A Parallel iterative Algorithm for primal-dual weak Galerkin Schemes Article Swipe
Chunmei Wang
,
Junping Wang
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2407.00907
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2407.00907
This paper presents and analyzes a parallelizable iterative procedure based on domain decomposition for primal-dual weak Galerkin (PDWG) finite element methods applied to the Poisson equation. The existence and uniqueness of the PDWG solution are established. Optimal order of error estimates are derived in both a discrete norm and the $L^2$ norm. The convergence analysis is conducted for domain decompositions into individual elements associated with the PDWG methods, which can be extended to larger subdomains without any difficulty.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2407.00907
- https://arxiv.org/pdf/2407.00907
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4400330702
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4400330702Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2407.00907Digital Object Identifier
- Title
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A Parallel iterative Algorithm for primal-dual weak Galerkin SchemesWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-07-01Full publication date if available
- Authors
-
Chunmei Wang, Junping WangList of authors in order
- Landing page
-
https://arxiv.org/abs/2407.00907Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2407.00907Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2407.00907Direct OA link when available
- Concepts
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Dual (grammatical number), Algorithm, Galerkin method, Iterative method, Computer science, Mathematics, Mathematical optimization, Applied mathematics, Parallel computing, Finite element method, Engineering, Structural engineering, Literature, ArtTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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