Flux form Semi-Lagrangian methods for parabolic problems
A semi-Lagrangian method for parabolic problems is proposed, that extends previous work by the authors to achieve a fully conservative, flux-form discretization of linear and nonlinear diffusion equations. A basic consistency and stability analysis is proposed. Numerical examples validate the propos...
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| Format: | Article |
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Sciendo
2016-09-01
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| Series: | Communications in Applied and Industrial Mathematics |
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| Online Access: | https://doi.org/10.1515/caim-2016-0022 |
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doaj-34140e2062d54f4f80dc156c7ae4fea32021-09-06T19:19:21ZengSciendoCommunications in Applied and Industrial Mathematics2038-09092016-09-0173567310.1515/caim-2016-0022caim-2016-0022Flux form Semi-Lagrangian methods for parabolic problemsBonaventura Luca0Ferretti Roberto1MOX – Modelling and Scientific Computing, Dipartimento di Matematica Politecnico di Milano, Milan, ItalyDipartimento di Matematica e Fisica, Università degli Studi Roma Tre, Rome, ItalyA semi-Lagrangian method for parabolic problems is proposed, that extends previous work by the authors to achieve a fully conservative, flux-form discretization of linear and nonlinear diffusion equations. A basic consistency and stability analysis is proposed. Numerical examples validate the proposed method and display its potential for consistent semi-Lagrangian discretization of advection diffusion and nonlinear parabolic problems.https://doi.org/10.1515/caim-2016-0022semi-lagrangian methodsflux-form semi-lagrangian methodsdiffusion equationsdivergence form |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Bonaventura Luca Ferretti Roberto |
| spellingShingle |
Bonaventura Luca Ferretti Roberto Flux form Semi-Lagrangian methods for parabolic problems Communications in Applied and Industrial Mathematics semi-lagrangian methods flux-form semi-lagrangian methods diffusion equations divergence form |
| author_facet |
Bonaventura Luca Ferretti Roberto |
| author_sort |
Bonaventura Luca |
| title |
Flux form Semi-Lagrangian methods for parabolic problems |
| title_short |
Flux form Semi-Lagrangian methods for parabolic problems |
| title_full |
Flux form Semi-Lagrangian methods for parabolic problems |
| title_fullStr |
Flux form Semi-Lagrangian methods for parabolic problems |
| title_full_unstemmed |
Flux form Semi-Lagrangian methods for parabolic problems |
| title_sort |
flux form semi-lagrangian methods for parabolic problems |
| publisher |
Sciendo |
| series |
Communications in Applied and Industrial Mathematics |
| issn |
2038-0909 |
| publishDate |
2016-09-01 |
| description |
A semi-Lagrangian method for parabolic problems is proposed, that extends previous work by the authors to achieve a fully conservative, flux-form discretization of linear and nonlinear diffusion equations. A basic consistency and stability analysis is proposed. Numerical examples validate the proposed method and display its potential for consistent semi-Lagrangian discretization of advection diffusion and nonlinear parabolic problems. |
| topic |
semi-lagrangian methods flux-form semi-lagrangian methods diffusion equations divergence form |
| url |
https://doi.org/10.1515/caim-2016-0022 |
| work_keys_str_mv |
AT bonaventuraluca fluxformsemilagrangianmethodsforparabolicproblems AT ferrettiroberto fluxformsemilagrangianmethodsforparabolicproblems |
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1717778741588918272 |