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First-Order System Least Squares (FOSLS) for Spatial Linear Elasticity: Pure Traction

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Publication:2706372
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DOI10.1137/S0036142999361463zbMath0990.74068MaRDI QIDQ2706372

Sang Dong Kim, Thomas A. Manteuffel, Stephen F. McCormick

Publication date: 19 March 2001

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)


zbMATH Keywords

finite element discretizationPoisson ratiodual normsiterative solverthree-dimensional linear elasticitypure tractionfirst-order system least-squares functionalsL(2) normproduct Sobolev norms


Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Iterative numerical methods for linear systems (65F10)


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A mixed least‐squares finite element formulation with explicit consideration of the balance of moment of momentum, a numerical study, Least-squares methods for linear elasticity based on a discrete minus one inner product, Least-squares spectral method for velocity-vorticity-pressure form of the Stokes equations



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