Discrete duality finite volume scheme for numerical solution of regularized level set equation.
Presented by Mrs. Angela HANDLOVICOVA
Type: Oral presentation
Track: Numerical Methods for Partial Differential Equations
Discrete duality finite volume (DDFV) scheme established in recent years for elliptic problems is used for solving regularized level set equation. Semi-implicit DDFV numerical scheme for the solution of the regularized curvature driven level set equation is derived in 2D and 3D. Stability and convergence of the numerical solution to the weak solution is proved in 2D. Numerical experiments in 2D and 3D concerning accuracy and experimental order of convergence for presented schemes are included.