A family of cylindrical elements

Abstract This paper is devoted to develop several cylindrical elements. The findings are used to solve Laplace’s equation numerically. It is sometimes required to solve this equation in the cylindrical coordinates. To take advantage from these situations, the suggested formulations are defined in a proper domain. Under this circumstance, it is superior that elements’ geometry is exactly modeled in the cylindrical coordinates. Consequently, no numerical integration scheme is required for performing these kinds of finite element procedure. In comparison to the classical finite element approach, the proposed formulas are able to solve the corresponding problem more accurately. To corroborate the robustness and efficiency of the suggested elements, several numerical samples are analyzed.