An analysis of some mixed-enhanced finite element for plane linear elasticity |
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| Affiliation: | 1. Dipartimento di Meccanica Strutturale, Università di Pavia, Via Ferrata 1, Pavia I-27100, Italy;2. IMATI-CNR, Via Ferrata 1, Pavia I-27100, Italy;3. Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, Pavia I-27100, Italy;4. European School for Advanced Studies in Reduction of Seismic Risk (ROSE School), Università di Pavia, Via Ferrata 1, Pavia I-27100, Italy;1. Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Austria;2. Dipartimento di Matematica “F. Casorati”, Università degli Studi di Pavia, Italy;3. Istituto di Matematica Applicata e Tecnologie Informatiche “E. Magenes” (CNR), Italy;4. Institute of Applied Geometry, Johannes Kepler University Linz, Austria;1. Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria;2. Dipartimento di Matematica “F. Casorati”, Università degli Studi di Pavia, Italy;3. Istituto di Matematica Applicata e Tecnologie Informatiche “E. Magenes” (CNR), Italy;4. Institute of Applied Geometry, Johannes Kepler University Linz, Austria;1. Department of Mathematics, Northeastern University, Shenyang 110004, China;2. Department of Mathematics, Virginia Tech, United States;1. College of Mathematics and Information, China West Normal University, Nanchong, 637009, China;2. School of Mathematics, Sichuan University, Chengdu, 610064, China |
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| Abstract: | The paper investigates Mixed-Enhanced Strain finite elements developed within the context of the u/p formulation for nearly incompressible linear elasticity problems. A rigorous convergence and stability analysis is detailed, providing also L2-error estimates for the displacement field. Extensive numerical tests are developed, showing in particular the accordance of the computational results with the theoretical predictions. |
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