Stability and superconvergence of efficient MAC schemes for fractional Stokes equation on non-uniform grids (Q1732873)
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scientific article; zbMATH DE number 7041640
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability and superconvergence of efficient MAC schemes for fractional Stokes equation on non-uniform grids |
scientific article; zbMATH DE number 7041640 |
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Stability and superconvergence of efficient MAC schemes for fractional Stokes equation on non-uniform grids (English)
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25 March 2019
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The authors present two MAC schemes along with a study for their convergence for time fractional Stokes equations on non-uniform grids. One is the standard MAC scheme and the other is the efficient MAC scheme which uses a fast evaluation of the Caputo fractional derivative. The stability results are derived. Second-order superconvergence in discrete $L^2$ norm for both velocity and pressure is proved. Second-order superconvergence for some terms of the $H^1$ norm of the velocity is also shown. Some numerical tests are presented to show the efficiency and accuracy of MAC schemes.
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time-fractional Stokes equation
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MAC scheme
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stability
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superconvergence
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non-uniform grid
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