2024-03-28T15:38:46Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/407002021-06-23T11:39:46Zcom_10324_1176com_10324_931com_10324_894col_10324_1359
Portillo de la Fuente, Ana María
2020-04-03T17:16:55Z
2020-04-03T17:16:55Z
2018
Applied Mathematics and Computation Volume 323, 15 April 2018, Pages 1-16
http://uvadoc.uva.es/handle/10324/40700
https://doi.org/10.1016/j.amc.2017.11.045
Two-dimensional linear wave equation in anisotropic media, on a rectangular domain with initial conditions and periodic boundary conditions, is considered. The energy of the problem is contemplated. The space discretization is reached by means of finite differences on a uniform grid, paying attention to the mixed derivative of the equation. The discrete energy of the semi-discrete problem is introduced. For the time integration of the system of ordinary differential equations obtained, a fourth order exponential splitting method, which is a geometric integrator, is proposed. This time integrator is efficient and easy to implement. The stability condition for time step and space step ratio is deduced. Numerical experiments displaying the good behavior in the long time integration and the efficiency of the numerical solution are provided.
MTM2015-66837-P del Ministerio de Economía y Competitividad
application/pdf
spa
Elsevier
info:eu-repo/semantics/openAccess
High-order full discretization for anisotropic wave equations
info:eu-repo/semantics/article
info:eu-repo/semantics/draft
SI