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 |
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| container_title | SIAM journal on numerical analysis |
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| creator | QIU, WEIFENG DEMKOWICZ, LESZEK |
| description | 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. |
| doi_str_mv | 10.1137/100797539 |
| format | Article |
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| identifier | ISSN: 0036-1429 |
| ispartof | SIAM journal on numerical analysis, 2011-01, Vol.49 (1/2), p.619-641 |
| issn | 0036-1429 1095-7170 |
| language | eng |
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| source | SIAM Journals Online; JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| subjects | 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 |
| title | MIXED HP-FINITE ELEMENT METHOD FOR LINEAR ELASTICITY WITH WEAKLY IMPOSED SYMMETRY: STABILITY ANALYSIS |
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