TY - JOUR
T1 - The Ultra Weak Variational Formulation Using Bessel Basis Functions
JO - Communications in Computational Physics
VL - 2
SP - 400
EP - 414
PY - 2012
DA - 2012/12
SN - 11
DO - http://doi.org/10.4208/cicp.121209.040111s
UR - https://global-sci.org/intro/article_detail/cicp/7369.html
KW - 
AB - <p style="text-align: justify;">We investigate the ultra weak variational formulation (UWVF) of the 2-D Helmholtz equation using a new choice of basis functions. Traditionally the UWVF basis functions are chosen to be plane waves. Here, we instead use first kind Bessel functions. We compare the performance of the two bases. Moreover, we show that it is possible to use coupled plane wave and Bessel bases in the same mesh. As test cases we shall consider propagating plane and evanescent waves in a rectangular domain and a singular 2-D Helmholtz problem in an<em> L</em>-shaped domain.</p><p><br/></p>