A two-stage least-squares finite element method for the stress-pressure-displacement elasticity equations
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Publication:4240612
DOI<297::AID-NUM2>3.0.CO;2-H 10.1002/(SICI)1098-2426(199805)14:3<297::AID-NUM2>3.0.CO;2-HzbMath0927.74074OpenAlexW2061482696MaRDI QIDQ4240612
Suh-Yuh Yang, Ching-Lung Chang
Publication date: 20 December 1999
Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199805)14:3<297::aid-num2>3.0.co;2-h
error estimatesnumerical stabilityrates of convergence\(L(2)\)-norm\(H(1)\)-normnonnegative parameter
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)
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Cites Work
- A mixed finite element method for the Stokes problem: an acceleration-pressure formulation
- Least-squares finite elements for the Stokes problem
- Least squares finite element simulation of transonic flows
- Two classes of mixed finite element methods
- Finite element method for the solution of Maxwell's equations in multiple media
- Least-square finite element method for electromagnetic fields in 2-D
- Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations.
- Least squares methods for optimal shape design problems
- Linear elliptic differential systems and eigenvalue problems
- Least-squares methods for Stokes equations based on a discrete minus one inner product
- A least-squares finite element method for incompressible flow in stress-velocity-pressure version
- Analysis of Some Mixed Finite Element Methods for Plane Elasticity Equations
- A Comparative Study of Finite Element and Finite Difference Methods for Cauchy-Riemann Type Equations
- On least-squares approximations to compressible flow problems
- On the Numerical Solutions of Helmholtz’s Equation by the Finite Element Method
- Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
- Mixed and Hybrid Finite Element Methods
- Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
- Least-Squares Finite Element Method for the Stokes Problem with Zero Residual of Mass Conservation
- A least-squares approach based on a discrete minus one inner product for first order systems
- CONJUGATE PROBLEMS OF ELLIPTIC DIFFERENTIAL AND PSEUDODIFFERENTIAL BOUNDARY VALUE PROBLEMS IN A BOUNDED DOMAIN
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- A Subdomain–Galerkin/Least Squares Method for First-Order Elliptic Systems in the Plane