A XFEM Lagrange Multiplier Technique for Stefan Problems

A Lagrange Multiplier Method for Certain Constrained Min-Max Problems

UNIQUENESS OF SOLUTION FOR A CLASS OF STEFAN PROBLEMS

This paper deals with a theoretical mathematical analysis of one-dimensional solidification problem, in which kinetic undercooling is incorporated into the This temperature condition at the interface. A model problem with nonlinear kinetic law is considered. We prove a local result intimate for the uniqueness of solution of the corresponding free boundary problem.

Lagrange multiplier approach to variational problems and applications

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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.

Pseudonormality and a Lagrange Multiplier Theory

Lagrange multipliers are central to analytical and computational studies in linear and nonlinear optimization and have applications in a wide variety of fields, including communication, networking, economics, and manufacturing. In the past, the main research in Lagrange multiplier theory has focused on developing general and easily verifiable conditions on the constraint set, called constraint ...