Cited By
View all- Manzini GMaguolo GPutti M(2019)The High-Order Mixed Mimetic Finite Difference Method for Time-Dependent Diffusion ProblemsJournal of Scientific Computing10.1007/s10915-019-01002-480:3(1805-1830)Online publication date: 1-Sep-2019
Error Analysis of Mixed Finite Element Methods for Nonlinear Parabolic Equations
Authors: 
Huadong Gao, Weifeng QiuAuthors Info & Claims
Pages 1660 - 1678
Abstract
In this paper, we prove a discrete embedding inequality for the Raviart---Thomas mixed finite element methods for second order elliptic equations, which is analogous to the Sobolev embedding inequality in the continuous setting. Then, by using the proved discrete embedding inequality, we provide an optimal error estimate for linearized mixed finite element methods for nonlinear parabolic equations. Several numerical examples are provided to confirm the theoretical analysis.
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- Error Analysis of Mixed Finite Element Methods for Nonlinear Parabolic Equations
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Published: 01 December 2018
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View all- Manzini GMaguolo GPutti M(2019)The High-Order Mixed Mimetic Finite Difference Method for Time-Dependent Diffusion ProblemsJournal of Scientific Computing10.1007/s10915-019-01002-480:3(1805-1830)Online publication date: 1-Sep-2019