Including connecting elements into the Lagrange multiplier state-space substructuring formulation

Substructuring by Lagrange Multipliers

A Quasi-dual Lagrange Multiplier Space for Serendipity Mortar Finite Elements in 3d

Domain decomposition techniques provide a flexible tool for the numerical approximation of partial differential equations. Here, we consider mortar techniques for quadratic finite elements in 3D with different Lagrange multiplier spaces. In particular, we focus on Lagrange multiplier spaces which yield optimal discretization schemes and a locally supported basis for the associated constrained m...

An Approximate Lagrange Multiplier Rule

In this paper, we show that for a large class of optimization problems, the Lagrange multiplier rule can be derived from the so-called approximate multiplier rule. In establishing the link between the approximate and the exact multiplier rule we first derive an approximate multiplier rule for a very general class of optimization problems using the approximate sum rule and the chain rule. We als...

Optimal Growth Models and the Lagrange Multiplier∗

We provide sufficient conditions on the objective functional and the constraint functions under which the Lagrangean can be represented by a ` sequence of multipliers in infinite horizon discrete time optimal growth models.

The Lagrange Multiplier Method for Dirichlet's Problem

The Lagrange multiplier method of Babuska for the approximate solution of Dirichlet's problem for second order elliptic equations is reformulated. Based on this formulation, new estimates for the error in the solution and the boundary flux are given. Efficient methods for the solution of the approximate problem are discussed.