Research Interests

  • A posteriori error analysis and adaptive methods for evolution partial differential equations
  • Numerical solution and error control of equations in singular regimes
    (e.g., blow-up, semiclassical regimes)
  • Error analysis for the ALE formulations- Equations defined on time-dependent domains
  • Finite element methods
  • Time-splitting spectral methods
  • Finite element relaxation schemes for hyperbolic balance laws

My Research Statement in pdf form can be retrieved here