Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider the accuracy of surface integral equations for the solution of scattering and radiation problems in electromagnetics. In numerical solutions, second-kind integral equations involving lltested identity operators are preferable for efficiency, because they produce diagonally-dominant matrix equations that can be solved easily with iterative methods. Hover, the existence of the ll-tested identity operators leads to inaccurate results, especially when the equations are discretized with low-order basis functions, such as the Rao–Wilton–Glisson functions. By performing a computational experiment based on the nonradiating property of the tangential incident fields on arbitrary surfaces,  show that the discretization error of the identity operator is a major error source that contaminates the accuracy of the second-kind integral equations significantly.
['Ozgur Ergul', 'Levent Gurel']
I am writing a research paper on a idea Discretization error due to the identity operator in surface integral equations
[{"from": "human", "value": "I am writing a research paper on a idea Discretization error due to the identity operator in surface integral equations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider the accuracy of surface integral equations for the solution of scattering and radiation problems in electromagnetics. In numerical solutions, second-kind integral equations involving lltested identity operators are preferable for efficiency, because they produce diagonally-dominant matrix equations that can be solved easily with iterative methods. Hover, the existence of the ll-tested identity operators leads to inaccurate results, especially when the equations are discretized with low-order basis functions, such as the Rao\u2013Wilton\u2013Glisson functions. By performing a computational experiment based on the nonradiating property of the tangential incident fields on arbitrary surfaces,  show that the discretization error of the identity operator is a major error source that contaminates the accuracy of the second-kind integral equations significantly."}]