A linear nonconforming finite element method for nearly incompressible elasticity and Stokes flow.
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Publication:1578650
DOI10.1016/0045-7825(95)00829-PzbMath1067.74578OpenAlexW2039412304WikidataQ127360661 ScholiaQ127360661MaRDI QIDQ1578650
Publication date: 4 September 2000
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(95)00829-p
Finite element methods applied to problems in solid mechanics (74S05) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- An analysis of a mixed finite element method for the Navier-Stokes equations
- Equivalence of Finite Element Methods for Problems in Elasticity
- A Uniformly Accurate Finite Element Method for the Reissner–Mindlin Plate
- A technique for analysing finite element methods for viscous incompressible flow
- Old and new finite elements for incompressible flows
- Nonconforming Finite Element Methods for the Equations of Linear Elasticity
- Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
- Simple nonconforming quadrilateral Stokes element
- Mixed and Hybrid Finite Element Methods
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
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