Research Interests and Projects

• Nonlinear Elliptic PDEs
• Boundary Tracing
• Numerical Techniques
• C++
• Computer Graphics

Nonlinear Elliptic PDEs

• Glacier Problem
• p-Laplacian
• Laplace-Young Equation
• Dead Core Problem

Boundary Tracing

• General Theory
• Component Design
• The effect of rough surfaces

Numerical Technniques

• Interpolation
• 2D PDEs
• ODEs on manifolds embeded in 3D

C++

• Object Oriented Programming Techniques
• Deal.II Finite Element Library
• The elsolve PDE program

Computer Graphics

• Efficient view-dependent isosurfacing of implicit functions
• Efficient view-dependent rendering of displaced surfaces
• subdivision surfaces