This paper investigates the implementation of interlacing and irregular rectangular meshes used in conjunction with the DXDR method and a modified dynamic relaxation method, to study the large deflection elastic plates. Numerical computations are conducted to evaluate the accuracy of solutions with different mesh arrangements. Emphasis is placed on the selection of appropriate interlacing meshes and the ability of rectangular meshes to treat non-rectangular boundary conditions. Numerical examples demonstrate in detail the efficiency, accuracy and stability attainable in solving various engineering problems. It is concluded that both interlacing and irregular meshes are more efficient than the usual rectangular ones to study rectangular, circular and elliptical plates. However, the irregular mesh technique is superior in treating non-rectangular boundaries.