Mixed formulation for interface problems with distributed Lagrange multiplier

A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows

A Lagrange-multiplier-based fictitious-domain method (DLM) for the direct numerical simulation of rigid particulate flows in a Newtonian fluid was presented by Glowinski, Pan, Hesla and Joseph (1999). An important feature of this finite element based method is that the flow in the particle domain is constrained to be a rigid body motion by using a well-chosen field of Lagrange multipliers. The ...

The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier

In this talk we consider the finite element discretization of the Immersed Boundary Method (IBM) introduced by Peskin [6] for fluid-structure interaction problems. With respect to the original finite differences discretization the finite element approach can take advantage from the variational formulation in handling the Dirac delta function which takes into account the presence of the structur...

A Lagrange Multiplier Method for Certain Constrained Min-Max Problems

An operator splitting scheme with a distributed Lagrange multiplier based fictitious domain method for wave propagation problems

We propose a novel fictitious domain method based on a distributed Lagrange multiplier technique for the solution of the time-dependent problem of scattering by an obstacle. We study discretizations that include a fully conforming approach as well as mixed finite element formulations utilizing the lowest order Nédélec edge elements (in 2D) on rectangular grids. We also present a symmetrized ope...

Lagrange multiplier approach to variational problems and applications

Reading a book is also kind of better solution when you have no enough money or time to get your own adventure. This is one of the reasons we show the lagrange multiplier approach to variational problems and applications advances in design and control as your friend in spending the time. For more representative collections, this book not only offers it's strategically book resource. It can be a...