A new strategy for a faster matrix assembly in the boundary element method

This study introduces a new modelling approach that leads to a more efficient process for constructing the matrix system arising from the discretization of integral equations by the boundary element method. This method uses the matrix structure employed in the direct interpolation technique, yielding computational efficiency while maintaining precise outcomes and ensuring convergence as the mesh is refined. To demonstrate the effectiveness of this novel numerical technique, it is applied to solve two-dimensional problems governed by the Laplace equation.