Eigenmodes for the Laplace Operator on model geometries
Rank of displayed eigenvalues
Rank of displayed eigenvectors
Triangle of area 1
to
to
Triangle of area 4
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to
Triangle of area 16
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to
Triangle with a rotated triangular hole
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to
Hexagon
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to
Set of 3 hexagons
to
to
Set of 3 hexagons with 1 internal Dirichlet condition
to
to
Set of 4 hexagons
to
to
Set of 4 hexagons with 1 internal Dirichlet condition
to
to
Ring of 6 hexagons
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to
Hexagon with a rotated hexagonal hole
to
to
Set of 7 hexagons
to
to
Set of 7 hexagons with 3 internal Dirichlet conditions
to
to
Set of 7 hexagons with 4 internal Dirichlet conditions
to
to
Set of 7 hexagons with 5 internal Dirichlet conditions
to
to
Set of 7 hexagons with 5 internal Dirichlet conditions
to
to
Set of 7 hexagons with 7 internal Dirichlet conditions
to
to
Set of 7 hexagons with 4 internal Dirichlet conditions
to
to
Set of 7 hexagons with 9 internal Dirichlet conditions
to
to
Set of 7 hexagons with 6 internal Dirichlet conditions
to
to
Set of 7 hexagons with 8 internal Dirichlet conditions
to
to
Set of 7 hexagons with 6 internal Dirichlet conditions
to
to
Set of 7 hexagons with 6 internal Dirichlet conditions
to
to
Set of 7 hexagons with 5 internal Dirichlet conditions
to
to
Set of 19 hexagons
to
to
Set of 19 hexagons with 12 internal Dirichlet conditions
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to
Set of 19 hexagons with 15 internal Dirichlet conditions
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to
Set of 19 hexagons with 20 internal Dirichlet conditions
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to
Set of 19 hexagons with 20 internal Dirichlet conditions
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to
Set of 19 hexagons with 16 internal Dirichlet conditions
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to
Set of 19 hexagons with 16 internal Dirichlet conditions
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to
Set of 19 hexagons with 18 internal Dirichlet conditions
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to