The continuous Galerkin method is locally conservative (Q1592310)
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scientific article; zbMATH DE number 1552737
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The continuous Galerkin method is locally conservative |
scientific article; zbMATH DE number 1552737 |
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The continuous Galerkin method is locally conservative (English)
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4 October 2001
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The authors examine the conservation law structure of the continuous Galerkin method for the scalar advection-diffusion equation, establish local conservation laws which pertain to subdomains consisting of a union of elements as well as individual elements. The results are quite general and apply to time-dependent, nonlinear systems as well and are somewhat surprising and contradict the widely held opinion that the continuous Galerkin method is not locally conservative.
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conservation law
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continuous Galerkin method
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advection-diffusion equation
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time-dependent, nonlinear systems
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