A spectral collocation method with triangular boundary elements

Engineering Analysis with Boundary Elements

Volumn 30, Issue 4, 2006, Pages 315-324

  Pozrikidis, C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Laplace's equation; Lobatto nodes; Spectral element methods; Triangles

Indexed keywords

BOUNDARY ELEMENT METHOD; CONVERGENCE OF NUMERICAL METHODS; HARMONIC ANALYSIS; INTEGRAL EQUATIONS; INTERPOLATION; NUMERICAL ANALYSIS; POLYNOMIAL APPROXIMATION;

BARYCENTRIC COORDINATES; COLLOCATION POINTS; LOBATTO NODES; SPECTRAL ELEMENT METHOD; SPECTRAL ELEMENT METHODS; TRIANGLES; VANDERMONDE MATRIX APPROACH;

MATHEMATICAL TECHNIQUES;

EID: 33644895741     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2005.11.005     Document Type: Article

References (13)

1. Blyth MG, Pozrikidis C. A Lobatto interpolation grid over the triangle. IMA J Appl Math, in press.
2. C.A. Brebbia The boundary element method for engineers 1978 Pentech Press London
3. C.A. Brebbia, and S. Walker Boundary element techniques in engineering 1980 Newnes-Butterworths London
4. G.E. Karniadakis, and S.J. Sherwin Spectral/hp element methods for CFD 1999 Oxford University Press Oxford
5. G.P. Muldowney, and J.J.L. Higdon A spectral boundary element approach to three-dimensional Stokes flow J Fluid Mech 298 1995 167 192
6. C. Pozrikidis Boundary integral and singularity methods for linearized viscous flow 1992 Cambridge University Press Cambridge
7. C. Pozrikidis A spectral-element method for particulate Stokes flow J Comp Phys 156 1999 360 381
8. C. Pozrikidis Introduction to theoretical and computational fluid dynamics 1997 Oxford University Press Oxford
9. C. Pozrikidis Numerical computation in science and engineering 1998 Oxford University Press Oxford
10. C. Pozrikidis A practical guide to boundary-element methods with the software library BEMLIB 2002 Chapman & Hall/CRC London
11. C. Pozrikidis Orbiting motion of a freely-suspended spheroid near a plane wall J Fluid Mech 541 2005 105 114
12. C. Pozrikidis Introduction to finite and spectral element methods with matlab 2005 Chapman & Hall/CRC London
13. J. Proriol Sur une famille de polynomes á deux variables orthogonaux dans un triangle C R Acad Sci Paris 245 1957 2459 2461