In this paper we analyze an immersed interface finite element method for second order
semilinear parabolic interface problems. Convergence of the semi discrete solution to the exact …

Operating system (OS) security is a key component of computer security. Assessing and
improving OSs strength to resist against vulnerabilities and attacks is a mandatory requirement …

We introduce an enriched unfitted finite element method to solve 1D elliptic interface problems
with discontinuous solutions, including those having implicit or Robin-type interface jump …

We introduce a flux recovery scheme for the computed solution of a quadratic immersed
finite element method. The recovery is done at nodes and interface point first and by …

We introduce a flux recovery scheme for an enriched finite element method applied to an
interface diffusion equation with absorption. The method is a variant of the finite element …

We introduce an enriched unfitted finite element method to solve 1D elliptic interface problems
with discontinuous solutions, including those having implicit or Robin-type interface jump …

Elliptic interface problems whose solutions are $C^0$ continuous have been well studied
over the past two decades. The well-known numerical methods include the strongly stable …

We consider an immersed finite element method for solving one dimensional Pennes bioheat
transfer equation with discontinuous coefficients and nonhomogenous flux jump condition. …

We analyze the existence of a moving attractor for a semi-linear parabolic equation. The
analysis is carried out by using a coordinate transformation to obtain the equation in moving …

This study examines the effect of a small-scale service-learning experience on college
undergraduates. The example in this paper illustrates how shortterm service-learning can be …