Local convergence analysis for a certain class of inexact methods.
Local Convergence Analysis for Partitioned Quasi-Newton Updates.
Local convergence for the curve tracing of the homotopy method.
Local minimizers of functionals with multiple volume constraints
We study variational problems with volume constraints, i.e., with level sets of prescribed measure. We introduce a numerical method to approximate local minimizers and illustrate it with some two-dimensional examples. We demonstrate numerically nonexistence results which had been obtained analytically in previous work. Moreover, we show the existence of discontinuous dependence of global minimizers from the data by using a Γ-limit argument and illustrate this with numerical computations. Finally...