Timo Heister

TL;DR: In this paper, a primal-dual active set strategy is proposed to enforce crack irreversibility as a constraint, which can be identified as a semi-smooth Newton method, and the active set iteration is merged with the Newton iteration for solving the fully-coupled nonlinear partial differential equation discretized using finite elements.

TL;DR: In this paper, the first author was supported by the Graduate School in Mathematics and Computing (FMB) at Uppsala University, Sweden and the second and third authors are supported in part through the Computational Infrastructure in Geodynamics initiative (CIG), through the National Science Foundation under Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).

TL;DR: An overview of the new features of the finite element library deal in version 8.4.II is provided.

TL;DR: An overview of the new features of the finite element library deal, version 9.1.II is provided.

TL;DR: This work develops scalable algorithms and data structures for generic finite element methods that consider the parallel distribution of mesh data, global enumeration of degrees of freedom, constraints, and postprocessing, and removes the bottlenecks that typically limit large-scale adaptive finite element analyses.