Abstract:
We present the solution of a second-order nonlinear parabolic interface problem on a quasiuniform triangular
finite element with a linearized four-step implicit scheme used for the time discretization. The convergence of the scheme
in L
2
-norm is established under certain regularity assumptions using interpolation and elliptic projection operators. A
numerical experiment is presented to support the theoretical result. It is assumed that the interface cannot be fitted
exactly.