We present a meshfree quadrature rule for compactly supported nonlocal integro-differential
equations (IDEs) with radial kernels. We apply this rule to develop a meshfree discretization …

The prediction of the dispersed phase distribution plays a major role in multiphase chemical
reactor engineering. The population balance equation (PBE) is a well-established equation …

In this paper we apply the recently developed mimetic discretization method to the mixed
formulation of the Stokes problem in terms of vorticity, velocity and pressure. The mimetic …

As the core component of the automotive air conditioning cooling system, the automotive
cooling fan directly affects the cooling performance of the entire system. Therefore, it is …

The focus of this paper is on incompressible flows in three dimensions modeled by least-
squares finite element methods (LSFEM) and using a novel reformulation of the Navier …

We construct a finite element discretization and time-stepping scheme for the
incompressible Euler equations with variable density that exactly preserves total mass, total …

Conventional least‐squares finite element methods (LSFEMs) for incompressible flows
conserve mass only approximately. For some problems, mass loss levels are large and …

In this contribution three different mixed least-squares finite element methods (LSFEMs) are
investigated with respect to accuracy and efficiency with simultaneous consideration of …

In solving the system of Stokes and Navier–Stokes equations, lack of mass conservation has
been viewed as the critical drawback of the finite element methods based on the least …

In this paper, we develop least‐squares finite element methods (LSFEMs) for
incompressible fluid flows with improved mass conservation. Specifically, we formulate a …