free boundary problems
- evolution of curves and surfaces governed by curvature,
anisotropy and external forces, solved by
-
Level-set methods
-
Langrangean methods
-
Phase-field approaches
image processing
image smoothing by anisotropic and geometry
driven diffusion
image segmentation by curvature driven flows
3D image sequence processing
flow in porous media and simulations of
groundwater flows
physical geodesy - determination of Earth geoid by
the boundary element method
numerical methods for derivative securities pricing in financial mathematics
Examples of our research
Flow
in Porous Media
Flow
in Porous Media with Strong Absorption
Turbulent Flow
in Porous Media
Two-phase Flow
in Porous Media
Image Processing
Anisotropic
Diffusion in Image Selective Smoothing (Including Coarsening Finite Element
Strategy)
Slow
and Fast Diffusion Effects in Image Processing
Adaptivity in 3D Image Processing
Geometry
Driven Diffusion in Medicine
Processing of Image Sequences
Evolution of Curves and Surfaces by Curvature and Anisotropy
Anisotropic
Motions of Convex Phase Interfaces Using Porous Medium Equation
Anisotropic Curvature
Driven Evolution of Plane Curves Using Intrinsic Heat Equations
Curvature
Driven Evolution of Plane Curves Using Level Set Equation
Anisotropic Curvature
Driven Evolution of Plane Curves Using Phase-Field Formulation
Mean
Curvature Flow of Radially Symmetric Surfaces