TY - CONF A1 - Eiermann, Michael A1 - Ernst, O. A1 - Ullmann, Elisabeth A2 - Gürlebeck, Klaus A2 - Könke, Carsten T1 - SOLUTION STRATEGIES FOR STOCHASTIC FINITE ELEMENT DISCRETIZATIONS N2 - We consider efficient numerical methods for the solution of partial differential equations with stochastic coefficients or right hand side. The discretization is performed by the stochastic finite element method (SFEM). Separation of spatial and stochastic variables in the random input data is achieved via a Karhunen-Loève expansion or Wiener's polynomial chaos expansion. We discuss solution strategies for the Galerkin system that take advantage of the special structure of the system matrix. For stochastic coefficients linear in a set of independent random variables we employ Krylov subspace recycling techniques after having decoupled the large SFEM stiffness matrix. KW - Architektur KW - CAD KW - Computerunterstütztes Verfahren Y1 - 2006 UR - https://e-pub.uni-weimar.de/opus4/frontdoor/index/index/docId/2949 UR - https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20170327-29493 UR - http://euklid.bauing.uni-weimar.de/ikm2006/index.php_lang=de&what=papers.html ER -