1 citations · 1 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
An -adaptive discontinuous Galerkin discretization of a static anti-plane shear crack model
Ram Manohar, S. M. Mallikarjunaiah
We propose an -adaptive discontinuous Galerkin finite element method (DGFEM) to approximate the solution of a static crack boundary value problem. The mathematical model descri…