2 papers
math.NA2025
A Hybrid-High Order method for fracture modelling
Alessandra Crippa, Julien Coatléven, Daniele A. Di Pietro +2
In this work, we introduce a new Hybrid High-Order method for the numerical simulation of fracture propagation based on phase-field models. The proposed method supports general mes…
math.NA2025
A posteriori error estimates and adaptivity for locally conservative methods. Inexpensive implementation and evaluation, polytopal meshes, iterative linearization and algebraic solvers, and applications to complex porous media flows
Martin Vohralík, Soleiman Yousef
A posteriori estimates give bounds on the error between the unknown solution of a partial differential equation and its numerical approximation. We present here the methodology bas…