Mesh independent superlinear convergence of an inner-outer iterative method for semilinear elliptic interface problems

Authors:
István Antal;János Karátson
Affiliations:
Department of Applied Analysis, ELTE University, H-1117 Budapest, Hungary;Department of Applied Analysis, ELTE University, H-1117 Budapest, Hungary
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 7
Cited 0

The immersed interface method for elliptic equations with discontinuous coefficients and singular sources

SIAM Journal on Numerical Analysis
Iterative solution methods

Iterative solution methods
A Fast Iterative Algorithm for Elliptic Interface Problems

SIAM Journal on Numerical Analysis
Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients

SIAM Journal on Scientific Computing
Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators

SIAM Journal on Numerical Analysis
A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems

Computers & Mathematics with Applications
A monotone iterative method for numerical solution of diffusion equations with nonlinear localized chemical reactions

NMA'06 Proceedings of the 6th international conference on Numerical methods and applications

Quantified Score

Hi-index	7.30

Visualization

Abstract

We propose the damped inexact Newton method, coupled with preconditioned inner iterations, to solve the finite element discretization of a class of nonlinear elliptic interface problems. The linearized equations are solved by a preconditioned conjugate gradient method. Both the inner and outer iterations exhibit mesh independent superlinear convergence.