陳宜良Chern, I-LiangI-LiangChern2006-07-262018-06-282006-07-262018-06-282005-07-31http://ntur.lib.ntu.edu.tw//handle/246246/21007In this paper, numerical methods are proposed for some interface problems in polar or Cartesian coordinates. The new methods are based on a formulation that transforms the interface problem with a non-smooth or discontinuous solution to a problem with a smooth solution. The new formulation leads to a simple second order ¯nite di®erence scheme for the partial di®erential equation and a new interpolation scheme for the normal derivative of the solution. In conjunction with the fast immersed interface method, a fast Poisson solver has been developed for the interface problems with piecewise constant but discontinuous coe±cient using the new formulation in polar coordinates system.application/pdf1430173 bytesapplication/pdfzh-TW國立臺灣大學數學系暨研究所interface problemssingular sourcedelta functionlevel set functiondiscontinuous coefficientspolar coordinatesimmersed interface methodsmooth extensionfast Poisson solverreporthttp://ntur.lib.ntu.edu.tw/bitstream/246246/21007/1/932115M002004.pdf