First-order system least squares for linear elasticity: Numerical results

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 rst 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 con rm uniform optimal performance even as the material tends to the incompressible limit.
Publisher
SIAM PUBLICATIONS
Issue Date
2000-05
Language
ENG
Keywords

FINITE-ELEMENT METHOD; PURE TRACTION PROBLEM

Citation

SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.21, no.5, pp.1706 - 1727

ISSN
1064-8275
DOI
10.1137/S1064827598338640
URI
http://hdl.handle.net/10203/8509
Appears in Collection
MA-Journal Papers(저널논문)
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