كتاب
Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation
| العنوان: | Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation |
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| المؤلفون: | Grote, Marcus J., Mehlin, Michaela, Sauter, Stefan A. |
| المصدر: | ISSN: 2365-662X. |
| بيانات النشر: | Karlsruher Institut für Technologie |
| سنة النشر: | 2017 |
| المجموعة: | KITopen (Karlsruhe Institute of Technologie) |
| مصطلحات موضوعية: | wave propagation, finite element methods, explicit time integration, leap-frog method, error analysis, convergence theory, ddc:510, Mathematics, info:eu-repo/classification/ddc/510 |
| الوصف: | Local adaptivity and mesh refinement are key to the efficient simulation of wave phenomena in heterogeneous media or complex geometry. Locally refined meshes, however, dictate a small time-step everywhere with a crippling effect on any explicit time-marching method. In [18] a leap-frog (LF) based explicit local time-stepping (LTS) method was proposed, which overcomes the severe bottleneck due to a few small elements by taking small time-steps in the locally refined region and larger steps elsewhere. Here optimal convergence rates are rigorously proved for the fully-discrete LTS-LF method when combined with a standard conforming finite element method (FEM) in space. Numerical results further illustrate the usefulness of the LTS-LF Galerkin FEM in the presence of corner singularities. |
| نوع الوثيقة: | book report |
| وصف الملف: | application/pdf |
| اللغة: | English |
| العلاقة: | CRC 1173; info:eu-repo/semantics/altIdentifier/issn/2365-662X; https://publikationen.bibliothek.kit.edu/1000075943Test; https://publikationen.bibliothek.kit.edu/1000075943/4499417Test; https://doi.org/10.5445/IR/1000075943Test; http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:swb:90-759433Test |
| DOI: | 10.5445/IR/1000075943 |
| الإتاحة: | https://doi.org/10.5445/IR/1000075943Test https://publikationen.bibliothek.kit.edu/1000075943Test https://publikationen.bibliothek.kit.edu/1000075943/4499417Test http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:swb:90-759433Test |
| حقوق: | KITopen License, https://publikationen.bibliothek.kit.edu/kitopen-lizenzTest ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.F13BFB32 |
| قاعدة البيانات: | BASE |
| DOI: | 10.5445/IR/1000075943 |
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