Eulerian-Lagrangian localized adjoint methods for linear advection or advection-reaction equations and their convergence analysis (Q684904)
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scientific article; zbMATH DE number 411820
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eulerian-Lagrangian localized adjoint methods for linear advection or advection-reaction equations and their convergence analysis |
scientific article; zbMATH DE number 411820 |
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Eulerian-Lagrangian localized adjoint methods for linear advection or advection-reaction equations and their convergence analysis (English)
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21 September 1993
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We develop Eulerian-Lagrangian localized adjoint methods (ELLAM) to solve the initial-boundary value problems for linear advection or advection- reaction equations. In contrast to many methods for advection-type problems, our ELLAM scheme naturally incorporates the inflow boundary conditions into its formulations and does not need an artificial outflow boundary condition. It does conserve mass. Moreover, optimal-order error estimates for ELLAM have been obtained.
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interface problems
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mass conservation
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initial-boundary value problems
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inflow boundary conditions
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optimal-order error estimates
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