We develop an immersed meshfree method under a variational multiscale framework for
modeling fluid–structure interactive systems involving shock waves. The proposed method …

This work presents an approach for automating the discretization and approximation
procedures in constructing digital representations of composites from micro-CT images …

We present a quasi-conforming embedded reproducing kernel particle method (QCE-
RKPM) for modeling heterogeneous materials that makes use of techniques not available to …

Abstract A 2 D Boundary Element Method (BEM) formulation, based on the representative
volume element (RVE) concept, simulates the mechanical behavior of experimentally tested …

Meshfree methods offer significant flexibility in discretizing partial differential equations,
including arbitrary smoothness uncoupled with the order of the approximation, and the …

The paper deals with a new effective numerical technique on unfitted Cartesian meshes for
simulations of heterogeneous elastic materials. We develop the optimal local truncation …

In this study, a variational multiscale stabilized locking-free meshfree formulation is
introduced for modeling Reissner–Mindlin plate problems under arbitrary plate thickness …

Physics informed neural network (PINN) frameworks have been developed as a powerful
technique for solving partial differential equations (PDEs) with potential data integration …

Recently, we have developed the optimal local truncation error method (OLTEM) for PDEs
with homogeneous materials on regular and irregular domains and Cartesian meshes as …

Heterogeneous systems, such as composites, are common in many areas of engineering. In
recent years, there has been interest in using mesoscale modeling to gain insight into the …