MIXED HP-FINITE ELEMENT METHOD FOR LINEAR ELASTICITY WITH WEAKLY IMPOSED SYMMETRY: STABILITY ANALYSIS

MIXED HP-FINITE ELEMENT METHOD FOR LINEAR ELASTICITY WITH WEAKLY IMPOSED SYMMETRY: STABILITY ANALYSIS

The paper presents a generalization of Arnold—Falk—Winther elements for linear elasticity to meshes with elements of variable order. The generalization is straightforward but the stability analysis involves a nontrivial modification of involved interpolation operators. The analysis addresses only th...

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Veröffentlicht in:SIAM journal on numerical analysis 2011-01, Vol.49 (1/2), p.619-641
Hauptverfasser: QIU, WEIFENG, DEMKOWICZ, LESZEK
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Approximation
Approximations and expansions
Convergence
Elasticity
Exact sciences and technology
Finite element analysis
Finite element method
Interpolation
Linear transformations
Mathematical analysis
Mathematical models
Mathematical vectors
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Operators
Polynomials
Sciences and techniques of general use
Stability analysis
Studies
Symmetry
Tetrahedrons
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Zusammenfassung:The paper presents a generalization of Arnold—Falk—Winther elements for linear elasticity to meshes with elements of variable order. The generalization is straightforward but the stability analysis involves a nontrivial modification of involved interpolation operators. The analysis addresses only the h-convergence. In addition, numerical experiments for two dimensional cases are provided.
ISSN:0036-1429
1095-7170
DOI:10.1137/100797539