In this article, we present a cut finite element method for two-phase Navier–Stokes flows.
The main feature of the method is the formulation of a unified continuous interior penalty …

We develop a stabilized cut discontinuous Galerkin framework for the numerical solution of
elliptic boundary value and interface problems on complicated domains. The domain of …

We develop novel stabilized cut discontinuous Galerkin methods for advection-reaction
problems. The domain of interest is embedded into a structured, unfitted background mesh …

Extensive developments on various generalizations of the Finite Element Method (FEM) for
the interface problems, with unfitted mesh, have been made in the last few decades. Typical …

We study a stable generalized finite element method (SGFEM) for parabolic interface
problems with smooth interfaces. The standard finite element (FE) space based on a simple …

Abstract Direct Numerical Simulation (DNS) of liquid–gas mass transfer processes in falling
film can model the transfer effect enhancement accurately, but requires huge computational …

Stable generalized finite element method (SGFEM) for interface problem is based on simple
mesh independent of interface curves and possesses merits of optimal convergence rates …

The stable generalized finite element method (SGFEM) is an improved version of
generalized or extended FEM (GFEM/XFEM), which (i) uses simple and unfitted meshes,(ii) …

We present an immersed boundary method for the solution of elliptic interface problems with
discontinuous coefficients which provides a second-order approximation of the solution. The …

We present the second part of a stabilized cut discontinuous Galerkin (cutDG) framework
initiated in [1] and develop a novel cutDG method for scalar hyperbolic problems. The …