Extended variational theory of complex rays in heterogeneous Helmholtz problem
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Mechanical Engineering,Ocean Engineering,Computational Mechanics
Link
http://link.springer.com/article/10.1007/s00466-017-1385-4/fulltext.html
Reference23 articles.
1. Strouboulis T, Hidajat R (2006) Partition of unity method for Helmholtz equation: q-convergence for plane-wave and wave-band local bases. Appl Math 51:181–204
2. Cessenat O, Despres B (1998) Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. SIAM J Numer Anal 35:255–299
3. Gabard G, Gamallo P, Huttunen T (2011) A comparison of wave-based discontinuous Galerkin, ultra-weak and least-square methods for wave problems. Int J Numer Methods Eng 85:380–402
4. Gittelson CJ, Hiptmair R, Perugia I (2009) Plane wave discontinuous Galerkin methods: analysis of the h-version. ESAIM Math Model Numer Anal 43:297–331
5. Barnett A, Betcke T (2008) Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains. J Comput Phys 227:7003–7026
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