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Sarvesh Kumar-Profile : IIST
  • 11:02 PM, Sunday, 24 Sep 2017

Department of Mathematics
     
Sarvesh Kumar, Ph.D.
Associate Professor
 
Office
Tel:+91-471-2568514
Fax:
Email:sarvesh@iist.ac.in / rajputsarvesh@gmail.com













Education
  • B.Sc : Vardhman College Bijnor  (M.J.P. Rohilkhand University, Bareilly), 1998.
  • M.Sc : Vardhman College Bijnor (M.J.P. Rohilkhand University, Bareilly), 2000.
  • Ph.D : IIT Bombay (2008).

Course Offered

Calculus, Differential equations, Linear Algebra ,  complex Analysis, Functional Analysis, Numerical Analysis and  Partial differential equations.


Experience
  • Research Associate in the Department of Mathematics at IIT Bombay from  April  2008 to  August 2008
  • Sep 2008 to April 2011, Assistant professor, BITS, Pilnai-K.K.  Birla Goa Campus, Goa.

Research Work / Area
  • Computational Partial Differential Equations
  • Finite Volume Element Methods
  • Finite Element Methods
  • Discontinuous Galerkin  Methods.
Refereed International Journals:
  1. Sarvesh Kumar, Neela Nataraj and  Amiya K. Pani:  “Finite Volume Element Method for Second Order Hyperbolic Equations”. International Journal of  Numerical Analysis and Modeling, Vol. 5 (2008), 132-151.
  2. Sarvesh Kumar, Neela Nataraj and Amiya K. Pani: “Discontinuous Finite Volume Element Methods for Second Order Linear Elliptic Problems”.  Numerical Methods for Partial Differential Equations,  Vol.25 (2009), 1402-1424.
  3. Sarvesh Kumar: “A  Mixed and Discontinuous Finite Volume Element Method for Incompressible Miscible Displacement in Porous Media”,  Numerical Methods for Partial Differential Equations. Vol. 28(2012), 1351-1381.
  4. Sarvesh Kumar: “On the approximations incompressible miscible displacement problems in porous media by mixed and standard finite volume element methods”, International Journal of Modeling, Simulation and Scientific Computing, 4(3), ID 1350013, 2013.
  5. Sarvesh Kumar: Finite volume approximations for incompressible miscible displacement problems in porous media with modified methods of characteristics”, LNCS, pp. 379-386, 2013
  6. Sarvesh Kumar and Sangita Yadav :Modified methods of characteristics combined finite volume element methods for incompressible miscible displacement problems in porous media.” International Journal of Partial Differential Equations, ID 245086, 16 pages,  2014 .
  7. Raimund Burger, Sarvesh Kumar and Ricardo Ruiz-Baier: Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation, Journal of Computational Physics, 299 (2015), 446-471.
  8. Sarvesh Kumar and Ricardo Ruiz -Baier: Equal-order discontinuous finite   volume elements for the Stokes problem, Journal of Scientific Computing, 65 (2015), 956-978.
  9. Ruchi Sandilya and Sarvesh Kumar: Convergence analysis of discontinuous finite volume method for elliptic control problems, International Journal of Computational Methods, 13 (2016), 1640012 (20 pages) .
  10. Ruchi Sandilya and Sarvesh Kumar: On discontinuous finite volume approximations for semilinear parabolic optimal control problems, International Journal of Numerical Analysis and Modeling, Vol 14(2016), 545-568 .
  11. Raimund Burger, Sarvesh Kumar, Sudarshan Kumar K and Ricardo Ruiz-Baier: Finite volume element-discontinuous Galerkin approximation of viscous two-phase flow in heterogeneous porous media, Journal of Computational Physics, 321 (2016), 126-150.
  12. Ruchi Sandilya and Sarvesh Kumar: Convergence of discontinuous finite volume discretizations for a semi linear hyperbolic optimal control problem, International Journal of Numerical Analysis and Modeling,Vol. 13 (2016), 926-950
  13. Dibyendu Adak, E. Natarajan and Sarvesh Kumar: A new nonconforming finite element method for convection dominated diffusion -reaction equations, International Journal of Advances in Engineering Sciences and Applied Mathematics Vol 8 (2016), 274-283.
