We address time integration of computational mechanical models where the evaluation of
the forcing is expensive (molecular dynamics, for example), and hence we investigate …

We present two time integration algorithms with second-order accuracy for nonlinear
elastodynamics. The first algorithm is a two-parameter family blending the second-order and …

The consideration of plastic deformations in a dynamical framework is a demanding task in
computational mechanics, compare also Armero 1, or Meng and Laursen 2. In this …

A new approach for developing implicit composite time integration schemes is established
starting with rational approximations of the matrix exponential in the solution of the …

We propose and explore a new method for the implicit time integration of elastica. Key to our
approach is the use of a mixed variational principle. In turn, its finite element discretization …

In this dissertation we describe the formulation and analysis of a new class of time
integration schemes for nonlinear problems of elastodynamics. More specifically, we …

In this paper, we develop a finite element method for the temporal discretization of the
equations of motion. The continuous Galerkin method is based upon a weighted-residual …

This paper reports on recent progress in higher-order time integration of inelastic flow rules
for both viscoelasticity and elasto-plasticity. The particular focus is on the consistent and …

The physics of most mechanical systems can be described from a geometric viewpoint; ie,
by defining variational principles that the system obeys and the properties that are being …

In this thesis, the enhanced Galerkin (eG) finite element method in time is presented. The eG
method leads to higher order accurate energy and momentum conserving time integrators …