Talks and Poster Presentations (without Proceedings-Entry):
H. Hofstätter et al.:
"On splitting methods for nonlinear parabolic evolution equations";
Talk: 11th Austrian Numerical Analysis Day, 2015,
On a recent paper Einkemmer and Ostermann describe and propose
how to overcome order reduction phenomena for Strang splitting
applied to parabolic evolution equations with inhomogeneous,
possibly time-dependent Dirichlet boundary conditions.
Contrary to the impression conveyed earlier, order reduction can occur
even for homogeneous Dirichlet or Neumann boundary conditions,
particularly for inconsistent initial data. For high-order splitting
methods (with complex coefficients) this order reduction can
be very massive.
In this talk we try to understand this behavior. We give a preliminary
analysis of the local and global error both for consistent and
inconsistent initial data and illustrate our theoretical approach by
splitting methods, parabolic equations, order reduction
Created from the Publication Database of the Vienna University of Technology.