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math.NA2025
A convergent adaptive finite element method for a phase-field model of dynamic fracture
Ram Manohar, S. M. Mallikarjuaniah
We propose and analyze an adaptive finite element method for a phase-field model of dynamic brittle fracture. The model couples a second-order hyperbolic equation for elastodynamic…
math.NA2025★ 1 cited
Adaptive finite element convergence analysis of AT1 phase-field model for quasi-static fracture in strain-limiting solids
Ram Manohar, S. M. Mallikarjunaiah
This research rigorously investigates the convergence of adaptive finite element methods for regularized variational models of quasi-static brittle fracture in elastic solids. We s…
math.NA2025
Convergence Analysis of Adaptive Finite Element Algorithms for a Regularized Variational Model of Quasi-Static Brittle Fracture in "Strain-Limiting" Elastic Solids
Ram Manohar, S. M. Mallikarjunaiah
The rigorous convergence analysis of adaptive finite element methods for regularized variational models of quasi-static brittle fracture in strain-limiting elastic solids is presen…