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On the convergence ...
On the convergence of shock-capturing streamline diffusion finite element methods for hyperbolic conservation laws
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Johnson, Claes (författare)
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Szepessy, Anders, 1960- (författare)
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- Hansbo, Peter F G, 1959 (författare)
- Jönköping University,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering
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Jönköping University JTH Forskningsmiljö Produktutveckling - Simulering och optimering (creator_code:org_t)
- PROVIDENCE : American Mathematical Society (AMS), 1990
- 1990
- Engelska.
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Ingår i: Mathematics of Computation. - PROVIDENCE : American Mathematical Society (AMS). - 0025-5718 .- 1088-6842. ; 54:189, s. 107-129
- Relaterad länk:
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https://www.ams.org/...
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https://research.cha...
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https://urn.kb.se/re...
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https://doi.org/10.2...
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Abstract
Ämnesord
Stäng
- We extend our previous analysis of streamline diffusion finite element methods for hyperbolic systems of conservation laws to include a shock-capturing term adding artificial viscosity depending on the local absolute value of the residual of the finite element solution and the meh size. With this term present, we prove a maximum norm bound for finite element solutionsof Burgers' equation an thus complete an earlier convergence proof for this equation. We further prove, using entropy variables, that a strong limit of finite element solutions is a weak solution of the system of conservation laws and satisfies the entropy inequality asociated with the entropy variables. Results of some numerical experiments for the time-dependent compressible Euler equations in two dimensions are also reported.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Strömningsmekanik och akustik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Fluid Mechanics and Acoustics (hsv//eng)
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