TY - GEN A1 - Gräser, Carsten A1 - Kornhuber, Ralf A1 - Sack, Uli T1 - Nonsmooth Schur-Newton methods for vector-valued Cahn-Hilliard equations N2 - We introduce nonsmooth Schur-Newton methods for the solution of the nonlinear discrete saddle-point problems arising from discretized vector-valued Cahn-Hilliard equations with logarithmic and obstacle potentials. The discrete problems are obtained by semi-implicit discretization in time and a first order finite element discretization in space. We incorporate the linear constraints that enforce solutions to stay on the Gibbs simplex using Lagrangian multipliers and prove existence of these multipliers under the assumption of a non-trivial initial condition for the order parameters. Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1039 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-10394 ER -