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A global Newton-type scheme based on a simplified Newton-type approach. (English) Zbl 1484.37119

J. Appl. Math. Comput. 65, No. 1-2, 321-334 (2021).

MSC: 37N30 65H10 46N40 58C15 49M15

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Houston, Paul; Wihler, Thomas P.

An \(hp\)-adaptive iterative linearization discontinuous-Galerkin FEM for quasilinear elliptic boundary value problems. (English) Zbl 1484.65300

Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 407-417 (2020).

MSC: 65N30 65N50 65N15 35J62

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Amrein, Mario; Hilber, Norbert

Adaptive Newton-type schemes based on projections. (English) Zbl 1464.65048

Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 120, 18 p. (2020).

MSC: 65H10

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Heid, Pascal; Wihler, Thomas P.

Adaptive iterative linearization Galerkin methods for nonlinear problems. (English) Zbl 07240964

Math. Comput. 89, No. 326, 2707-2734 (2020).

MSC: 47H10 65N30 47J25 47H05 49M15 65J15

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Adaptive fixed point iterations for semilinear elliptic partial differential equations. (English) Zbl 1432.62063

Calcolo 56, No. 3, Paper No. 30, 18 p. (2019).

Reviewer: Rózsa Horváth-Bokor (Budakalász)

MSC: 62F35 35J61 65N30 65L11

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Amrein, Mario; Wihler, Thomas P.

Adaptive pseudo-transient-continuation-Galerkin methods for semilinear elliptic partial differential equations. (English) Zbl 1384.65082

Numer. Methods Partial Differ. Equations 33, No. 6, 2005-2022 (2017).

Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)

MSC: 65N30 65N15 35J61 35B25 65N50

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