Browsing by Author "Schwab, Christoph"
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- ItemA convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, ElmarWe analyze a-posteriori error estimation and adaptive refinement algorithms for stochastic Galerkin Finite Element methods for countably-parametric, elliptic boundary value problems. A residual error estimator which separates the effects of gpc-Galerkin discretization in parameter space and of the Finite Element discretization in physical space in energy norm is established. It is proved that the adaptive algorithm converges, and to this end we establish a contraction property satisfied by its iterates. It is shown that the sequences of triangulations which are produced by the algorithm in the FE discretization of the active gpc coefficients are asymptotically optimal. Numerical experiments illustrate the theoretical results.
- ItemDiscontinuous Galerkin Methods(Oberwolfach-Walke : Mathematisches Forschungsinstitut Oberwolfach, 2002) Schwab, Christoph; Süli, Endre[no abstract available]
- ItemFast Numerical Methods for Non-local Operators(Zürich : EMS Publ. House, 2004) Sauter, Stefan; Schwab, Christoph[no abstract available]
- ItemMathematische Analyse von FEM für Probleme in der Mechanik(Oberwolfach-Walke : Mathematisches Forschungsinstitut Oberwolfach, 1999) Ramm, Ekkehard; Schwab, Christoph[no abstract available]
- ItemMultiple Scale Systems-Modeling, Analysis and Numerics(Oberwolfach-Walke : Mathematisches Forschungsinstitut Oberwolfach, 2003) Mikelic, Andro; Schwab, Christoph[no abstract available]
- ItemNew Trends in Boundary Elements(Oberwolfach-Walke : Mathematisches Forschungsinstitut Oberwolfach, 2002) Schwab, Christoph; Stephan, Ernst P.; Wendland, Wolfgang L.[no abstract available]
- ItemReactive Flow and Transport Through Complex Systems(Zürich : EMS Publ. House, 2005) Mikelic, Andro; Schwab, ChristophThe meeting focused on mathematical aspects of reactive flow, diffusion and transport through complex systems. The research interest of the participants varied from physical modeling using PDEs, mathematical modeling using upscaling and homogenization, numerical analysis of PDEs describing reactive transport, PDEs from fluid mechanics, computational methods for random media and computational multiscale methods.