On the numerical approximation of finite speed diffusion problems (Q1115293)
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scientific article; zbMATH DE number 4085312
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the numerical approximation of finite speed diffusion problems |
scientific article; zbMATH DE number 4085312 |
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On the numerical approximation of finite speed diffusion problems (English)
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1988
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Lagrangian formulations for the Cauchy problems for the generalized-heat and porous-media equations are introduced and equivalence and existence results discussed. Efficient interface tracking finite difference and finite element discretizations of the Lagrangian formulation are discussed. Mixed Euler-Lagrange formulations for mixed problems and the one phase Stefan problem are presented. Numerical experiments are discussed.
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Lagrangian formulations
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Cauchy problems
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porous-media equations
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existence results
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finite difference
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finite element discretizations
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Mixed Euler-Lagrange formulations
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