  14. Ruchi Sandilya and Sarvesh Kumar: Discontinuous interpolated finite volume approximations for semi-linear elliptic control problems, Numerical Methods for Partial Differential Equations (In Press)
International Conferences:
  1. Sarvesh Kumar, Neela Nataraj and  Amiya K. Pani : “Finite Volume Element Method for the Incompressible Miscible Displacement Problems  in Porous Media”  Proc. Appl. Math. Mech. (PAMM) vol. 7, pp. 2020015-2020016, 2007.
  2. Sarvesh Kumar: Discontinuous finite volume element methods and its applications in miscible displacement problems, appeared  in the proceedings of SCTEMM 2013, held at Russia, July 08-13, 2013.
  3. Ruchi Sandilya and Sarvesh Kumar: Discontinuous finite volume element  methods for elliptic optimal control problem, appeared in the Proceedings of ICCM 2014, held at Cambridge, England, July 28-30, 2014.2.
  4. Ruchi Sandilya and Sarvesh Kumar: Discontinuous finite volume methods for parabolic optimal control problems", Proceedings of International Conference on Mathematics, November 26-28, 2015, University of Kerala. Mathematical Sciences International Research Journal, Vol. 4(2), 15-22, 2015.
  5. Raimund Burger, Sarvesh Kumar, Sudarshan Kumar K and Ricardo Ruiz-Baier: A discontinuous method for oil-water flow in heterogeneous porous media, Proc. Appl. Math. Mech. (PAMM) vol. 16, pp. 763-764, 2016. .
  6. S. Kumar, R. Ruiz Baier, and R. Sandilya : Discontinuous finite volume element methods for the optimal control of Brinkman equations. In C. Cancès and P. Omnes, editors, Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems, volume 200 of Springer Proc. Math. Stat., pages 307–315. Springer International Publishing, 2017.
  7. Ruchi Sandilya, Raju. K. George, Sarvesh Kumar, Trajectory controllability of semilinear parabolic system, Journal of analysis, DOI 10.1007/s41478-017-0048-3, Proceedings of ICMAA.
Submitted Articles:
  1. Dibyendu Adak, E. Natarajan and Sarvesh Kumar: Convergence analysis of Virtual Element Methods for semilinear parabolic problems on polygonal meshes.
  2. Sarvesh Kumar, Ricardo-Ruiz Baier and Ruchi Sandilya: A priori error estimates for discontinuous finite volume discretizations of the Brinkman optimal control problems. .
  1. On " Interpolated virtual element methods for semi-linear elliptic problems" Panjab University, Chandigarh, 05-09 December, 2016.
  2. Institute Colloquium on “Discontinuous finite volume element methods and its applications” at TIFR Bangalore, India, October 20, 2015.
  3. Invited talk on “Convergence analysis of finite volume method” International Conference on Current Trend in PDEs: Theory and Computations, South Asian University, Delhi, 28-30 December, 2015.
  4. Motivating lecture in SCIENCE TALENT ENRICHMENT PROGRAMME (STEP 2015) held at IISER, December 17, 2015.
  5. An institute level talk “On discontinuous finite volume element methods and its application in oil reservoir Studies, University the Concepcion, Chile, June 17, 2014.
  6. On “finite volume element methods" in an International conference on Mathematics and Engineering Science, Chitkara University, HP, India, March 20-22, 2014.
  7. On “Discontinuous finite volume methods”, in the international conference on emerging trends in applied Mathematics, University of Calcutta, Kolkata, February 12-14, 2014.
  8. Invited talk on “Discontinuous finite volume element methods and its application to miscible displacement problems in porous media,” in Second international Conference Supercomputer Technologies of Mathematical Modeling, Yakutsk, Russia, July 09, 2013.
  9. On “Finite Volume Approximations for Incompressible Miscible Displacement Problems in Porous Media with Modified Method of Characteristics" in the Fifth conference on Numerical Analysis and Applications, Lozentz, Bulgaria, June 15-20, 2012.
