Abstract
We propose the damped inexact Newton method, coupled with inner iterations, to solve the finite element discretization of a class of nonlinear elliptic systems. The linearized equations are solved by a preconditioned conjugate gradient (PCG) method. Both the inner and the outer iterations have mesh independent superlinear convergence.
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Antal, I. (2007). Mesh Independent Superlinear Convergence of an Inner-Outer Iterative Method for Semilinear Elliptic Systems. In: Boyanov, T., Dimova, S., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2006. Lecture Notes in Computer Science, vol 4310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70942-8_61
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DOI: https://doi.org/10.1007/978-3-540-70942-8_61
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-70940-4
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