Characteristic splitting mixed finite element analysis of compressible wormhole propagation (Q2010235)

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scientific article; zbMATH DE number 7137362
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Characteristic splitting mixed finite element analysis of compressible wormhole propagation
scientific article; zbMATH DE number 7137362

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    Characteristic splitting mixed finite element analysis of compressible wormhole propagation (English)
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    27 November 2019
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    The authors discuss a combined method for simulating the compressible wormhole propagation that relies on the splitting mixed finite element. This leads to a separated symmetric positive definite mixed element system which avoids the solvability of a large-scale coupled system. Optimal error estimates in the \(L^2\)-norm are derived for pressure, velocity, concentration and porosity. Numerical experiments are included to support the theoretial findings.
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    mass-conservative
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    the method of characteristics
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    splitting system
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    mixed element
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    wormhole propagation
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