Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
Article Properties
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DOI (url)
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Publication Date2016/05/01
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Indian UGC (journal)
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Refrences35
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Citations125
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Bernardo Cockburn
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Daniele A. Di Pietro
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Alexandre Ern
Journal Category
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
A hybridizable discontinuous Galerkin method for linear elasticity | International Journal for Numerical Methods in Engineering |
| 77 | 2009 |
| An HDG Method for Convection Diffusion Equation | Journal of Scientific Computing |
| 37 | 2015 |
| A Hybridized Discontinuous Galerkin Method with Reduced Stabilization | Journal of Scientific Computing |
| 36 | 2014 |
| A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation | Journal of Computational Physics |
| 32 | 2014 |
| 10.1007/978-3-319-02663-3 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
A posteriori error estimate of the weak Galerkin finite element method solving the Stokes problems on polytopal meshes | Numerical Methods for Partial Differential Equations |
| 2024 | |
| Discrete Weber Inequalities and Related Maxwell Compactness for Hybrid Spaces over Polyhedral Partitions of Domains with General Topology | Foundations of Computational Mathematics |
| 2024 | |
| The Nonconforming Virtual Element Method with Curved Edges | Journal of Scientific Computing |
| 2024 | |
An analysis of nonconforming virtual element methods on polytopal meshes with small faces | Mathematical Models and Methods in Applied Sciences |
| 2024 | |
Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches | Mathematics in Engineering | 2024 |
Citations Analysis
The category
Science: Mathematics 110
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics and was published in 2016. The most recent citation comes from a 2024 study titled Discrete Weber Inequalities and Related Maxwell Compactness for Hybrid Spaces over Polyhedral Partitions of Domains with General Topology. This article reached its peak citation in 2018, with 22 citations. It has been cited in 37 different journals, 8% of which are open access. Among related journals, the Journal of Scientific Computing cited this research the most, with 16 citations. The chart below illustrates the annual citation trends for this article.