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Johnson–Mercier

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Alternative names	Johnson–Mercier–Křížek
Degrees	\(k=1\)
Reference cells	triangle, tetrahedron
DOFs	On each facet: integral moments of normal-normal and normal-tangent inner products with a degree \(1\) Lagrange space On the interior of the reference cell: integral moments of d(d+1)/2 components with a degree \(0\) Lagrange space
Number of DOFs	triangle: \(15\) tetrahedron: \(42\)
Mapping	double contravariant Piola
continuity	Inner products with normals to facets are continuous
Categories	Matrix-valued elements, Macro elements

Implementations

This element is implemented in FIAT.↓ Show implementation detail ↓

References

Johnson, Claes and Mercier, Bertrand. Some equilibrium finite element methods for two-dimensional elasticity problems, Numerische Mathematik 30(1), 103–116, 1978. [DOI: 10.1007/BF01403910] [BibTeX]
Křížek, Michal. An equilibrium finite element method in three-dimensional elasticity, Aplikace Matematiky 27(1), 46–75, 1982. [BibTeX]

DefElement stats

Element added	25 September 2024
Element last updated	04 June 2025