Higher - Order Krylov - Newton and Fast Krylov - Secantmethods for Systems on Nonlinear Partialdifferential Equationsh

نویسندگان

  • Hector Klie
  • Marcelo Rame
  • Mary Wheeler
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Tensor-Krylov methods for large nonlinear equations

In this paper, we describe tensor methods for large systems of nonlinear equations based on Krylov subspace techniques for approximately solving the linear systems that are required in each tensor iteration. We refer to a method in this class as a tensor-Krylov algorithm. We describe comparative testing for a tensor-Krylov implementation versus an analogous implementation based on a Newton-Kryl...

متن کامل

Tensor-Krylov Methods for Solving Large-Scale Systems of Nonlinear Equations

This paper develops and investigates iterative tensor methods for solving large-scale systems of nonlinear equations. Direct tensor methods for nonlinear equations have performed especially well on small, dense problems where the Jacobian matrix at the solution is singular or ill-conditioned, which may occur when approaching turning points, for example. This research extends direct tensor metho...

متن کامل

Adaptive Accuracy Control of Nonlinear Newton-krylov Methods for Multiscale Integrated Hydrologic Models

In the popular Newton-Krylov methods for solving large-scale systems of nonlinear equations, inner linear systems resulting from outer Newton linearization are solved by Krylov iterative linear solvers. The accuracy control of Krylov solvers are based on the progress of the Newton iteration to achieve good local convergence while avoiding over-solving. In practice, the efficiency and robustness...

متن کامل

Newton-krylov-schwarz: an Implicit Solver for Cfd

Newton Krylov methods and Krylov Schwarz domain decomposition methods have begun to become established in computational uid dynamics CFD over the past decade The former employ a Krylov method inside of Newton s method in a Jacobian free manner through directional di erencing The latter employ an overlapping Schwarz domain decomposition to derive a preconditioner for the Krylov accelerator that ...

متن کامل

On Using Approximate Finite Differences in Matrix-Free Newton-Krylov Methods

A Newton–Krylov method is an implementation of Newton’s method in which a Krylov subspace method is used to solve approximately the linear systems that characterize steps of Newton’s method. Newton–Krylov methods are often implemented in “matrix-free” form, in which the Jacobian-vector products required by the Krylov solver are approximated by finite differences. Here we consider using approxim...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1996