Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  analyze a family of hybridizable discontinuous Galerkin (HDG) methods for second order elliptic problems in two and three dimensions. The methods use piecewise polynomials of degree k ź 0 for both the flux and numerical trace, and piecewise polynomials of degree k + 1 for the potential.  establish error estimates for the numerical flux and potential under the minimal regularity condition. Moreover,  construct a local postprocessing for the flux, which produces a numerical flux with better conservation. Numerical experiments in two-space dimensions confirm our theoretical results.
['Binjie Li', 'Xiaoping Xie']
I am writing a research paper on a idea Analysis of a family of HDG methods for second order elliptic problems
[{"from": "human", "value": "I am writing a research paper on a idea Analysis of a family of HDG methods for second order elliptic problems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  analyze a family of hybridizable discontinuous Galerkin (HDG) methods for second order elliptic problems in two and three dimensions. The methods use piecewise polynomials of degree k \u017a 0 for both the flux and numerical trace, and piecewise polynomials of degree k + 1 for the potential.  establish error estimates for the numerical flux and potential under the minimal regularity condition. Moreover,  construct a local postprocessing for the flux, which produces a numerical flux with better conservation. Numerical experiments in two-space dimensions confirm our theoretical results."}]