ADI quadratic finite volume element methods for second order hyperbolic problems (Q1034980)
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scientific article; zbMATH DE number 5627280
| Language | Label | Description | Also known as |
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| English | ADI quadratic finite volume element methods for second order hyperbolic problems |
scientific article; zbMATH DE number 5627280 |
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ADI quadratic finite volume element methods for second order hyperbolic problems (English)
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9 November 2009
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\textit{M. Yang} and \textit{Y. Yuan} [J. Comput. Appl. Math. 200, No. 2, 677--700 (2007; Zbl 1121.65103)] developed a quadratic alternating direction implicit (ADI) finite volume element scheme for non-linear convection-diffusion problems and obtained second order convergence rates in the \(H^1\)-norm. The present authors study the ADI finite volume element with biquadratic bases for second order hyperbolic problems in two spatial dimensions. An optimal \(H^1\)-norm error estimate of second order accuracy is proved.
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finite volume element method
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alternating direction implicit (ADI) method
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biquadratic bases
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second order hyperbolic problems
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optimal \(H^1\)-norm error estimate
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