A posteriori analysis of iterative algorithms for a nonlinear problem

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Frédéric Hecht · Journal of Numerical Mathematics · 2012 · 3.3K citations · Full text

Computing, Computer Science, High-performance Computing +17

Error Estimates for Adaptive Finite Element Computations

I. Babuvška, Werner C. Rheinboldt · SIAM Journal on Numerical Analysis · 1978 · 1.5K citations

Computing, Computational Engineering, Computer Science +17

Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems

Linda El Alaoui, Alexandre Ern, Martin Vohralı́k · Computer Methods in Applied Mechanics and Engineering · 2010 · 97 citations

Computing, Computational Engineering, Mathematics +12

Consistency, stability, a priori and a posteriori errors for Petrov-Galerkin methods applied to nonlinear problems

Jérôme Pousin, Jacques Rappaz · Numerische Mathematik · 1994 · 90 citations · Full text

Engineering, Computational Engineering, Physics +14

A posteriori estimation of the linearization error for strongly monotone nonlinear operators

Alexandra L. Chaillou, Manil Suri · Journal of Computational and Applied Mathematics · 2006 · 37 citations

Natural Sciences, Mathematics, Dynamical Systems +8