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

Multi-physics simulations, such as conjugate heat transfer or fluid-structure interaction, are
often constructed completely in OpenFOAM. However, they can also be formed by coupling …

Reducing the computational time required by high‐fidelity, full‐order models (FOMs) for the
solution of problems in cardiac mechanics is crucial to allow the translation of patient …

This article proposes a novel high-performance computing approach for the prediction of the
temperature field in powder bed fusion (PBF) additive manufacturing (AM) processes. In …

This text presents contributions to efficient high-order finite element solvers in the context of
the project ExaDG, part of the DFG priority program 1648 Software for Exascale Computing …

In this work, we present a framework for the matrix-free solution to a monolithic quasi-static
phase-field fracture model with geometric multigrid methods. Using a standard matrix-based …

Phase-field fracture models lead to variational problems that can be written as a coupled
variational equality and inequality system. Numerically, such problems can be treated with …

We present an efficient solver for the simulation of many-particle solid-state-sintering
processes. The microstructure evolution is described by a system of equations consisting of …

Finite element analysis of solid mechanics is a foundational tool of modern engineering, with
low-order finite element methods and assembled sparse matrices representing the industry …

We develop a novel iterative solution method for the incompressible Navier–Stokes
equations with boundary conditions coupled with reduced models. The iterative algorithm is …