000190591 001__ 190591
000190591 005__ 20190604054637.0
000190591 0247_ $$2doi$$a10.1016/B978-0-12-385963-1.00018-6
000190591 020__ $$a978-0-12-385963-1
000190591 037__ $$aBOOK_CHAP
000190591 245__ $$aSolving Wave Equations on Unstructured Geometries
000190591 269__ $$a2012
000190591 260__ $$bMorgan Kaufmann$$c2012
000190591 336__ $$aBook Chapters
000190591 490__ $$aApplications of GPU Computing Series
000190591 520__ $$aEvery wave solver serving the computational study of waves meets a trade-off of two figures of merit—its computational speed and its accuracy. The use of Discontinuous Galerkin (DG) methods on graphical processing units (GPUs) significantly lowers the cost of obtaining accurate solutions. DG methods for the numerical solution of partial differential equations have enjoyed considerable success because they are both flexible and robust. They allow arbitrary unstructured geometries and easy control of accuracy without compromising simulation stability. The resulting locality in memory access is one of the factors that enables DG to run on off-the-shelf, massively parallel graphics processors (GPUs). In addition, DG's high-order nature lets it require fewer data points per represented wavelength and hence fewer memory accesses, in exchange for higher arithmetic intensity. Both of these factors work significantly in favor of a GPU implementation of DG. Discontinuous Galerkin methods are most often used to solve hyperbolic systems of conservation laws in the time domain. Parabolic and elliptic equations can also be solved using DG methods.
000190591 700__ $$aKlöckner, Andreas
000190591 700__ $$aWarburton, Timothy
000190591 700__ $$0247428$$g232231$$aHesthaven, Jan S.
000190591 720_1 $$aHwu, Wen-mei W.$$eed.
000190591 773__ $$tGPU Computing Gems Jade Edition$$q225-242
000190591 8564_ $$uhttps://infoscience.epfl.ch/record/190591/files/GPU2012.pdf$$zPostprint$$s750645$$yPostprint
000190591 909C0 $$xU12703$$0252492$$pMCSS
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000190591 917Z8 $$x102085
000190591 917Z8 $$x232231
000190591 937__ $$aEPFL-CHAPTER-190591
000190591 973__ $$aOTHER$$sPUBLISHED
000190591 980__ $$aCHAPTER