37 citations · 74 across the 6 of their papers we have counts for
6 papers
Analysis and Mitigation of Cascading Failures Using a Stochastic Interaction Graph with Eigen-analysis
Zhenping Guo, Xiaowen Su, Kai Sun +2
In studies on complex network systems using graph theory, eigen-analysis is typically performed on an undirected graph model of the network. However, when analyzing cascading failu…
Recursive Schur Decomposition
Rahul S. Sampath, Bobby Philip, Srikanth Allu +1
In this article, we present a parallel recursive algorithm based on multi-level domain decomposition that can be used as a precondtioner to a Krylov subspace method to solve sparse…
Time Parallel Scalable Multiphysics/Multiscale Framework
George Frantziskonis, Krishna Muralidharan, Pierre Deymier +2
We propose a new computational framework that combines the recently developed time-parallel (TP) and the compound wavelet matrix (CWM) methods. The framework, termed tpCWM, offers…
Scaling of Fracture Strength in Disordered Quasi-Brittle Materials
Phani Kumar V. V. Nukala, Srdjan Simunovic
This paper presents two main results. The first result indicates that in materials with broadly distributed microscopic heterogeneities, the fracture strength distribution correspo…
An Efficient Block Circulant Preconditioner For Simulating Fracture Using Large Fuse Networks
Phani Kumar V. V. Nukala, Srdjan Simunovic
{\it Critical slowing down} associated with the iterative solvers close to the critical point often hinders large-scale numerical simulation of fracture using discrete lattice netw…
An Efficient Algorithm For Simulating Fracture Using Large Fuse Networks
Phani Kumar V. V. Nukala, Srdjan Simunovic
The high computational cost involved in modeling of the progressive fracture simulations using large discrete lattice networks stems from the requirement to solve {\it a new large…