High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences-Reference-Cited by-同舟云学术

High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences

Published:2016-05 Issue: Volume:312 Page:252-271
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Amore Paolo,Boyd John P.,Fernández Francisco M.,Rösler Boris

Funder

Sistema Nacional de Investigadores

NSF

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference42 articles.

1. Solving the Helmholtz equation for membranes of arbitrary shape: numerical results;Amore;J. Phys. A,2008

2. Advanced Mathematical Methods for Scientists and Engineers I;Bender,1999

3. Reviving the method of particular solutions;Betcke;SIAM Rev.,2005

4. Finite element eigenvalue computation on domainswitch reentrant corners using Richardson extrapolation;Blum;J. Comput. Math.,1990

5. Defect Correction Methods. Theory and Applications,1984

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