Numerical comparison of two meshfree methods for acoustic wave scattering

Engineering Analysis with Boundary Elements

Volumn 29, Issue 4, 2005, Pages 371-382

  Alves, Carlos J S ^a   Valtchev, Svilen S ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Acoustic scattering; Method of fundamental solutions; Plane waves

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; NUMERICAL METHODS; PROBLEM SOLVING; RADIAL BASIS FUNCTION NETWORKS;

METHOD OF FUNDAMENTAL SOLUTIONS; PLANE WAVES; PLANE WAVES METHOD (PWM); WAVENUMBERS;

ACOUSTIC WAVE SCATTERING;

EID: 18144429438     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2004.09.008     Document Type: Article

References (16)

1. C.J.S. Alves Density results on partial differential equations and the derivation of meshless methods ICES'03 conference proceedings in CD-ROM 2001
2. Alves CJS, Chen CS. A new method of fundamental solutions applied to nonhomogeneous elliptic problems, to appear in Adv Comput Math Submitted.
3. C.J.S. Alves, C.S. Chen, and B. Sarler The method of fundamental solutions for Poisson's problems C. Brebbia A. Tadeu V. Popov Boundary elements XXIV 2002 WIT Press Southampton 67 76
4. E.R. Arantes e Oliveira Plane stress analysis by a general integral method Proceedings of the ASCE engineering mechanics division, 94, EM1 1968 p. 79-101
5. A. Bogomolny Fundamental solutions method for elliptic boundary value problems SIAM J Numer Anal 22 1985 644 669
6. G.N. Borzdov Plane-wave superpositions defined by orthonormal scalar functions on two and three dimensional manifolds Phys Rev E 61 1999 4462 4478
7. W. Chen Boundary knot method for Laplace and biharmonic problems Proceedings of the 14th Nordic seminar on computational mechanics 2001 p. 117-20
8. W. Chen, and Y.C. Hon Numerical convergence of the boundary knot method in the analysis of Helmholtz, modified Helmholtz, and convection-diffusion problems Comput Meth Appl Mech Eng 192 2003 1859 1875
9. D. Colton, and R. Kress Inverse acoustic and electromagnetic scattering theory 2nd ed Applied mathematical science vol. 93 1998 Springer Berlin, Heidelberg
10. G. Fairweather, and A. Karageorghis The method of fundamental solutions for elliptic boundary value problems Adv Comput Math 9 1998 69 95
11. G. Fairweather, A. Karageorghis, and P.A. Martin The method of fundamental solutions for scattering and radiation problems Eng Anal Bound Elem 27 2003 759 769
12. M.A. Golberg, and C.S. Chen The method of fundamental solutions for potential, Helmholtz and diffusion problems M.A. Golberg Boundary integral methods and mathematical aspects 1999 WIT Press Southampton 105 176
13. A. Karageorghis, and G. Fairweather The method of fundamental solutions for axisymmetric potential problems Int J Numer Meth Eng 44 1999 1653 1669
14. M. Katsurada Asymptotic error analysis of the charge simulation method in a Jordan region with an analytic boundary J Fac Sci Univ Tokio 37 1990 635 657
15. V.D. Kupradze, and M.A. Aleksidze The method of functional equations for an approximate solution of certain boundary value problems, U.S.S.R Comput Math Comput Phys 4 1964 82 126
16. R. Mathon, and R.L. Johnson The approximate solution of elliptic boundary-value problems by fundamental solutions SIAM J Numer Anal 14 1977 638 650