@ARTICLE{HeRuSt04, author = {Hesse, M. and Rumpf, M. and Sturm, K.-T.}, title = {Discretization and convergence for harmonic maps into trees}, journal = {Calculus of Variations}, year = {2004}, volume = {21}, pages = {113--136}, abstract = {The nonlinear Dirichlet problem is considered for maps from a two dimensional domain into trees with one branch point. The Dirichlet energy is defined using a semigroup approach based on Markov kernels. The problem is discretized using a suitable finite element approach and convergence of a corresponding iterative numerical method is proved. The presented approach integrates stochastic methods on discrete lattices and finite element projection techniques. Finally, a couple of numerical results are presented.}, pdf = {http://numod.ins.uni-bonn.de/research/papers/public/HeRuSt04.pdf}, printed = {1} }