Numerical Analysis Seminars: On numerical solution of PDEs using adaptive methods based on equidistribution
19 January 2001 14:00 in CM105
The talk will give an overview of some of the work being done at Strathclyde on adaptive methods. It will focus on Hermite collocation solution of near-singular problems using coordinate transformations based on adaptivity. A coarse grid is generated by an adaptive finite difference method and this grid is used to construct a coordinate transformation that is based on monotonic cubic spline approximation. An uneven grid is then generated by means of the coordinate transformation and the differential problem is solved on this grid using Hermite collocation. Numerical results are presented for steady and unsteady problems in 1D and for steady problems in 2D.
Contact David.Bourne@durham.ac.uk for more information