000014366 001__ 14366
000014366 005__ 20161115100149.0
000014366 04107 $$aeng
000014366 046__ $$k2016-08-21
000014366 100__ $$aWang, Jizeng
000014366 24500 $$aA wavelet-based method with arbitrary high order of accuracy for nonlinear problems in mechanics

000014366 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014366 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014366 506__ $$arestricted
000014366 520__ $$2eng$$aA high-order wavelet-based solution method is developed for general nonlinear boundary value problems in mechanics. This method is established based on a Coiflet (a typical wavelet) approximation of n-tuple integrals of interval bounded functions combined with an accurate and adjustable boundary extension technique. Accuracy order of the proposed method is proven to be any positive even number N as long as the Coiflet with N vanishing moment is adopted. And most interestingly, this accuracy is independent of the highest order of derivatives in the equation to be solved. Error analysis and numerical examples of a wide range of nonlinear mechanical problems have demonstrate that the proposed wavelet method has a much better accuracy and efficiency than most major existing methods.

000014366 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014366 653__ $$a

000014366 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014366 720__ $$aWang, Jizeng
000014366 8560_ $$ffischerc@itam.cas.cz
000014366 8564_ $$s159665$$uhttps://invenio.itam.cas.cz/record/14366/files/PO.SM15-1.14.207.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2955, code PO.SM15-1.14.207
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000014366 962__ $$r13812
000014366 980__ $$aPAPER