𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Symmetric-Iterative Solution of Coupled BE and FE Discretizations for Elastoplastics

✍ Scribed by C.Y. Dong; Marc Bonnet


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
402 KB
Volume
178
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper the symmetric-iterative method of coupled FE and BE discretizations is adopted to investigate elastoplastic problems. In order to improve computational eciency, all degrees of freedom related to the BE region, except those degrees of freedom associated with interface, are condenced. The symmetric part of the stiness matrix from the boundary element region is assembled into the stiness matrix of the FEM, but antisymmetric part is taken as the corresponding inΒ―uential load matrix. During the elastoplastic solution process of the FEM, the numerical iterations which includes the inΒ―uence of the antisymmetry of the condensed stiness matrix are being carried out until the convergent results are obtained. Numerical examples are presented to illustrate the performance of the given algorithm and compared with the existing results.


πŸ“œ SIMILAR VOLUMES


ITERATIVE SOLUTION OF COUPLED FE/BE DISC
✍ Y. T. FENG; D. R. J. OWEN πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 734 KB

In the present paper, a scheme is developed for the coupled FE/BE analysis of a plate-foundation interaction problem, in which the boundary element equations of the foundation are not explicitly assembled with the finite element equations of the plate, but instead an iterative procedure is proposed

Novel preconditioners for the iterative
✍ Luca Bergamaschi; Massimiliano Ferronato; Giuseppe Gambolati πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 416 KB

A major computational issue in the finite element (FE) integration of coupled consolidation equations is the repeated solution in time of the resulting discretized indefinite system. Because of ill-conditioning, the iterative solution, which is recommended in large size 3D settings, requires the com

Iterative solution of panel method discr
✍ J. D'ElΓ­a; M. Storti; S. Idelsohn πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 319 KB πŸ‘ 2 views

The iterative solution of linear systems arising from panel method discretization of three-dimensional (3D) exterior potential problems coming mainly from aero-hydrodynamic engineering problems, is discussed. An original preconditioning based on an approximate eigenspace decomposition is proposed, w

An iterative method for the symmetric an
✍ Xingping Sheng; Guoliang Chen πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 676 KB

In this paper, two efficient iterative methods are presented to solve the symmetric and skew symmetric solutions of a linear matrix equation AXB + CYD = E, respectively, with real pair matrices X and Y . By these two iterative methods, the solvability of the symmetric and skew symmetric solutions fo

A COMPARISON OF COUPLED AND SEGREGATED I
✍ R. F. HANBY; D. J. SILVESTER; J. W. CHEW πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 1014 KB

In many popular solution algorithms for the incompressible Navier-Stokes equations the coupling between the momentum equations is neglected when the linearized momentum equations are solved to update the velocities. This is known to lead to poor convergence in highly swirling flows when coupling bet