Class: DEC

Methods

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<static> buildHodgeStar0Form(geometry, vertexIndex)

Builds a sparse diagonal matrix encoding the Hodge operator on 0-forms.
By convention, the area of a vertex is 1.

Parameters:

Name	Type	Description
geometry	module:Core.Geometry	The geometry of a mesh.
vertexIndex	Object	A dictionary mapping each vertex of a mesh to a unique index.

Returns:

Type

module:LinearAlgebra.SparseMatrix

---

<static> buildHodgeStar1Form(geometry, edgeIndex)

Builds a sparse diagonal matrix encoding the Hodge operator on 1-forms.

Parameters:

Name	Type	Description
geometry	module:Core.Geometry	The geometry of a mesh.
edgeIndex	Object	A dictionary mapping each edge of a mesh to a unique index.

Returns:

Type

module:LinearAlgebra.SparseMatrix

---

<static> buildHodgeStar2Form(geometry, faceIndex)

Builds a sparse diagonal matrix encoding the Hodge operator on 2-forms.
By convention, the area of a vertex is 1.

Parameters:

Name	Type	Description
geometry	module:Core.Geometry	The geometry of a mesh.
faceIndex	Object	A dictionary mapping each face of a mesh to a unique index.

Returns:

Type

module:LinearAlgebra.SparseMatrix

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<static> buildExteriorDerivative0Form(geometry, edgeIndex, vertexIndex)

Builds a sparse matrix encoding the exterior derivative on 0-forms.

Parameters:

Name	Type	Description
geometry	module:Core.Geometry	The geometry of a mesh.
edgeIndex	Object	A dictionary mapping each edge of a mesh to a unique index.
vertexIndex	Object	A dictionary mapping each vertex of a mesh to a unique index.

Returns:

Type

module:LinearAlgebra.SparseMatrix

---

<static> buildExteriorDerivative1Form(geometry, faceIndex, edgeIndex)

Builds a sparse matrix encoding the exterior derivative on 1-forms.

Parameters:

Name	Type	Description
geometry	module:Core.Geometry	The geometry of a mesh.
faceIndex	Object	A dictionary mapping each face of a mesh to a unique index.
edgeIndex	Object	A dictionary mapping each edge of a mesh to a unique index.

Returns:

Type

module:LinearAlgebra.SparseMatrix