Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

This paper presents a lightweight, open-source and high-performance python package for
solving peridynamics problems in solid mechanics. The development of this solver is …

Today's multi-physics simulations suffer from a lack of either flexibility or scalability. Only
reconciling both will allow for translating the higher compute power of the forthcoming exa …

Robust prediction of the behavior of complex physical and engineering systems relies on
approximating solutions in terms of physical and stochastic domains. For higher resolution …

A variety of methods is available to quantify uncertainties arising within the modeling of flow
and transport in carbon dioxide storage, but there is a lack of thorough comparisons …

Abstract The multifidelity Monte Carlo method provides a general framework for combining
cheap low-fidelity approximations of an expensive high-fidelity model to accelerate the …

Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

We formulate four novel context-aware algorithms based on model hierarchies aimed to
enable an efficient quantification of uncertainty in complex, computationally expensive …

This paper shows a new approach to estimate the critical traction for Mode I crack opening
before crack growth by numerical simulation. For quasi-static loading, Linear Elastic Fracture …

We present a multilevel stochastic collocation (MLSC) with a dimensionality reduction
approach to quantify the uncertainty in computationally intensive applications. Standard …