Interface problems have many applications. Mathematically, interface problems usually lead
to differential equations whose input data and solutions are non-smooth or discontinuous …

In this paper we propose a method for the finite element solution of elliptic interface problem,
using an approach due to Nitsche. The method allows for discontinuities, internal to the …

Interface problems arise in many applications. For example, when there are two different
materials, such as water and oil, or the same material but at different states, such as water …

New finite element methods based on Cartesian triangulations are presented for two
dimensional elliptic interface problems involving discontinuities in the coefficients. The …

This paper introduces a novel high order interface scheme, the matched interface and
boundary (MIB) method, for solving elliptic equations with discontinuous coefficients and …

A simple and efficient interface-fitted mesh generation algorithm which can produce a semi-
structured interface-fitted mesh in two and three dimensions quickly is developed in this …

A new weak Galerkin (WG) finite element method is introduced and analyzed in this paper
for solving second order elliptic equations with discontinuous coefficients and interfaces …

We investigate the finite element methods for solving time-dependent Maxwell equations
with discontinuous coefficients in general three-dimensional Lipschitz polyhedral domains …

This article discusses an immersed finite element (IFE) space introduced for solving a
second‐order elliptic boundary value problem with discontinuous coefficients (interface …

We analyze higher order finite elements applied to second order elliptic interface problems.
Our a priori error estimates in the L2-and H1-norm are expressed in terms of the …