A mixed finite element method for a third order partial differential equation (Q1286932)
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scientific article; zbMATH DE number 1281841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A mixed finite element method for a third order partial differential equation |
scientific article; zbMATH DE number 1281841 |
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A mixed finite element method for a third order partial differential equation (English)
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17 October 1999
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A mixed finite element method is described for a third order partial differential equation. The method can be applied, for example, to the solution of the Benjamin-Bona-Mahony equation for unidirectional propagation of long waves in some nonlinear dispersive systems. A time-continuous numerical method is described and error estimates for its solution are demonstrated. A superconvergence estimate is proved for the auxiliary variable used in the mixed formulation.
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Benjamin-Bona-Mahony Equation
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superconvergence
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mixed finite element method
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third-order partial differential equation
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long waves
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nonlinear dispersive systems
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error estimates
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