Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In this note  examine several regularity criteria for families of simplicial finite element partitions in R^d,d@?{2,3}. These are usually required in numerical analysis and computer implementations.  prove the equivalence of four different definitions of regularity often proposed in the literature. The first one uses the volume of simplices. The others involve the inscribed and circumscribed ball conditions, and the minimal angle condition.
['Jan Brandts', 'Sergey Korotov', 'Michal Kříek']
I am writing a research paper on a idea On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions
[{"from": "human", "value": "I am writing a research paper on a idea On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In this note  examine several regularity criteria for families of simplicial finite element partitions in R^d,d@?{2,3}. These are usually required in numerical analysis and computer implementations.  prove the equivalence of four different definitions of regularity often proposed in the literature. The first one uses the volume of simplices. The others involve the inscribed and circumscribed ball conditions, and the minimal angle condition."}]