We outline a solution method for mixed finite element discretizations based on dissecting the problem into three separate steps. The first handles the inhomogeneous constraint, the second solves the flux variable from the homogeneous problem, whereas the third step, adjoint to the first, finally gives the Lagrangian multiplier. We concentrate on aspects involved in the first and third step main...

A novel relaxation labeling (RL) algorithm is proposed. RL is posed as a constrained optimization problem and the solution is found by using the Lagrangian multiplier method and a technique used in the graded Hoppeld neural network. In terms of the optimized objective value, the algorithm performs almost as well as simulated annealing, as shown by the experimental results. Also, the resulting a...

Two heuristics for the Linear Ordering Problem are investigated in this paper. heuristics are embedded within a Lagrangian Relaxation framework and are initiated with a construction phase. In this process, some Lagrangian (dual) information is used as an input to guide the construction of initial Linear Orderings. Solutions thus obtained are then submitted to local improvement in an overall pro...

In this paper, we consider certain analytical features of a stochastic model that can explain competition among species and simultaneous predation on the competing from geometric perspective. This allows us to build systematic description models admitting singular Lagrangians. The equations are shown admit Jacobi Last Multiplier which construct an appropriate Lagrangian. Due nature Lagrangian, ...

Recently, the mimetic gravitational theory has gained much attention in frame of cosmology as well domain astrophysics. In this study, we show that gravitation are not able to derive an isotropic model. Therefore, turn our coupled with Lagrangian multiplier. The field equations a static system controls geometry and dynamics star structure studied multiplier using non-linear equation state. An e...

Instead of writing the Galerkin approximation as seeking the stationary point of some functional over a finite-dimensional subspace of the original function space, we write it as the initial, infinite-dimensional variational problem with an explicit constraint that models the fact that we are actually searching in a subspace. By formulating this as a constrained variational problem using a Lagr...

GENET is a heuristic repair algorithm which demonstrates impressive efficiency in solving some large-scale and hard instances of constraint satisfaction problems (CSPs). In this paper, we draw a surprising connection between GENET and discrete Lagrange multiplier methods. Based on the work of Wah and Shang, we propose a discrete Lagrangian-based search scheme LSDL, defining a class of search al...

The two-dimensional inverse problem for first-order systems is analysed and a method to construct an affine Lagrangian such developed. determination of Lagrangians based on the theory Jacobi multiplier system differential equations. We illustrate our analysis with several examples families forces that are relevant in mechanics, one side, some biological systems, other.