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Research Group

Current Post-Doctoral Fellows

Past Graduate Students


Publications

  1. (with J. Ovall, S. Reynolds and S. Weisser) Trefftz finite elements on curvilinear polygons, Submitted (2019).
  2. (with F. Ecevit and Y. Boubendir) Galerkin boundary element methods for high-frequency multiple-scattering problems, Submitted (2019).
  3. (with S. Chavan and S. Trivedi) Analytic m-isometries without the wandering subspace property, Submitted (2019).
  4. (with S. Chavan, Zenon Jan Jabłoński and Jan Stochel) A solution to the Cauchy dual subnormality problem for 2-isometries, Submitted (2018).
  5. (with A. K. Tiwari) A Fourier extension based numerical integration scheme for fast and high-order approximation of convolutions with weakly singular kernels, SIAM Journal of Scientific Computing, to appear (2019).
  6. (with S. Chavan, Zenon Jan Jabłoński and Jan Stochel) Complete systems of unitary invariants for some classes of 2-isometries, Banach Journal of Mathematical Analysis, Volume 13, Pages 359-385 (2019).
  7. (with A. Pandey) Improved convergence of fast integral equation solvers for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface, Journal of Computational Physics, Volume 376, Pages 767-785 (2019).
  8. (with J. Ovall and S. Weisser) A Nyström-based finite element method on polygonal elements, Computers and Mathematics with Applications, Volume 75, Issue 11, Pages 3971-3986 (2018).
  9. (with S. Chavan) Module tensor product of subnormal modules need not be subnormal, Journal of Functional Analysis, Volume 272, Issue 11, Pages 4752-4761 (2017).
  10. (with S. Chavan) A Moment Problem and Joint q-isometry Tuples, Complex Analysis and Operator Theory, Volume 11, Issue 4, Pages 785-810 (2017).
  11. (with A. Pandey, B. V. R. Kumar and J. Paul) An effcient high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface, Journal of Computational Physics, Volume 311, Pages 258-274 (2016).
  12. (with J. Ovall and C. Turc) Well-conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners, Journal of Integral Equations and Applications, Volume 24, Issue 3, Pages 1-38 (2012).
  13. (with R. Dalmeya, I. Sharma and C. Upadhyay) Contact of a rigid cylindrical punch with an adhesive elastic layer, Journal of Adhesion, Volume 88, Issue 1, Pages 1-31 (2012).
  14. (with Y. Boubendir, F. Reitich and F. Ecevit) Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case, Numerische Mathematik, Vol. 114, No. 3, Pages 373-427 (2010).
  15. (with F. Reitich) An efficient high-order algorithm for acoustic scattering from penetrable thin structures in three dimensions, Journal of Acoustical Society of America, Vol. 121, Issue 5, Pages 2503-2514 (2007).

Proceedings

  1. (with J. Paul and B. V. R. Kumar) Acoustic scattering by inhomogeneous media with piecewise smooth material properties. Proceedings of the 13th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), May 15-19, 2017, University of Minnesota, Twin Cities, USA, Pages 285--286.
  2. (with A. Pandey and B. V. R. Kumar) A high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media in three dimensions. Proceedings of the 12th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), July 20-24, 2015, Karlsruhe Institute of Technology, Germany.
  3. (with A. K. Tiwari and A. Pandey) A high-order Nyström solver for electromagnetic scattering from orthotropic media. Proceedings of the 12th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), July 20-24, 2015, Karlsruhe Institute of Technology, Germany.
  4. (with J. Paul, A. Pandey and B. V. R. Kumar) A high-order solver for inhomogeneous penetrable scattering in two dimensions. Proceedings of the 12th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), July 20-24, 2015, Karlsruhe Institute of Technology, Germany.
  5. (with A. Pandey and J. Paul) A high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media in two dimensions. Proceedings of the 11th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), June 3-7, 2013, Gammarth, Tunisia.
  6. (with U. Anand and J. Singh) A fast and robust star identification algorithm for star tracker. Proceedings of the National Conference on Applications and Challenges in Space Based Navigation, April 17-18, 2013.
  7. (with J. Singh, J. Rammohan and A. Pandey) The earth gravitational field model for inertial navigation of space vehicle. Proceedings of the National Conference on Applications and Challenges in Space Based Navigation, April 17-18, 2013.
  8. (with C. Turc, O. Bruno and J. Chaubell) Efficient solution of threedimensional problems of acoustic and electromagnetic scattering by open surfaces. Proceedings of the 10th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), July 25-29, 2011, Vancouver, Canada.