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Local Nonreflecting Boundary Conditionfor Time-Dependent Multiple Scattering

Grote, Marcus and Sim, Imbo. (2010) Local Nonreflecting Boundary Conditionfor Time-Dependent Multiple Scattering. Preprints Fachbereich Mathematik, 2010 (04).

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Official URL: https://edoc.unibas.ch/70052/

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Abstract

Starting from a high-order local nonreflecting boundary condition (NBC) for single scattering [25], we derive a local NBC for time-dependent multiple scattering problems, which is completely local both in space and time. To do so, we first develop an exterior evaluation formula for a purely outgoing wave field, given its values and those of certain auxiliary functions needed for the local NBC at the artificial boundary. By combining that evaluation formula with the decomposition of the total scattered field into purely outgoing contributions, we obtain a completely local NBC for time-dependent multiple scattering problems. The accuracy and stability of this new local NBC are evaluated by coupling it to a standard finite difference method.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Numerik (Grote)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Grote, Marcus J.
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:13 May 2019 19:50
Deposited On:28 Mar 2019 09:52

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