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 …

We consider goal-oriented adaptive space-time finite-element discretizations of the
regularized parabolic p-Laplace problem on completely unstructured simplicial space-time …

In this work, we develop adaptive schemes using goal-oriented error control for a highly
nonlinear flow temperature model with temperature dependent density. The dual-weighted …

Recently, many advances have been done in the field of space-time finite element
discretizations for nonstationary partial differential equations. The temporal dimension leads …

In this work, we develop a posteriori error control for a generalized Boussinesq model in
which thermal conductivity and viscosity are temperature-dependent. Therein, the stationary …

In this work, we apply multi‐goal oriented error estimation to the finite element method. In
particular, we use the dual weighted residual method and apply it to a model problem. This …

This work demonstrates a solution-adaptive approach for solving fluid-structure interaction
problems using high-fidelity numerical methods along with a detailed analysis of mesh …

This work presents a numerical investigation of different approximation techniques for the
temporal weights used in the Dual Weighted Residual (DWR) method applied to a time …

This thesis is devoted to rate-optimal adaptive finite element methods (AFEMs) for
semilinear elliptic partial differential equations (PDEs). It considers a model problem with a …

In this work, we develop a posteriori error control for a generalized Boussinesq model in
which thermal conductivity and viscosity are temperature-dependent. Therein, the stationary …