A domain decomposition method for advection-diffusion processes with application to blood solutes (Q2780613)
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scientific article; zbMATH DE number 1729223
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A domain decomposition method for advection-diffusion processes with application to blood solutes |
scientific article; zbMATH DE number 1729223 |
Statements
15 April 2002
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heterogeneous model
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vascular lumen
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Steklov-Poincaré equation
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arterial wall
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iterative method
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convergence rate
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finite element space discretization
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acceleration parameter
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A domain decomposition method for advection-diffusion processes with application to blood solutes (English)
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The authors analyze from numerical point of view a heterogeneous model for dynamics of blood solute both in the vascular lumen and inside the arterial wall. They use a domain decomposition technique which means a splitting in the computation, and alternate the solution of advection-diffusion equation in the lumen with that of the diffusion equation at the wall. An efficient iterative method based on a nonstandard Steklov-Poincaré equation is also introduced. The convergence rate of this method is independent of finite element space discretization, and this furnishes a criterion for selection of an acceleration parameter. Some numerical experiments are reported. They confirm the validity of theoretical results.
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