The alternate-block-factorization procedure for systems of partial differential equations (Q751783)
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scientific article; zbMATH DE number 4178710
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The alternate-block-factorization procedure for systems of partial differential equations |
scientific article; zbMATH DE number 4178710 |
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The alternate-block-factorization procedure for systems of partial differential equations (English)
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1989
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The authors discuss the alternate-block-factorization (ABF) method solving a nonlinear system of elliptic equations. The ABF strategy consists in reducing of intra-equation coupling. This has the effect of speeding the convergence of commonly used iteration schemes (Gauss- Seidel-Newton type). The partially decoupling of the system is based on a suitable local change of variables. The ABF approach can substantially reduce the total effort to solve a tightly coupled system. The suggested procedure is applied to the solution of a drift-diffusion system occurring in semiconductor derive modelling.
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Gauss-Seidel-Newton method
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alternate-block-factorization method
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nonlinear system
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convergence
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drift-diffusion system
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semiconductor derive modelling
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