Simulation of the solution of a viscous porous medium equation by a particle method
To solve a particular partial differential equation, namely a viscous porous medium equation, we discuss a particle method, which is based on the concept of moderately interacting many-particle systems. Our approach may be classified as a combination of a smoothed particle hydrodynamics method and a...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
26 July 2006
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| In: |
SIAM journal on numerical analysis
Year: 2002, Volume: 40, Issue: 5, Pages: 1716-1762 |
| ISSN: | 1095-7170 |
| DOI: | 10.1137/S0036142900363377 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1137/S0036142900363377 Verlag, Volltext: https://epubs.siam.org/doi/abs/10.1137/S0036142900363377 
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| Author Notes: | Karl Oelschläger |
| Summary: | To solve a particular partial differential equation, namely a viscous porous medium equation, we discuss a particle method, which is based on the concept of moderately interacting many-particle systems. Our approach may be classified as a combination of a smoothed particle hydrodynamics method and a particle-mesh method. Quantitatively, it is assessed in terms of estimates on the approximation error. |
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| Item Description: | Published online: 26 July 2006 Gesehen am 13.06.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1095-7170 |
| DOI: | 10.1137/S0036142900363377 |