TY - JOUR T1 - Fourth Order Schemes for Time-Harmonic Wave Equations with Discontinuous Coefficients JO - Communications in Computational Physics VL - 2-4 SP - 442 EP - 455 PY - 2009 DA - 2009/02 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7742.html KW - AB -

We consider high order methods for the one-dimensional Helmholtz equation and frequency-Maxwell system. We demand that the scheme be higher order even when the coefficients are discontinuous. We discuss the connection between schemes for the second-order scalar Helmholtz equation and the first-order system for the electromagnetic or acoustic applications.