Coordinated Economic Operation of Hydrothermal Units with HVDC Link Based on Lagrange Multipliers

Inextensible elastic rods with torsional friction based on Lagrange multipliers

Elastic rods are thin flexible objects typically undergoing large non-linear deformations that cannot be modeled with linear methods. They are used in a number of research fields, e. g., to represent hair or ropes in animations, or catheters or needles in medical simulations. In this paper, we propose a deformation model for inextensible elastic rods. The method of Lagrange multipliers is emplo...

Domain Decomposition with Lagrange Multipliers

Efficient Preconditioners Based on Fictitious Domains for Elliptic Fe{problems with Lagrange Multipliers Eecient Preconditioners Based on Ctitious Domains for Elliptic Fe{problems with Lagrange Multipliers

The macro{hybrid formulation based on domain decomposition is considered for elliptic boundary value problems with both symmetric positive deenite and indeenite operators. The problem is discretized by the mortar element method, which leads to a large{scale sparse linear system with a saddle{ point matrix. In the case of symmetric and positive deenite operators, a block diagonal preconditioner ...

On the Method of Lagrange Multipliers

and there are no inequality constraints (i.e. there are no fi(x) i = 1, . . . , m). We simply write the p equality constraints in the matrix form as Cx− d = 0. The basic idea in Lagrangian duality is to take the constraints in (1) into account by augmenting the objective function with a weighted sum of the constraint functions. We define the Lagrangian L : R ×R ×R → R associated with the proble...

Substructuring by Lagrange Multipliers