caa a22 4500 467939306 CHVBK 20180406153007.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10444-004-7626-z doi (NATIONALLICENCE)springer-10.1007/s10444-004-7626-z An explicit second order spectral element method for acoustic waves [Elektronische Daten] [Elena Zampieri, Luca Pavarino] The acoustic wave equation is here discretized by conforming spectral elements in space and by the second order leap-frog method in time. For simplicity, homogeneous boundary conditions are considered. A stability analysis of the resulting method is presented, providing an upper bound for the allowed time step that is proportional to the size of the elements and inversely proportional to the square of their polynomial degree. A convergence analysis is also presented, showing that the convergence error decreases when the time step or the size of the elements decrease or when the polynomial degree increases. Several numerical results illustrating these results are presented. Springer, 2006 acoustic waves nationallicence spectral elements nationallicence explicit time advancing schemes nationallicence stability nationallicence Zampieri Elena Department of Mathematics, Università di Milano, Via Saldini 50, 20133, Milano, Italy aut Pavarino Luca Department of Mathematics, Università di Milano, Via Saldini 50, 20133, Milano, Italy aut Advances in Computational Mathematics Kluwer Academic Publishers 25/4(2006-11-01), 381-401 1019-7168 25:4<381 2006 25 10444 https://doi.org/10.1007/s10444-004-7626-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7626-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zampieri Elena Department of Mathematics, Università di Milano, Via Saldini 50, 20133, Milano, Italy aut NATIONALLICENCE 700 1- Pavarino Luca Department of Mathematics, Università di Milano, Via Saldini 50, 20133, Milano, Italy aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 25/4(2006-11-01), 381-401 1019-7168 25:4<381 2006 25 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer