caa a22 4500 475777085 CHVBK 20180406123634.0 cr unu---uuuuu 170329e20000601xx s 000 0 eng 10.1023/A:1007629609576 doi (NATIONALLICENCE)springer-10.1023/A:1007629609576 Dispersion Analysis for Discontinuous Spectral Element Methods [Elektronische Daten] [D. Stanescu, D. Kopriva, M. Hussaini] A framework for studying the amplitude and phase errors for discontinuous spectral element methods applied to wave propagation problems is presented. In this framework, boundary conditions can be accounted for and the spatial distribution of the errors within individual elements can be obtained. This is of importance for spectral element discretizations, for which it might be convenient to have the element size larger than the wavelength. When applied to multiple element discretizations, this allows identification of criteria for reducing the errors. While these criteria depend in general on the particular application and the discretization itself, an attempt is made to obtain optimal methods for the case when the wave propagation takes place over a large number of elements. Unfortunately, such optimization leads in the most general case to full mass matrices, and hence is useful mainly for linear problems. Plenum Publishing Corporation, 2000 discontinuous Galerkin nationallicence Petrov-Galerkin nationallicence wave propagation nationallicence dispersion analysis nationallicence Stanescu D. School of Computational Science and Information Technology, Florida State University, 32306-4210, Tallahassee, Florida aut Kopriva D. School of Computational Science and Information Technology, Florida State University, 32306-4210, Tallahassee, Florida aut Hussaini M. School of Computational Science and Information Technology, Florida State University, 32306-4210, Tallahassee, Florida aut Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/2(2000-06-01), 149-171 0885-7474 15:2<149 2000 15 10915 https://doi.org/10.1023/A:1007629609576 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1007629609576 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Stanescu D. School of Computational Science and Information Technology, Florida State University, 32306-4210, Tallahassee, Florida aut NATIONALLICENCE 700 1- Kopriva D. School of Computational Science and Information Technology, Florida State University, 32306-4210, Tallahassee, Florida aut NATIONALLICENCE 700 1- Hussaini M. School of Computational Science and Information Technology, Florida State University, 32306-4210, Tallahassee, Florida aut NATIONALLICENCE 773 0- Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/2(2000-06-01), 149-171 0885-7474 15:2<149 2000 15 10915 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer