6 research outputs found
Residual-based a posteriori error estimation for immersed finite element methods
In this paper we introduce and analyze the residual-based a posteriori error
estimation of the partially penalized immersed finite element method for
solving elliptic interface problems. The immersed finite element method can be
naturally utilized on interface-unfitted meshes. Our a posteriori error
estimate is proved to be both reliable and efficient with reliability constant
independent of the location of the interface. Numerical results indicate that
the efficiency constant is independent of the interface location and that the
error estimation is robust with respect to the coefficient contrast