000013644 001__ 13644
000013644 005__ 20161114170126.0
000013644 04107 $$aeng
000013644 046__ $$k2011-05-25
000013644 100__ $$aCombescure, A.
000013644 24500 $$aAutomatic Local Error Control for 3D Non Linear Transient Dynamics with Multigrid Finite Elements

000013644 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013644 260__ $$bNational Technical University of Athens, 2011
000013644 506__ $$arestricted
000013644 520__ $$2eng$$aIt is of great interest for safety issues as well as for quality of the simulation to evaluate the quality and the precision of a numerical simulation: for example, one would like to control of maximum plastic strain in any point of the structure or the kinetic energy everywhere, or any other local quantity of interest. This problem is well known and has been studied from a long time for example with adaptative techniques in quasitatic linear or non linear analysis. The applications in dynamics are scarcer [1] and the applications for elastoplastic transient computations are rare [2].  This paper is dedicated to the presentation of a method based on localised multigrid to control the quality of the local quantity of a nonlinear transient computation within a unique run. The method provides the transient elastoplastic solution which verifies the requested precision anywhere and at any time. The basic idea is to refine locally at each time step a basic coarse mesh recursively until the requested precision on the quantity of interest is obtained. The reverse coarsening operation is also activated when the results are too “good”. The method will be explained and illustrated on 2D examples as well as on 3D cases for which the converged solution implies so fine meshes in some part that the 3D computation using this mesh size everywhere is impossible (not enough memory….) or extremely CPU time consuming. Moreover one shall observe that due to transient nature of the solution the finer meshed zones are moving with time. 

000013644 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013644 653__ $$a

000013644 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011
000013644 720__ $$aCombescure, A.$$iBiotteau, E.$$iGravouil, A.$$iLubrecht, A.
000013644 8560_ $$ffischerc@itam.cas.cz
000013644 8564_ $$s8632$$uhttps://invenio.itam.cas.cz/record/13644/files/428.pdf$$yOriginal version of the author's contribution as presented on CD, section: Semi - Plenary Lectures.
000013644 962__ $$r13401
000013644 980__ $$aPAPER