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Scientific Computing
Scientific Computing

JProf. Dr. Mira Schedensack, Angewandte Mathematik Münster, Institut für Analysis und Numerik, Westfälische Wilhelms-Universität Münster

Mathematikon, Conference Room / 5th Floor, Im Neuenheimer Feld 205

HGS MathComp

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.

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