Campuses:

Shelvean Kapita

  • Postdoctoral Fellow
  • Lind Hall 434
  • Institute for Mathematics and its Applications
  • University of Minnesota
  • 207 Church Street SE
  • Minneapolis, MN USA 55455
  • CV

Research

My research interests lie at the intersection of Numerical Analysis, Partial Differential Equations and Scientific Computing. In particular I work on Finite Element Methods (FEM) for partial differential equations with applications in acoustics, electromagnetism, optics and elasticity. My recent work involves applying the Plane Wave Discontinuous Galerkin Method (PWDG) to problems in acoustic scattering.

Publications

  1. A Trefftz Discontinuous Galerkin Method for Time Harmonic Waves with Generalized Impedance Boundary Conditions., S. Kapita, P. Monk, V. Selgas, submitted to Applicable Analysis
  2. A Plane Wave Discontinuous Galerkin Method with a Dirichlet-to-Neumann Boundary Condition for a Scattering Problem in Acoustics, S. Kapita, P. Monk, Journal of Computational and Applied Mathematics, 327, 208-225, 2018.
  3. Residual based Adaptivity and PWDG Methods for the Helmholtz Equation, S. Kapita, P. Monk, T. Warburton, SIAM Journal on Scientific Computing , 37, A1525-A1553, 2015.
  4. On Isoperimetric Surfaces in General Relativity, F. Abedin, J. Corvino, S. Kapita, H. Wu, Journal of Geometry and Physics , 59, 1453-1460, 2009.

Teaching

While I was a Ph.D. student in Applied Mathematics at the University of Delaware, I was an instructor and teaching assistant (TA) for the following courses
  1. Lab TA: MATH 243 Analytic Geometry and Calculus C (Spring 2015)
  2. Instructor: MATH 243 Analytic Geometry and Calculus C (Winter 2015)
  3. Instructor: MATH 221 Calculus 1 (Winter 2012, Winter 2013, Winter 2014)
  4. TA: MATH 241 Analytic Geometry and Calculus A (Fall 2010, Spring 2012)
  5. Lab TA: MATH 242 Analytic Geometry and Calculus B (Fall 2011)