TY - JOUR
T1 - A Splitting Collocation Method for Elliptic Interface Problems
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 491
EP - 505
PY - 2018
DA - 2018/11
SN - 11
DO - http://doi.org/10.4208/nmtma.2018.m1667
UR - https://global-sci.org/intro/article_detail/nmtma/12441.html
KW - 
AB - <p style="text-align: justify;">An effective method is proposed for interface problems by combining the domain decomposition method and the collocation method. The main idea is to split the whole domain into two non-overlapped sub-domains and enforce the interface conditions to obtain two sub-problems. Each sub-problem is solved by the collocation method.
And a simple iterative algorithm is presented to achieve the jump conditions at the interface. The method provided can be used to solve interface problems with both linear and a special type of non-linear jump conditions. Numerical experiments reveal that our method is fourth-order accurate for interface problems.</p>