In this paper, we introduce an implementation of the extended finite element method for fracture problems within the finite element software ABAQUSTM. User subroutine (UEL) in Abaqus is used to enable the incorporation of extended finite element capabilities. We provide details on the data input format together with the proposed user element subroutine, which constitutes the core of the finite ...

The subproblem is in a form of L1-regularized least squares. To perform a coordinate update in the CD subroutine, the training data is accessed/used in a feature-wise manner, which is the same as how data is used in CDN for problem (3.2). Thus, the applicability of the naive parallelization to the CD subroutine should hold here and the speedup is predicted to be at a comparable level. In additi...

This report documents a Fortran computer code package that is used for the evaluation of gas-phase multicomponent viscosities, thermal conductivities, diiusion coeecients, and thermal diiusion coeecients. The package is in two parts. The rst is a preprocessor that computes polynomial ts to the temperature dependent parts of the pure species viscosities and binary diiusion coeecients. The coeeci...

Atomistic spin dynamics simulations provide valuable information about the energy spectrum of magnetic materials in different phases, allowing one to identify instabilities and nature their excitations. However, time cost evaluating dynamical correlation function $S(\mathbf{q}, t)$ increases quadratically as number spins $N$, leading significant computational effort, making simulation large sys...

We investigate the following problem: Given two embeddings G1 and G2 of the same abstract graph G on an orientable surface S, decide whether G1 and G2 are isotopic; in other words, whether there exists a continuous family of embeddings between G1 and G2. We provide efficient algorithms to solve this problem in two models. In the first model, the input consists of the arrangement of G1 (resp., G...

Grain growth and hardness variation occurring in high-temperature heat affected zone (HAZ) during the welding processes are two thermal dependant aspects of great interest for both academic industrial research activities. This paper presents an innovative finite element (FE) model capable to describe grain decrease that occur gas metal arc (GMAW) commercial AISI 441 steel. The FE software SFTC ...