Error Estimates for Finite Element Potential and Field Strength Formulations

摘要

The accuracy in the cse of finite element potential-based formulations iscompared with the one which is yielded by finite element formalisms that allow the direct computation of the field strength. By using general results from the theory of Sobolev spaces, the gradient and curl operators are shown to reduce the accuracy in the case of numerical formalisms with one order. In this manner, the accuracy yielded by a numerical formalism that allows the direct computation of the field strength is proven to be superior to the one which is yielded by potential-based formulations, for the same computational effort.