This document presents comprehensive historical accounts on the developments of finite
element methods (FEM) since 1941, with a specific emphasis on developments related to …

A bridging domain method for coupling continuum models with molecular models is
described. In this method, the continuum and molecular domains are overlapped in a …

Finite element simulation of the laser powder bed fusion process is made challenging by the
inherently multiscale nature of the process. When using the typical global time stepping …

In computational structural dynamics, particularly in the presence of nonsmooth behavior,
the choice of the time-step and the time integrator has a critical impact on the feasibility of …

A new multiscale computational strategy was recently proposed for the analysis of structures
described both on a fine space scale and a fine time scale. This strategy, which involves …

A novel domain-decomposition least-squares Petrov–Galerkin (DD-LSPG) model-reduction
method applicable to parameterized systems of nonlinear algebraic equations (eg, arising …

This paper is a review of the developments of the Proper Generalized Decomposition (PGD)
method for the resolution, using the multiscale/multiphysics LATIN method, of the nonlinear …

This paper formulates, analyzes and demonstrates numerically a method for the explicit
partitioned solution of coupled interface problems involving combinations of projection …

In this paper, the multi-time-step method (MTS) of time integration is proposed to reduce the
computational cost of solving the dynamic interaction of a train-track-bridge coupled system …

A new formulation for the displacement‐only partitioned equations of motion for linear
structures is presented, which employs: the partitioned displacement, acceleration, and …