Most of computations (subdomain problems) appearing in FETI-type methods are purely local and therefore parallelizable without any data transfers. However, if we want to accelerate also dual actions, some communication is needed due to primal-dual transition. Distribution of primal matrices is quite straightforward. Each of cores works with local part associated with its subdomains. A natural e...

Large-scale topological changes play a key role in capturing the fine debris of fracturing virtual brittle material. Real-world, tough fractures have dynamic branching behaviour but numerical simulation this phenomena is notoriously challenging. In order to robustly capture these visual characteristics, we simulate fracture by combining elastodynamic continuum mechanical models with rigid-body ...

Abstract The paper deals with the elastostatic modeling of a multi-link flexible manipulator based on two-dimensional (2D) dual-triangle tensegrity mechanism and its nonlinear behavior under external loading. main attention is paid to static equilibriums stiffness loading for arbitrary initial configuration. It was proved that there quasi-buckling phenomenon this while increasing. In neighborho...

In this paper, the imaging of hydraulic fractures from tilt measurements is investigated with regards to model selection. The quantitative selection of the most probable model in a finite set of fracture geometry and loading is carried out using Bayes factors. The modeling error variance is also estimated during the inversion procedure. Such model selection method allows to retrieve a known lim...

Analysis and theoretical comparison between several fixed point strategies and Uzawa algorithms (for classical and augmented Lagrangian) are performed to solve the so called Signorini problem with Coulomb friction without any regularization. Thanks to a formalism coming from convex analysis, some new fixed point strategies are presented and compared to already known methods. The analysis is fir...

This paper is concerned with the error estimation of fast multipole method (FMM) for scattering problems in 2-D. The FMM caused by truncating Graf’s addition theorem each step algorithm, including two expansions and three translations. We first give a novel bound on truncation limiting forms Bessel Neumann functions, then estimate FMM. Explicit its convergence order are derived. proposed this c...