Least-squares Galerkin procedures for parabolic integro-differential equations

摘要

Two least-squares Galerkin finite element schemes are formulated to solve parabolic integro-differential equations. The advantage of this method is that it is not subject to the LBB condition. The convergence analysis shows that the least-squares mixed element schemes yield the approximate solution with optimal accuracy in H(div;Ω)×H1(Ω) and (L2(Ω))2×L2(Ω), respectively.