TY - JOUR
T1 - A Parallel Second Order Cartesian Method for Elliptic Interface Problems
AU - Marco Cisternino & Lisl Weynans
JO - Communications in Computational Physics
VL - 5
SP - 1562
EP - 1587
PY - 2012
DA - 2012/12
SN - 12
DO - http://doi.org/10.4208/cicp.160311.090112a
UR - https://global-sci.org/intro/article_detail/cicp/7347.html
KW - 
AB - <p style="text-align: justify;">We present a parallel Cartesian method to solve elliptic problems with complex immersed interfaces. This method is based on a finite-difference scheme and is second-order accurate in the whole domain. The originality of the method lies in the use of additional unknowns located on the interface, allowing to express straightforwardly the interface transmission conditions. We describe the method and the details of its parallelization performed with the PETSc library. Then we present numerical validations in two dimensions, assorted with comparisons to other related methods, and a numerical study of the parallelized method.&nbsp;</p>