This monograph is centered on mathematical modeling, innovative numerical algorithms
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …

We propose and analyze a space-time finite element method for the numerical solution of
parabolic evolution equations. This approach allows the use of general and unstructured …

In this paper we derive a posteriori error estimates for space-time finite element
discretizations of parabolic optimization problems. The provided error estimates assess the …

In this work, we compare different mesh moving techniques for monolithically-coupled fluid-
structure interactions in arbitrary Lagrangian–Eulerian coordinates. The mesh movement is …

In this paper, we present fully implicit continuous Galerkin–Petrov (cGP) and discontinuous
Galerkin (dG) time‐stepping schemes for incompressible flow problems which are, in …

In this paper we develop a priori error analysis for Galerkin finite element discretizations of
optimal control problems governed by linear parabolic equations. The space discretization …

This paper is the second part of our work on a priori error analysis for finite element
discretizations of parabolic optimal control problems. In the first part [SIAM J. Control Optim …

This work reviews goal-oriented a posteriori error control, adaptivity and solver control for
finite element approximations to boundary and initial-boundary value problems for stationary …

In this work, the dual-weighted residual (DWR) method is applied to obtain an error-
controlled incremental proper orthogonal decomposition (POD) based reduced order model …

The dual weighted residual method (DWR) and its localization for mesh adaptivity applied to
elliptic partial differential equations are investigated. The contribution of this paper is twofold …