• Aucun résultat trouvé

Acceleration of Newton's method using nonlinear Jacobi preconditioning

N/A
N/A
Protected

Academic year: 2021

Partager "Acceleration of Newton's method using nonlinear Jacobi preconditioning"

Copied!
14
0
0

Texte intégral

Figure

Figure 1: Approximate solution at different time steps
Figure 2: Relative error err m,ε v,? as the function of the average number of Newton’s iterations per time step
Figure 3: Relative error err m,ε v,? as the function of CPU time for different grid sizes the qualitative differences in the performance of u and v-formulations on one hand, with  v-formulation been few time faster, and the performance of v and τ -formulat

Références

Documents relatifs

In Section 2 we prove the existence and uniqueness of the solution to (1), we present the monotone convergence result for Newton’s method applied to the systems (1), (7) and (8);

Timoshenko nonlinear system, beam, Galerkin method, Crank–Nicholson scheme, Picard process.. 1 Department of Applied Mathematics and Computer Sciences of Tbilisi State

LUDERER, A Simultaneous Method for Checking Second-Order Kuhn-Tucker Conditions for Equality Constrained Nonlinear Programming Prob- lems, Syst. KORNER, Remarks on

Unit´e de recherche INRIA Rocquencourt, Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex Unit´e de recherche INRIA Sophia-Antipolis, 2004 route des Lucioles, BP

Dealing with frictional contact simulations, one can use generalized Newton method or Fixed-point method. In this article, we present partial Newton method which

LYSENKO, Conditions for the convergence of the Netwon-Kantorovich method for nonlinear equations with Hölder linearizations nonlinearities (Russian), Dokl. MYSOVSKIKH,

Use the equation 1/x = 1.37, the Newton Method, and the defective calculator to find 1/1.37 correct to 8 decimal places. Calculate the next

Let's consider the time-independent Schrödinger equation of a conservative 2D system where a single particle with (constant) total energy E moves in a potential V(x,