A Wavelet Optimized Adaptive Multi-domain Method

Journal of Computational Physics

Volumn 145, Issue 1, 1998, Pages 280-296

  Hesthaven, J S ^a   Jameson, L M ^b  

^a BROWN UNIVERSITY   (United States)

^b UNIVERSITY OF HAWAII   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONTROL NONLINEARITIES; DISCRETE WAVELET TRANSFORMS; FINITE DIFFERENCE METHOD; GEOMETRY;

ARBITRARY GRIDS; COLLOCATION METHOD; COMPLEX GEOMETRIES; DAUBECHIES WAVELET; DOMAIN FORMULATION; DOMAIN METHODS; FINITE-DIFFERENCE METHODS; MULTI DIMENSIONAL; MULTI-DOMAINS; WAVELET-BASED METHODS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0000177179     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.6012     Document Type: Article

References (21)

1. Meyer Y. Ondelettes et Operators. 1990.
2. Daubechies I. Ten Lectures on Wavelets. 61:1992.
3. Strang G., Nguyen T. Wavelets and Filter Banks. 1996.
4. Harten A. Multiresolution Representation and Numerical Algorithms: A Brief Review. 1994.
5. Erlebacher G., Hussaini M. Y., Jameson L. Wavelets: Theory and Applications. 1996.
6. Waldén J. Wavelet solvers for hyperbolic PDE's, Acta Univ. Ups. Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology. 240:1996.
7. Jameson L. Wavelets and Numerical Methods. 1993.
8. Holmström M. Solving Hyperbolic PDE's Using Interpolating Wavelets. 1996.
9. Cai W., Wang J. Z. Adaptive wavelet collocation methods for initial value boundary problems of nonlinear PDE's. SIAM J. Numer. Anal. 33:1996;937.
10. Jameson L. On the Wavelet-Optimized Finite Difference Method. 1994.
11. L. Jameson, A wavelet-optimized, very high order adaptive grid and order numerical method, SIAM J. Sci. Comput.
12. L. Jameson, Wavelet-based grid generation, Appl. Numer. Anal.
13. Jameson L. On the wavelet based differentiation matrix. J. Sci. Comput. 8:1993;267.
14. Jameson L. On the differentiation matrix for Daubechies-based wavelets on an interval. SIAM J. Sci. Comput. 17:1996;498.
15. Canuto C., Hussaini M. Y., Quarteroni A., Zang T. A. Spectral Methods in Fluid Dynamics. 1988.
16. Hesthaven J. S. A stable penalty method for the compressible Navier-Stokes equations. II. One dimensional domain decomposition methods. SIAM J. Sci. Comput. 18:1997;658.
17. J. S. Hesthaven, A stable penalty method for the compressible Navier-Stokes equations. III. Multidimensional domain decomposition methods, SIAM J. Sci. Comput.
18. Fischer P., Gottlieb D. On the optimal number of subdomains for hyperbolic problems on parallel computers. Int. J. Supercomputer Appl. High Perform. Comput. 11:1997;65.
19. Daubechies I. Orthonormal basis of compactly supported wavelets. Comm. Pure Appl. Math. 41:1988;909.
20. Beylkin G. On the representation of operators in bases of compactly supported wavelets. SIAM J. Numer. Anal. 29:1992;1716.
21. Fornberg B. Generation of finite difference formulas on arbitrarily spaced grids. Math. Comp. 51:1988;699.