Diaz, Julien and Grote, Marcus. (2015) Multi-Level Explicit LocalTime-Stepping Methodsfor Second-OrderWave Equations. Preprints Fachbereich Mathematik, 2015 (14).
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Official URL: https://edoc.unibas.ch/69996/
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Abstract
Local mesh refinement severly impedes the effciency of explicit time-stepping methods for numerical wave propagation. Local time-stepping (LTS) methods overcome the bottleneck due to a few small elements by allowing smaller time-steps precisely where those elements are located. Yet when the region of local mesh refinement itself contains a sub-region of even smaller elements, any local time-step again will be overly restricted. To remedy the repeated bottleneck caused by hierarchical mesh refinement, multi-level local time-stepping methods are proposed, which permit the use of the appropriate time-step at every level of mesh refinement. Based on the LTS methods from [1], these multi-level LTS methods are explicit, yield arbitrarily high accuracy and conserve the energy. Numerical experiments illustrate the theoretical properties and the usefulness of these methods.
Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Numerik (Grote) 12 Special Collections > Preprints Fachbereich Mathematik |
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UniBasel Contributors: | Grote, Marcus J. |
Item Type: | Preprint |
Publisher: | Universität Basel |
Language: | English |
edoc DOI: | |
Last Modified: | 07 May 2019 15:55 |
Deposited On: | 28 Mar 2019 09:51 |
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