K, (2009), Use of B-Spline Function in Element Free Galerkin Method for Numerical Solution of Partial Differential Equation, Int. J. of Computational Methods, Vol 6, n 3, pp. 1-12.

 

6.      S.M. Quraishi, R Gupta and K. Sandeep, (2009) Adaptive Wavelet Galerkin Solution of Some Elastostatics Problems on Irregular Spaced Nodes, The Open Numerical Methods Journal, Vol 1, pp 20-25.

 

7.    R. K. Misra, S. Kumar, K. Sandeep and Ashok Misra, (2008) Dynamic Analysis of Banana Fibre Reinforced Low Density Polyethylene/ poly (e-caprolactone) Composites, J. of Mechanics of Materials and Structures, Vol 3,n. 1, pp 107-125.

 

8.    R. K. Misra., Sandeep Kumar, K. Sandeep and Ashok Misra, (2008)  Some Experimental and Theoretical Investigations on Fire Retardant Coir/Epoxy Micro-Composition, J. of Thermoplastic Composite Material,  Vol. 21,n. 1, pp 71-101.

 

9.    R.K. Misra, K. Sandeep and Ashok Misra, (2007) Analysis of Laminates using Multiquadric Radial Basis Function, Int. J. of Computational Methods in Engineering Science and Mechanics, Vol 8, n. 5, pp 303-312.

 

10.B. Pradhan, K. Sandeep, S. Mansor, A. R. Ramli and A. R. B. M. Sharif, (2007), Second Generation Wavelet Based GIS Terrain Data Compression Using Delaunay Triangulation , Engineering Computations (Emerald), Vol. 24, n. 2 pp. 200-213.

 

11.R.K. Misra, K. Sandeep and Ashok Misra, (2007) Analysis of Anisotropic Plate using Multiquadric Radial Basis Function, Engineering Analysis with Boundary Elements, Vol. 31, pp. 28-34.

 

12.B. Pradhan, K. Sandeep, S Mansor, (2007) GIS Terrain Data Compression using Lifting Scheme- A New Direction, Int. J. of the Computer, the Internet and Management, Vol. 15, n. 3. pp. 9-19.

 

 

Ø      Ph.D. 1 (Completed)  and 2 (in progress).


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