This work presents a numerical Galerkin scheme based on discontinuous Legendre
polynomials (DLPG) to solve the integral eigenvalue problem known as Fredholm integral
equation of a second kind which is mainly used for random fields representation by means
of Karhunen–Loève expansion. The main advantages of the proposed method are the
simple applicability of constructing the Legendre bases over each local elemental domain
without considering any continuity between the elements, in addition to the orthogonality …