In this paper, an analysis of 3-dimensional problem using a fictitious domain method based on distributed Lagrange multiplier is discussed. Using this approach allows us to compute moving boundary problems successfully. First of all, how to use a fictitious domain method using navier stokes equations is explained. Next, incompressible viscous fluid around circular cylinder and ball are restrict...

This paper is devoted to the redesign of the Lagrangian remapping process for compressible Hydrodynamics in order to achieve better computational performance. As an unintended outcome, the analysis has lead us to the discovery of a new family of solvers – the so-called Lagrange-flux schemes – that appear to be very promising for the CFD community. Results obtained with the Lagrange-flux approac...

In this paper we study the existence of a solution in Lloc(Ω) to the Euler-Lagrange equation for the variational problem (0.1) inf ū+W 1,∞ 0 (Ω) Z Ω (1ID(∇u) + g(u))dx, with D convex closed subset of Rn with non empty interior. By means of a disintegration theorem, we next show that the Euler-Lagrange equation can be reduced to an ODE along characteristics, and we deduce that there exists a sol...

Abstract. We present and analyze a subgrid viscosity Lagrange-Galerkin method that combines the subgrid eddy viscosity method proposed in W. Layton, A connection between subgrid scale eddy viscosity and mixed methods. Appl. Math. Comp., 133: 147-157, 2002, and a conventional Lagrange-Galerkin method in the framework of P1⊕ cubic bubble finite elements. This results in an efficient and easy to i...

a positive integer $n$ is called a clt number if every group of order $n$ satisfies the converse of lagrange's theorem. in this note, we find all clt and supersolvable numbers up to $1000$. we also formulate some questions about the distribution of these numbers.

In this paper, we suggest a new technique which uses Lagrange polynomials to get derivative-free iterative methods for solving nonlinear equations. With the use of the proposed technique and Steffens on-like methods, a new optimal fourth-order method is derived. By using three-degree Lagrange polynomials with other two-step methods which are efficient optimal methods, eighth-order methods can b...

In this paper, typical analog combinatorial optimization approaches, such as Hopfield net, Hopfield-Lagrange net, Maximum entropy approach, Lagrange-Barrier approach, are systematically examined from the perspective of learning distribution. The minimization of a combinatorial cost is turned into a procedure of learning a simple distribution to approximate the Gibbs distribution induced from th...

Nonlocally related systems for the Euler and Lagrange systems of twodimensional dynamical nonlinear elasticity are constructed. Using the continuity equation, i.e., conservation of mass of the Euler system to represent the density and Eulerian velocity components as the curl of a potential vector, one obtains the Euler potential system that is nonlocally related to the Euler system. It is shown...

Niederhausen, H., Fast Lagrange inversion, with an application to factorial numbers, Discrete Mathematics 104 (1992) 99-110. Suppose /3(t) and y(t) are a pair of compositional inverse formal powerseries. Lagrange inversion expresses the coefficient oft” in y(t)” in terms of the coefficient of tC” in /c?(t)-“. ‘Fast Lagrange inversion’ calculate the latter for invertible power series with nonzer...

For simplex finite elements, the native Lagrange family with arbitrarily placed nodes is presented in hierarchy-ranking expressions. It includes the well-known complete Lagrange family as well as the mid-edge Lagrange family to he proposed in this paper. This new family enables us to utilize harmonious combinations of interpolations of different orders in finite element analysis. As an applicat...