Research

Research Experience and Interests

• • Robust numerical methods for partial differential equations, e.g. isogeometric methods, discontinuous Galerkin (DG) methods, h-p spectral/finite element methods.

  • Computational engineering problems, e.g. solid mechanics, fluid mechanics, electromagnetics, water waves, free surface flows, and use of above numerical methods to solve such problems.

  • Fast direct/iterative linear algebra solution techniques.

  • Robust and guaranteed a-posteriori error estimates.

  • Scientific software development, and parallel computing.

See also Publications, Talks, Projects and Scientific Visits.

Past Affiliations

• • American Mathematical Society (AMS), Society for Industrial and Applied Mathematics (SIAM). Also, Computational Science and Engineering, and Supercomputing activity groups of SIAM.