MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs

We present an easily accessible, object oriented code (written exclusively in Matlab) for adaptive finite element simulations 2D. It features various refinement routines triangular meshes as well fully vectorized FEM ansatz spaces of arbitrary polynomial order and allows problems with very general coefficients. In particular, our can handle typically arising from iterative linearization methods used to solve nonlinear PDEs. Due the programming paradigm, be is readily extensible. explain basic principles give numerical experiments that underline its flexibility efficiency.