Let Γ be a smooth curve inside a two-dimensional rectangular region Ω. In this paper, we
consider the Poisson interface problem−∇ 2 u= f in Ω∖ Γ with Dirichlet boundary condition …

The elliptic interface problems with discontinuous and high-contrast coefficients appear in
many applications and often lead to huge condition numbers of the corresponding linear …

Due to its highly oscillating solution, the Helmholtz equation is numerically challenging to
solve. To obtain a reasonable solution, a mesh size that is much smaller than the reciprocal …

The continuous interior penalty finite element method (CIP-FEM) has shown promise in
reducing pollution errors when numerically simulating the Helmholtz equation with high …

Numerically solving the 2D Helmholtz equation is widely known to be very difficult largely
due to its highly oscillatory solution, which brings about the pollution effect. A very fine mesh …

The Helmholtz equation is challenging to solve numerically due to the pollution effect, which
often results in a huge ill-conditioned linear system. In this paper, we present a high order …

Most numerical approximations of frequency-domain wave propagation problems suffer from
the so-called dispersion error, which is the fact that plane waves at the discrete level …

Interface problems arise in many applications such as modeling of underground waste
disposal, oil reservoirs, composite materials, and many others. The coefficient a, the source …

The Helmholtz equation is a fundamental wave propagation model in the time-harmonic
setting, which appears in many applications such as electromagnetics, geophysics, and …

Pressurized bladder style in-line hydraulic noise suppressor (bladder suppressor) is
effective to attenuate the pressure ripple of the hydraulic systems and widely used in …