Galerkin time-stepping methods for nonlinear parabolic equations
Abstract
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peer reviewed
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Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique
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We consider discontinuous as well as continuous Calerkin methods for the time discretization of a class of nonlinear parabolic equations. We show existence and local uniqueness and derive optimal order optimal regularity a priori error estimates. We establish the results in an abstract Hilbert space setting and apply them to a quasilinear parabolic equation.
Description
Keywords
nonlinear parabolic equations, local lipschitz condition, continuous and discontinuous galerkin methods, a priori error analysis, monotone operators, finite-element methods, schrodinger-equation, heat-equation, space
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<Go to ISI>://000222589600004
http://journals.cambridge.org/download.php?file=%2FMZA%2FMZA38_02%2FS0764583X04000135a.pdf&code=80c85dfd85c1eb33a8274c4fdfabca59
http://www.esaim-m2an.org/download.php?file=%2FMZA%2FMZA38_02%2FS0764583X04000135a.pdf&code=8cb12981d2a806cb6798fcc5c0bfb3b2
http://journals.cambridge.org/download.php?file=%2FMZA%2FMZA38_02%2FS0764583X04000135a.pdf&code=80c85dfd85c1eb33a8274c4fdfabca59
http://www.esaim-m2an.org/download.php?file=%2FMZA%2FMZA38_02%2FS0764583X04000135a.pdf&code=8cb12981d2a806cb6798fcc5c0bfb3b2
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en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Χημείας