An improved local error estimator for symmetric time-stepping schemes
نویسندگان
چکیده
منابع مشابه
Local Time-stepping for Explicit Discontinuous Galerkin Schemes
A class of explicit discontinuous Galerkin schemes is described which time approximation is based on a predictor corrector formulation. The approximation at the new time level is obtained in one step with use of the information from the direct neighbors only. This allows to introduce a local time-stepping for unsteady simulations with the property that every grid cell runs with its own optimal ...
متن کاملSilent error detection in numerical time-stepping schemes
Errors due to hardware or low level software problems, if detected, can be fixed by various schemes, such as recomputation from a checkpoint. Silent errors are errors in application state that have escaped low-level error detection. At extreme scale, where machines can perform astronomically many operations per second, silent errors threaten the validity of computed results. We propose a new pa...
متن کاملSymmetric error estimates for discontinuous Galerkin time-stepping schemes for optimal control problems constrained to evolutionary Stokes equations
Abstract. We consider fully discrete finite element approximations of a distributed optimal control problem, constrained by the evolutionary Stokes equations. Conforming finite element methods for spatial discretization combined with discontinuous time-stepping Galerkin schemes are being used for the space-time discretization. Error estimates are proved under weak regularity hypotheses for the ...
متن کاملLocal time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems
Abdelaâziz Ezziani a,b Patrick Joly c aLaboratoire de mathématiques appliquées,CNRS UMR 5142, Université de Pau, IPRA-Avenue de l’université, B.P. 1155, 64013 Pau Cedex, France bTeam-Project Magique3D, INRIA Bordeaux-Sud Ouest Email: [email protected] cTeam-Project Poems, UMR 2706 CNRS-INRIA-ENSTA, INRIA Paris-Rocquencourt, B.P 105, 78153 Le Chesnay Cedex, France Email: Patrick.Jol...
متن کاملExplicit local time-stepping methods for time-dependent wave propagation
Semi-discrete Galerkin formulations of transient wave equations, either with conforming or discontinuous Galerkin finite element discretizations, typically lead to large systems of ordinary differential equations. When explicit time integration is used, the time-step is constrained by the smallest elements in the mesh for numerical stability, possibly a high price to pay. To overcome that overl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2018
ISSN: 0893-9659
DOI: 10.1016/j.aml.2018.03.001