Damage and fracture algorithm using the screened Poisson equation and local remeshing

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A phase-field modeling approach of fracture propagation in poroelastic media (2018, methodology): “Popular approaches include gradient damage models [13], screenedpoisson models [14] and phase field models [15].”
A peridynamics formulation for quasi-static fracture and contact in rock (2017, methodology): “The most popular continuous methods to fracture is probably the finite element method (FEM) which employs regularization techniques such as the screened Poisson equation in order to restore the well- posedness of the boundary value problem (Areias et al., 2016).”
Revisiting the problem of a crack impinging on an interface: A modeling framework for the interaction between the phase field approach for brittle fracture and the interface cohesive zone model (2017, methodology): “Most of the extensively used techniques to trigger quasi-brittle and ductile fracture events fall into the following general categories: (i) Continuum Damage Mechanics (CDM) models accounting for a smeared crack representation [19], which in their local version suffer from mesh dependency that has b”