Abstract:
In this paper, I have extended the analysis done in the
previous research [1] which proposed a standard finite element
method with a four step time discretization. The analysis in that paper
revealed that almost optimal order of convergence in the 𝐿
2(Ω)-norm
is obtainable when the interface cannot be fitted exactly. I have also
derived almost optimal error estimate in 𝐻1(Ω)-norm. Numerical
experiments are presented in this research to support the theoretical
result.
