First-Order System Least Squares For Linear Elasticity: Numerical Results

摘要: Two first-order system least squares (FOSLS) methods based on L2 norms are applied to various boundary value problems of planar linear elasticity. Both use finite element discretization and multigrid solution methods. They two-stage algorithms that solve first for the displacement flux variable (the gradient displacement, which easily yields deformation stress variables), then itself. As a complement companion theoretical paper, this paper focuses numerical results, including accuracy convergence estimates confirm uniform optimal performance---even as material tends incompressible limit.