000010967 001__ 10967
000010967 005__ 20141205155822.0
000010967 04107 $$aeng
000010967 046__ $$k2008-10-12
000010967 100__ $$aMeza-Fajardo, Kristel C.
000010967 24500 $$aStudy of the Stability and Accuracy of a Nonconvolutional, Split-Field Perfectly Matched Layer(PML) for Wave Propagation in Elastic Media

000010967 24630 $$n14.$$pProceedings of the 14th World Conference on Earthquake Engineering
000010967 260__ $$b
000010967 506__ $$arestricted
000010967 520__ $$2eng$$aThe Perfectly Matched Layer (PML) model is a material boundary condition for wave propagation in unbounded domains. It consists of an absorbing layer of finite width that surrounds the physical domain of interest so that all outgoing waves are damped out irrespective of their frequency and direction of propagation. The main feature of the PML is that, before discretization it does not generate reflections at the interface separating the PML and the physical medium, however a small reflection is always present after discretization. The satisfactory performance of the PML has resulted in considerable work towards its implementation in several wave-like problems including elastic wave propagation. In the present work we propose and implement a non-convolutional, split-field PML, referred to as the Multi-Axial Perfectly Matched Layer (M-PML). The formulation is obtained by generalizing the ‘classical’ PML to a medium in which damping profiles are specified in more than one direction. Under the hypothesis of small damping and using an eigenvalue sensitivity analysis based on first derivatives, we propose a method to study the stability of the M-PML and demonstrate that it is related to the ratios of the damping profiles. A general procedure for constructing stable M-PML models for elastic media is then obtained. The effectiveness of the M-PML and its advantages relative to the classical PML, are demonstrated by constructing stable terminations for both isotropic as well as anisotropic 2-D media. As a final step in our analysis, we present a quantitative assessment of the accuracy of the proposed M-PML.

000010967 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000010967 653__ $$aabsorbing boundary conditions, perfectly matched layer, seismic wave propagation

000010967 7112_ $$a14th World Conference on Earthquake Engineering$$cBejing (CN)$$d2008-10-12 / 2008-10-17$$gWCEE15
000010967 720__ $$aMeza-Fajardo, Kristel C.$$iPapageorgiou, Apostolos S.
000010967 8560_ $$ffischerc@itam.cas.cz
000010967 8564_ $$s792334$$uhttps://invenio.itam.cas.cz/record/10967/files/03-02-0002.pdf$$yOriginal version of the author's contribution as presented on CD, Paper ID: 03-02-0002.
000010967 962__ $$r9324
000010967 980__ $$aPAPER