Dominicus, AlexanderGaspoz, FernandoKreuzer, Christian2019-01-242019-01-242019-012190-1767http://hdl.handle.net/2003/3788910.17877/DE290R-19876We develop a basic convergence analysis for an adaptive C0IPG method for the Biharmonic problem which provides convergence without rates for all practically relevant marking strategies and all penalty parameters assuring coercivity of the method. The analysis hinges on embedding properties of (broken) Sobolev and BV spaces, and the construction of a suitable limit space. In contrast to the convergence result of adaptive discontinuous Galerkin methods for elliptic PDEs, by Kreuzer and Georgoulis, here we have to deal with the fact that the Lagrange finite element spaces may possibly contain no proper C1-conforming subspace. This prevents from a straight forward generalisation and requires the development of some new key technical tools.enErgebnisberichte des Instituts für Angewandte Mathematik;593adaptive discontinuous Galerkin methodsquadratic C0-interior penalty methodconvergencebiharmonic problem610preprint