Abstract
The direct, collocation boundary element method is used with both the regular and tangent derivative equation to formulate boundary elements with additional degrees of freedom. Use of the tangent derivative equation allows collocation at the same nodes as the regular constraint equation when the derivatives are continuous at the collocation points. Nonconforming elements with degrees of freedom corresponding to tangent derivatives of the primary function are introduced into both equations through Hermitian shape functions. The formulation is given for potential problems in two dimensions with a verification example.
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