@Article{NMTMA-11-3,
author = {},
title = {A Splitting Collocation Method for Elliptic Interface Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2018},
volume = {11},
number = {3},
pages = {491--505},
abstract = {<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>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2018.m1667},
url = {https://global-sci.com/article/90466/a-splitting-collocation-method-for-elliptic-interface-problems}
}