Research Interest

    My research interests are related to Numerical Analysis and Scientific Computing. I have focused on design and analysis of highly efficient and robust numerical methods for solving differential equations. In particular, my research work can be characterized by the following keywords:

    Isogeometric analysis, Finite element methods, Error estimation and adaptivity, Compatible discretization of PDEs, Numerical analysis of singular perturbation problems, Domain decomposition methods, Deep Learning, Medical image processing.

In past years, I have worked on the following research projects:

  • Large Scale Thermal Energy Storage (LS-TES) project

    R & D challenge: Develop Finite Element Analysis Capabilities that Enables Coupled Thermal Stress Analysis and Heat Transfer Through Solids. NEST AS Project on Thermal Energy Storage, funded by Research Council of Norway and Industrial Partners (see www.energy-nest.com).

  • NOWITECH Project on Offshore Wind Technology

    Adaptive Methods For Accurate CFD-Simulations of Aerodynamic Loads On Offshore Wind Turbines. NOWITECH Project on Offshore Wind Technology, funded by Research Council of Norway and Industrial Partners (see www.sintef.no/projectweb/nowitech).

  • GEOPDEs Project

    Innovative Compatible Discretization Techniques For Partial Differential Equations GEOPDEs Project, funded by European Research Council, (see www.geopdes.apnetwork.it).

Overview of Current Research

  • Characterization of T-Splines with reduced continuity order PDF

  • Error estimator using Serendipity pairing of approximation spaces with LR B-splines PDF

  • Divergence-conforming discretization of Lid-driven cavity flow problem PDF

  • Goal oriented error estimation in isogeometric analysis(manuscript in preparation)

  • Adaptive isogeometric method for incompressible flows (manuscript in preparation)

  • Isogeometric finite element solver for thermal stress analysis (manuscript in preparation)