The TRUNC element in any dimension and application to a modified Poisson equation
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Wiley Open Access
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| Formato: | Artículo Open Access |
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Wiley
2024
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| _version_ | 1867007293297524736 |
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| author | Hongliang Li Pingbing Ming Yinghong Zhou |
| author_facet | Hongliang Li Pingbing Ming Yinghong Zhou Hongliang Li Pingbing Ming Yinghong Zhou |
| collection | Wiley Open Access |
| contents | The TRUNC element in any dimension and application to a modified Poisson equation Hongliang Li Pingbing Ming Yinghong Zhou Numerical Methods for Partial Differential Equations AbstractWe introduce a novel TRUNC finite element in dimensions, encompassing the traditional TRUNC triangle as a particular instance. By establishing the weak continuity identity, we identify it as crucial for error estimate. This element is utilized to approximate a modified Poisson equation defined on a convex polytope, originating from the nonlocal electrostatics model. We have substantiated a uniform error estimate and conducted numerical tests on both the smooth solution and the solution with a sharp boundary layer, which align with the theoretical predictions. 10.1002/num.23151 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| doi_str_mv | 10.1002/num.23151 |
| format | Artículo Open Access |
| id | wiley_oa_10_1002_num_23151 |
| institution | Wiley Open Access |
| license_str_mv | http://onlinelibrary.wiley.com/termsAndConditions#vor |
| publishDate | 2024 |
| publisher | Wiley |
| record_format | wiley_oa |
| spellingShingle | The TRUNC element in any dimension and application to a modified Poisson equation Hongliang Li Pingbing Ming Yinghong Zhou Numerical Methods for Partial Differential Equations The TRUNC element in any dimension and application to a modified Poisson equation Hongliang Li Pingbing Ming Yinghong Zhou Numerical Methods for Partial Differential Equations AbstractWe introduce a novel TRUNC finite element in dimensions, encompassing the traditional TRUNC triangle as a particular instance. By establishing the weak continuity identity, we identify it as crucial for error estimate. This element is utilized to approximate a modified Poisson equation defined on a convex polytope, originating from the nonlocal electrostatics model. We have substantiated a uniform error estimate and conducted numerical tests on both the smooth solution and the solution with a sharp boundary layer, which align with the theoretical predictions. 10.1002/num.23151 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| title | The TRUNC element in any dimension and application to a modified Poisson equation |
| topic | Numerical Methods for Partial Differential Equations |
| url | https://onlinelibrary.wiley.com/doi/10.1002/num.23151 |