A second order in space combination of methods verifying a maximum principle for the discretization of diffusion operators (Q784335)
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scientific article; zbMATH DE number 7226762
| Language | Label | Description | Also known as |
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| English | A second order in space combination of methods verifying a maximum principle for the discretization of diffusion operators |
scientific article; zbMATH DE number 7226762 |
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A second order in space combination of methods verifying a maximum principle for the discretization of diffusion operators (English)
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3 August 2020
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The author considers a cell-centered finite volume discretization for an elliptic equation. Using a suitable correction for the classical finite volume scheme, a new nonlinear scheme is introduced. It is shown that this new scheme has at least one solution, verifying a maximum principle, and avoids the known oscillations for the classical finite volume schemes.
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elliptic equation
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finite volume scheme
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nonlinear correction
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maximum principle
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