Jacobian-free Newton–Krylov (JFNK) methods are synergistic combinations of Newton-type
methods for superlinearly convergent solution of nonlinear equations and Krylov subspace …

Finite element methods for incompressible viscous flow - ScienceDirect Skip to main contentSkip
to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full …

Recent advent of graph signal processing (GSP) has spurred intensive studies of signals
that live naturally on irregular data kernels described by graphs (eg, social networks …

An inexact Newton method is a generalization of Newton's method for solving
F(x)=0,F:R^n→R^n in which, at the k th iteration, the step s_k from the current approximate …

This paper presents some efficient algorithms based on the Legendre–Galerkin
approximations for the direct solution of the second-and fourth-order elliptic equations. The …

Several implementations of Newton-like iteration schemes based on Krylov subspace
projection methods for solving nonlinear equations are considered. The simplest such class …

This book expands lecture notes by the authors for a course on Introduction of Spectral
Methods taught in the past few years at Penn State University, Simon Fraser University, the …

Finite element problems can often naturally be divided into subproblems which correspond
to subregions into which the region has been partitioned or from which it was originally …

We introduce a well-developed Newton iterative (truncated Newton) algorithm for solving
large-scale nonlinear systems. The framework is an inexact Newton method globalized by …

A new weak Galerkin (WG) finite element method for solving the biharmonic equation in two
or three dimensional spaces by using polynomials of reduced order is introduced and …