TITLE

Coupling subdomains with heterogeneous time integrators and incompatible time steps

AUTHOR(S)
Mahjoubi, Najib; Gravouil, Anthony; Combescure, Alain
PUB. DATE
December 2009
SOURCE
Computational Mechanics;Dec2009, Vol. 44 Issue 6, p825
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The work presented in this publication can be categorized among domain decomposition methods of the dual Schur type applied to structural dynamics. This approach leads to lower CPU times and better control of the accuracy of the time discretization and allows to take into account multi-time-scale effects which arise in transient structural dynamics. In order to consider incompatible time scales, one has to enforce continuity at the interfaces between the subdomains. Here, we propose a general formalism which enables the coupling of subdomains with their own numerical time integration scheme. The proposed method enables one to take into account possible nonlinearities which may present different time scale between the subdomains in a general manner for a wide range of time numerical scheme. This method also offers an important improvement for industrial software with easy implementation. Linear and nonlinear numerical examples are proposed in order to show the efficiency and the robustness of the method.
ACCESSION #
44336652

 

Related Articles

  • A Non-Overlapping Domain Decomposition Method for the Advection-Diffusion Problem. Lube, G.; M�ller, L.; Otto, F.C. // Computing;2000, Vol. 64 Issue 1, p49 

    The application of a non-overlapping domain decomposition method to the solution of a stabilized finite element method for elliptic boundary value problems is considered. We derive an a-posteriori error estimate which bounds the error on the subdomains by the interface error of the subdomain...

  • BDDC preconditioners for continuous and discontinuous Galerkin methods using spectral/hp elements with variable local polynomial degree. Canuto, Claudio; Pavarino, Luca F.; Pieri, Alexandre B. // IMA Journal of Numerical Analysis;Jul2014, Vol. 34 Issue 3, p879 

    Locally adapted meshes and polynomial degrees can greatly improve spectral element accuracy and applicability. A balancing domain decomposition by constraints (BDDC) preconditioner is constructed and analysed for both continuous (CG) and discontinuous (DG) Galerkin discretizations of scalar...

  • NATURAL BOUNDARY INTEGRAL METHOD AND ITS NEW DEVELOPMENT. De-hao Yu // Journal of Computational Mathematics;Mar2004, Vol. 22 Issue 2, p309 

    In this paper, the natural boundary integral method, and some related methods, including coupling method of the natural boundary elements and finite elements, which is also called DtN method or the method with exact artificial boundary conditions, domain decomposition methods based on the...

  • Preconditioning Poincar�Steklov operators arising from domain decompositions with mortar multipliers. Hu, Qiya // IMA Journal of Numerical Analysis;Oct2004, Vol. 24 Issue 4, p643 

    In this paper, we are concerned with the non-overlapping domain decomposition method with non-matching grids for three-dimensional elliptic equations. For this method, the interface variable is chosen as the mortar multiplier. We first develop a class of inexact solvers for the interface...

  • MODIFICATION OF THE DYNAMICS CHARACTERISTICS USING A REANALYSIS PROCEDURES TECHNIQUE - NEW RESULTS. Trišović, Nataša; Maneski, Taško; Trišović, Tomislav; Milović, Ljubica // Journal of Trends in the Development of Machinery & Associated T;2012, Vol. 16 Issue 1, p219 

    The present paper deals with the problem of dynamic improving characteristics for a sub-structure (bucket wheel excavator) of a complex mining structure. The procedure used in this paper is concerned with the analysis of the distribution of potential and kinetic energy in every element of...

  • STRUCTURAL VIBRATIONS: NORMAL MODES IN A HAND-BELL. Hansen, Uwe J. // Proceedings of the Indiana Academy of Science;2013, Vol. 122 Issue 2, p118 

    The vibrational modes contributing most significantly to the radiated sound of hand-bells, are the bending waves travelling along the bell surface with periodic boundary conditions in the angular direction, nearly clamped boundaries near the crown, and free boundary conditions at the mouth of...

  • IMPROVING STRUCTURE DYNAMIC BEHAVIOUR USING A REANALYSIS PROCEDURES TECHNIQUE. Allaboudi, Ezedine; Maneski, Tasko; Trisovic, Natasa; Ergić, Todor // Tehnicki vjesnik / Technical Gazette;Mar/Apr2013, Vol. 20 Issue 2, p297 

    The present paper deals with the problem of improving dynamic characteristics for a sub-structure of bucket wheel excavator. The procedure is concerned with the analysis of the distribution of potential and kinetic energy in elements of the structure, which gives prediction for which elements...

  • Active vibration control of smart hull structures using piezoelectric actuators. Sohn, J. W.; Kim, H. S.; Choi, S. B. // Proceedings of the Institution of Mechanical Engineers -- Part C;Sep2006, Vol. 220 Issue 9, p1329 

    In this study, dynamic characteristics of an end-capped hull structure with surfacebonded piezoelectric actuators are studied and active vibration controller is designed to suppress the undesired vibration of the structure. Finite-element modelling is used to obtain practical governing equation...

  • Matlab Implementation of the Finite Element Method in Elasticity. Alberty, J.; Carstensen, C.; Funken, S. A.; Klose, R. // Computing;2002, Vol. 69 Issue 3, p239 

    A short Matlab implementation for P[sub 1] and Q[sub 1] finite elements (FE) is provided for the numerical solution of 2d and 3d problems in linear elasticity with mixed boundary conditions. Any adaptation from the simple model examples provided to more complex problems can easily be performed...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics