A discontinuous Galerkin finite element method for swelling model of polymer gels

DOI10.1016/j.jmaa.2012.08.033zbMath1462.65147OpenAlexW2095305259MaRDI QIDQ691804

Huanrong Li, Yukun Li

Publication date: 4 December 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.08.033

zbMATH Keywords

error estimatesnumerical examplesdiscontinuous Galerkin methodsoft mattersgel model

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

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• Generalized difference simulation for coupled transport models of unsaturated soil water flow and solute
• Numerical simulation based on POD for two-dimensional solute transport problems
• Analysis and application of finite volume element methods to a class of partial differential equations
• Local discontinuous Galerkin methods for partial differential equations with higher order derivatives
• High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields
• Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number
• Fully Discrete Finite Element Approximations of a Polymer Gel Model
• Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number
• The $h-p$ version of the finite element method with quasiuniform meshes
• Differential/Algebraic Equations are not ODE’<scp>s</scp>
• Mixed and Hybrid Finite Element Methods

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