We introduce novel adaptive methods to approximate moments of solutions of partial
differential Equations (PDEs) with uncertain parametric inputs. A typical problem in …

In this paper, we discuss adaptive approximations of an elliptic eigenvalue optimization
problem in a phase-field setting by a conforming finite element method. An adaptive …

This manuscript is concerned with a posteriori error estimation for the finite element
discretization of standard and fractional partial differential equations as well as an …

We discuss goal-oriented adaptivity in the frame of conforming finite element methods and
plain convergence of the related a posteriori error estimator for different general marking …

We consider the adaptive finite element discretization of parameter estimation problems for
nonlinear elliptic partial differential equations. The idea is to use a gradient method on the …

We derive space-time finite element methods for parabolic evolution problems on
completely unstructured decompositions of the space-time cylinder $ Q\subset\mathbb …

We introduce novel adaptive methods to approximate Partial Differential Equations (PDEs)
with uncertain parametric inputs. A typical problem in Uncertainty Quantification is the …