We introduce a new formulation for the finite element immersed boundary method which
makes use of a distributed Lagrange multiplier. We prove that a full discretization of our …

As essential energy resources in steel industry, oxygen and nitrogen are massively utilized
in many production procedures, such as iron-making by blast furnaces, steel-making by …

In this paper, the distributed Lagrange multiplier/fictitious domain (DLM/FD) finite element
method is studied for a generic Stokes/elliptic interface problem with jump coefficients which …

In this paper we propose a new variational formulation for an elliptic interface problem and
discuss its finite element approximation. Our formulation fits within the framework of fictitious …

In this article, new unfitted mixed finite elements are presented for elliptic interface problems
with jump coefficients. Our model is based on a fictitious domain formulation with distributed …

In this paper, the distributed Lagrange multiplier/fictitious domain (DLM/FD)–mixed finite
element method is developed and analyzed for a type of linearized fluid-structure interaction …

Based upon two overlapped, body-unfitted meshes, a type of unified-field monolithic
fictitious domain-finite element method (UFMFD-FEM) is developed in this paper for moving …

In this paper, a type of arbitrary Lagrangian–Eulerian (ALE) finite element method in the
monolithic frame is developed for a linearized fluid–structure interaction (FSI) problem—an …

In this paper, we study the fictitious domain method with distributed Lagrange multiplier for
the jump-coefficient parabolic problems with moving interfaces. The equivalence between …

In this paper, an arbitrary Lagrangian–Eulerian (ALE)—finite element method (FEM) is
developed within the monolithic approach for a moving-interface model problem of a …