  10. On “Modified Method of Characteristics Combined with finite volume element methods for Incompressible Miscible Displacement Problems in Porous media", in the international Conference on Advances in Modeling, Optimization and Computing" at IIT Roorkee, Roorkee, December 05-07, 2011.
  11. On “A combined mixed and discontinuous finite volume element method for Incompressible Miscible Displacement Problems in Porous media", in the International Conference on Recent Trends in Computational Partial Differential Equations". 10- 13 December 2008, IIT Bombay, Powai, Mumbai.
  12. On “Finite Volume Element Method for Incompressible Miscible Displacement Problems in Porous Media", in the Sixth International Congress on Industrial and Applied Mathematics, 16 - 20 July, 2007, Zurich, Switzerland.
  13. On “Finite Volume Element Method for Hyperbolic equations in Convex Polygonal Domain", in the International Conference on Scientific Computing and its application, 16 -22 May 2006, Banff, Alberta, Canada.
  1. Two lectures on “ linear algebra” in 3-day FDP on “ Recent trends in Signal Processing” , 01-03, March 2017, College of Engineering, Cherthala, Kerala
  2. Ten lectures in lecture series on " Numerical techniques and programming in MATLAB, at Purvanchal University, July 22-28, 2016.
  3. Three lectures in "Workshop on high performance scientific computing" IISER Trivandrum, 09-10 June, 2016.
  4. Six lectures on "Numerical solution of ODEs" in NPDE-TCA's under graduate programme, IIST Trivandrum, May 18-June 07, 2016.
  5. Three lectures in "Workshop on high performance scientific computing" IISER Trivandrum, 09-10 June.
  6. Four lectures in YTN-2016, IIST, during May 24-June 06, 2016.
  7. Six lectures in "Computational Techniques for differential equations" SVNIT Surat, 02-06 May, 2016.
  8. Two lectures in faculty training programme on "Differential Equations and its applications"   College of Engineering Karunagapally, Kerala, Feb. 25, 2016.
  9. Delivered three lectures in faculty development programme on "Mathematical Techniques in Engineering Research” at RIT Kottayam, Kerala December 11, 2015..
  10. Delivered five lectures in a workshop on "Numerical Computation using MATLAB " held at Purvanchal University, Jaunpur U.P, November 26-30, 2015 .
  11. Delivered two lectures in faculty training programme at College of Engineering Karunagapally, Kerala, October 28, 2015.
  12. Two talks at VSSC in a 2 Days training programme on “CFD in Propulsion", August 6-7, 2015.
  13. Delivered two lectures on finite element methods for control problems in the workshop on “Computational methods for control problems held at Mar Ivanios College Trivandrum, March 16-21, 2015.
  14. Delivered three lectures on Linear Algebra and Applications in “Young talent nurture programme" organized by IIST Trivandrum, 28th May to 8th June, 2013.
  15. Given 2 lectures on Theoretical Finite Element Methods in Intensive Workshop on "Scienctific Computation" during 21 July 2009 to 25 July, 2009, BITS Goa.

1. VSSC project:  Project accepted with VSSC ( Vikaram Sarabhai Space Center)  SMSD Team in developing modules for FEAST Software (Finite element analysis of structures), this project is jointly written with Dr. E. Natarajan, Assistant Professor, Department of Mathematics, IIST Trivandrum.

  • Project Title:  Algebraic Multi-grid methods (AMG) for solving  sparse linear system
  • Grant:  Approx.  5 lacs
  • Duration: 1 and ½ year.
  • Date of approval: April 13, 2016

 

 

 

2.   IIST  Project: An IIST research proposal which was submitted to IIST Trivandrum jointly written with Dr. Deepak Mishra (Department of Avionics, IIST Trivandrum):

 

  • Project title:Development and Analysis of Image Fusion Techniques for Satellite Images.
  • Duration:  2 year.
  • Grant:  6 lacs
  • Date of acceptance:  28/10/2015