The particle finite element method (PFEM) is a powerful and robust numerical tool for the
simulation of multi-physics problems in evolving domains. The PFEM exploits the …

This is an overview of the new directions we have taken the space–time (ST) methods in
bringing solution and analysis to different classes of computationally challenging …

In this paper, a novel node-based explicit smoothed particle finite element method (SPFEM),
on the basis of the particle finite element method (PFEM) framework, is utilized to evaluate …

The paper presents a numerical wave flume with porous media of variable porosity. A fully-
Lagrangian computational method is developed for simulation of fluid flow interactions with …

In this study, a simple PFEM approach for analyzing large deformation problems in
geotechnical practice is implemented in the commercial FEM package Abaqus. The main …

In this work, a three-dimensional multi-layer SPH method is presented for generic water–soil
dynamic coupling problems. Based on the mixture theory, two mathematical models using …

Most existing two-phase, two-layer Material Point Method (MPM) programs operate in
explicit form, which lacks computational efficiency. This study proposes a high-performance …

To address the computational challenges associated with contact between moving
interfaces, such as those in cardiovascular fluid–structure interaction (FSI), parachute FSI …

We present the space–time variational multiscale (ST-VMS) method for flow computations
with slip interfaces (ST-SI). The method is intended for fluid–structure interaction (FSI) …

We present the core and special multiscale space–time (ST) methods we developed for
thermo-fluid analysis of a ground vehicle and its tires. We also present application of these …