37 citations · 38 across the 3 of their papers we have counts for
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math.NA2023★ 1 cited
A -conforming arbitrary-order two-dimensional virtual element method for the fourth-order phase-field equation
Dibyendu Adak, Gianmarco Manzini, Hashem M. Mourad +2
We present a two-dimensional conforming virtual element method for the fourth-order phase-field equation. Our proposed numerical approach to the solution of this high-order phase-f…
math.NA2022★ 37 cited
A fourth-order phase-field fracture model: Formulation and numerical solution using a continuous/discontinuous Galerkin method
Lampros Svolos, Hashem M. Mourad, Gianmarco Manzini +1
Modeling crack initiation and propagation in brittle materials is of great importance to be able to predict sudden loss of load-carrying capacity and prevent catastrophic failure u…