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

Author:
Cai, Z.   Lee, C. O.   Manteuffel, T. A.   McCormick, S. F.  


Journal:
SIAM Journal on Scientific Computing


Issue Date:
2000


Abstract(summary):

Two first-order system least squares (FOSLS) methods based on L 2 norms are applied to various boundary value problems of planar linear elasticity. Both use finite element discretization and multigrid solution methods. They are two-stage algorithms that solve first for the displacement flux variable (the gradient of displacement, which easily yields the deformation and stress variables), then for the displacement variable itself. As a complement to a companion theoretical paper, this paper focuses on numerical results, including finite element accuracy and multigrid convergence estimates that confirm uniform optimal performance-even as the material tends to the incompressible limit


Page:
1706-1727


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