DeepAI AI Chat
Log In Sign Up

A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints

by   Mirjam Walloth, et al.

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 robustness of the error estimator for the variational inequality governing the phase-field evolution with respect to the phase-field regularization parameter ϵ. The article concludes with numerical examples highlighting the performance of the proposed a posteriori error estimators on three standard test cases; the single edge notched tension and shear test as well as the L-shaped panel test.


page 21

page 22

page 26


Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator

In this work, we consider adaptive mesh refinement for a monolithic phas...

Some Observations on A Posteriori Error Estimation for Maxwell Equations

We extend the framework of a posteriori error estimation by precondition...

Residual-Based a Posteriori Error Estimator for a Multi-scale Cancer Invasion Model

In this work, we analyze the residual-based a posteriori error estimatio...

A micromorphic phase-field model for brittle and quasi-brittle fracture

The phase-field model for fracture, despite its popularity and ease of i...

A-posteriori error estimation and adaptivity for multiple-network poroelasticity

The multiple-network poroelasticity (MPET) equations describe deformatio...

Partial quasi likelihood analysis

The quasi likelihood analysis is generalized to the partial quasi likeli...