<p>Finite element mesh refinement is a key strategy to enhance computational accuracy in structural analysis. This paper proposes a novel refinement method for rational absolute nodal coordinate formulation (RANCF) circular arc elements, enabling direct node insertion within the parametric space through a derived refinement matrix. The proposed approach allows for the efficient and systematic insertion of multiple nodes in a single operation, significantly improving the refinement efficiency. However, variations in the weights modify the position gradient of the elements, introducing nonlinear distortions between the parametric and physical spaces and causing inconsistencies in refinement results. To address this issue, a mapping between the two spaces is established, allowing accurate refinement directly in the physical space based on the actual structural loading conditions. Numerical results demonstrate that the proposed physical space refinement method enables systematic and accurate element refinement, achieving convergence with fewer elements while maintaining computational accuracy and improving efficiency in complex dynamic analyses.</p>