@Article{NMTMA-4-255, author = {}, title = {Mixed Spectral and Pseudospectral Methods for a Nonlinear Strongly Damped Wave Equation in an Exterior Domain}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2011}, volume = {4}, number = {2}, pages = {255--282}, abstract = {

The aim of this paper is to develop the mixed spectral and pseudospectral methods for nonlinear problems outside a disc, using Fourier and generalized Laguerre functions. As an example, we consider a nonlinear strongly damped wave equation. The mixed spectral and pseudospectral schemes are proposed. The convergence is proved. Numerical results demonstrate the efficiency of this approach.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2011.42s.8}, url = {http://global-sci.org/intro/article_detail/nmtma/5968.html} }