29 citations · 46 across the 5 of their papers we have counts for
5 papers · 1 filter
A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints
Mirjam Walloth, Winnifried Wollner
Within this article, we develop a residual type a posteriori error estimator for a time discrete quasi-static phase-field fracture model. Particular emphasize is given to the robus…
Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture
Seshadri Basava, Katrin Mang, Mirjam Walloth +2
In this work, we consider pressurized phase-field fracture problems in nearly and fully incompressible materials. To this end, a mixed form for the solid equations is proposed. To…
Adaptive Numerical Simulation of a Phase-field Fracture Model in Mixed Form tested on an L-shaped Specimen with High Poisson Ratios
Katrin Mang, Mirjam Walloth, Thomas Wick +1
This work presents a new adaptive approach for the numerical simulation of a phase-field model for fractures in nearly incompressible solids. In order to cope with locking effects,…
Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator
Katrin Mang, Mirjam Walloth, Thomas Wick +1
In this work, we consider adaptive mesh refinement for a monolithic phase-field description for fractures in brittle materials. Our approach is based on an a posteriori error estim…
Residual-type A Posteriori Estimators for a Singularly Perturbed Reaction-Diffusion Variational Inequality -- Reliability, Efficiency and Robustness
Mirjam Walloth
We derive a new residual-type a posteriori estimator for a singularly perturbed reaction-diffusion problem with obstacle constraints. It generalizes robust residual estimators for…