Research reports

Years: 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions

by I. Labarca and R. Hiptmair

(Report number 2020-49)

Abstract
Time domain acoustic scattering problems in two dimensions are studied. The numerical scheme relies on the use of Convolution Quadrature (CQ) method to reduce the time domain problem to the solution of frequency domain Helmholtz equations with complex wavenumbers. These equations are solved with the method of fundamental solutions (MFS), which approximates the solution by a linear combination of fundamental solutions defined at source points inside (outside) the scatterer for exterior (interior) problems. Numerical results show that the coupling of both methods works efficiently and accurately for multistep and multistage based CQ.

Keywords: acoustic wave scattering, convolution quadrature, method of fundamental solutions

@Techreport{LH20_922,
  author = {I. Labarca and R. Hiptmair},
  title = {Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2020-49},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2020/2020-49.pdf },
  year = {2020}
}

Disclaimer
© Copyright for documents on this server remains with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use. The administrators respectfully request that authors inform them when any paper is published to avoid copyright infringement. Note that unauthorised copying of copyright material is illegal and may lead to prosecution. Neither the administrators nor the Seminar for Applied Mathematics (SAM) accept any liability in this respect. The most recent version of a SAM report may differ in formatting and style from published journal version. Do reference the published version if possible (see SAM Publications).