000190436 001__ 190436
000190436 005__ 20181203023325.0
000190436 0247_ $$2doi$$a10.1006/jcph.1998.6012
000190436 022__ $$a0021-9991
000190436 02470 $$2ISI$$a000075617200011
000190436 037__ $$aARTICLE
000190436 245__ $$aA wavelet optimized adaptive multi-domain method
000190436 260__ $$bACADEMIC PRESS INC$$c1998
000190436 269__ $$a1998
000190436 336__ $$aJournal Articles
000190436 520__ $$aThe formulation and implementation of wavelet based methods for the solution of multi-dimensional partial differential equations in complex geometries is discussed. Utilizing the close connection between Daubechies wavelets and finite difference methods on arbitrary grids, we formulate a wavelet based collocation method, well suited for dealing with general boundary conditions and nonlinearities. To circumvent problems associated with completely arbitary grids and complex geometries we propose to use a multi-domain formulation in which to solve the partial differential equation, with the ability to adapt the grid as well as the order of the scheme within each subdomain. Besides supplying the required geometric flexibility, the multidomain formulation also provides a very natural load-balanced data-decomposition, suitable for parallel environments. The performance of the overall scheme is illustrated by solving two dimensional hyperbolic problems. (C) 1998 Academic Press.
000190436 700__ $$0247428$$g232231$$aHesthaven, Jan S.
000190436 700__ $$aJameson, LM
000190436 773__ $$j145$$tJournal of Computational Physics$$k1$$q280-296
000190436 909C0 $$xU12703$$0252492$$pMCSS
000190436 909CO $$pSB$$particle$$ooai:infoscience.tind.io:190436
000190436 937__ $$aEPFL-ARTICLE-190436
000190436 970__ $$aHesthaven1998i/MCSS
000190436 973__ $$rREVIEWED$$sPUBLISHED$$aOTHER
000190436 980__ $$aARTICLE