High Order Polygonal Grids and Cut Cells (Polynomial degree 2 or 3)
Seminar Room 1, Newton Institute
The method will be of uniform representation order 2 or 3, which implies the convergence order. Any Polygonal grid, consisting of triangles or quadrilaterals may be used. As an example the icosahedral grid will be presented. Inside each cell the serendipity representation will be used. The dynamic equations are derived from the L-Galerkin method. This method differs from classical Galerkin by being strictly local. Examples for smooth solutions in the presence of irregular points will be given.