Back to Events of Friday 15th December 2017
Friday | 11:15 AM | Mixed Finite Element Discretizations for Polyharmonic Equations Prof. Mira Schedensack, University of Münster The splitting of poyharmonic equations into lower-order equations is subtle as the obvious splitting requires smoothness of the solution that might not be guaranteed by the elliptic regularity of the underlying PDE. This talk introduces a new splitting based on a Helmholtz-type decomposition. This splitting does only require the natural Sobolev regularity that is given by the weak formulation. The new mixed formulation allows for standard Lagrange ansatz functions of arbitrary polynomial degree. This talk will also state a posteriori error estimates and will illustrate the new method in numerical experiments. Applications include, e.g., the biharmonic problem from plate theory. Address Mathematikon Conference Room / 5th Floor Im Neuenheimer Feld 205 69120 Heidelberg Homepage Event www.iwr.uni-heidelberg.de/events Organizer Interdisciplinary Center for Scientific Computing (IWR) Homepage Organizer Contact |