Explicit Multistep Mixed Finite Element Method for RLW Equation

An explicit multistep mixed finite element method is proposed and discussed for regularized long wave (RLW) equation. The spatial direction is approximated by the mixed Galerkin method using mixed linear space finite elements, and the time direction is discretized by the explicit multistep method. T...

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Published in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.471-482-1046
Main Authors: Liu, Yang, Li, Hong, Du, Yanwei, Wang, Jinfeng
Format: Article
Language:English
Subjects:
Analysis
Boundary conditions
Finite element analysis
Finite element method
Fluid dynamics
Mathematical models
Mathematical research
Methods
Numerical analysis
Partial differential equations
Studies
Vector spaces
Wave equation
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description An explicit multistep mixed finite element method is proposed and discussed for regularized long wave (RLW) equation. The spatial direction is approximated by the mixed Galerkin method using mixed linear space finite elements, and the time direction is discretized by the explicit multistep method. The optimal error estimates in L2 and H1 norms for the scalar unknown u and its flux q=ux based on time explicit multistep method are derived. Some numerical results are given to verify our theoretical analysis and illustrate the efficiency of our method.
doi_str_mv 10.1155/2013/768976
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subjects Analysis
Boundary conditions
Finite element analysis
Finite element method
Fluid dynamics
Mathematical models
Mathematical research
Methods
Numerical analysis
Partial differential equations
Studies
Vector spaces
Wave equation
title Explicit Multistep Mixed Finite Element Method for RLW Equation
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