000012307 001__ 12307
000012307 005__ 20141205160040.0
000012307 04107 $$aeng
000012307 046__ $$k2008-10-12
000012307 100__ $$aZhang, Xinming
000012307 24500 $$aNumerical Simulation of Biot-Wave Equation in Porous Medium

000012307 24630 $$n14.$$pProceedings of the 14th World Conference on Earthquake Engineering
000012307 260__ $$b
000012307 506__ $$arestricted
000012307 520__ $$2eng$$aIn this paper, a wavelet Galerkin finite element method is proposed by combing the wavelet analysis with traditional finite element method to analyze wave propagation phenomena in fluid-saturated porous medium. The scaling functions of Daubechies wavelets are considered as the interpolation basis functions to replace the polynomial functions, and then the wavelet element is constructed. In order to overcome the integral difficulty for lacking of the explicit expression for the Daubechies wavelets, a kind of characteristic function are introduced. The recursive expression of calculating the function value of Daubechies wavelets on the fraction nodes is deduced, and the rapid wavelet transform between the wavelet coefficient space and the wave field displacement space is constructed. The results of numerical simulation demonstrate the method is effective.

000012307 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012307 653__ $$aPorous Medium, Wavelet Galerkin Finite Element Method, Daubechies Wavelet, Scaling Function, Rapid Wavelet Transform

000012307 7112_ $$a14th World Conference on Earthquake Engineering$$cBejing (CN)$$d2008-10-12 / 2008-10-17$$gWCEE15
000012307 720__ $$aZhang, Xinming$$iZhou, Chaoying$$iLiu, Jiaqi$$iLiu, Ke'an
000012307 8560_ $$ffischerc@itam.cas.cz
000012307 8564_ $$s135342$$uhttps://invenio.itam.cas.cz/record/12307/files/14-0296.pdf$$yOriginal version of the author's contribution as presented on CD, Paper ID: 14-0296.
000012307 962__ $$r9324
000012307 980__ $$aPAPER