FEmTool — libcascade

OCCT package FEmTool: FEmTool_Assembly, FEmTool_Curve, FEmTool_ElementaryCriterion, FEmTool_ElementsOfRefMatrix, and 5 more bound classes.

FEmTool_Assembly

Assemble and solve system from (one dimensional) Finite Elements.

Constructors(1)

constructor(Dependence: NCollection_Array2_int, Table: NCollection_HArray2_handle_NCollection_HArray1_int): FEmTool_Assembly
Parameters (2)
- Dependence
- Table

Instance methods(12)

NullifyMatrix(): void
Nullify all Matrix's Coefficient.
AddMatrix(Element: number, Dimension1: number, Dimension2: number, Mat: math_Matrix): void
Add an elementary Matrix in the assembly Matrix if Dependence(Dimension1,Dimension2) is False.
Parameters (4)
- Element
- Dimension1
- Dimension2
- Mat
NullifyVector(): void
Nullify all Coordinate of assembly Vector (second member)
AddVector(Element: number, Dimension: number, Vec: math_VectorBase_double): void
Add an elementary Vector in the assembly Vector (second member)
Parameters (3)
- Element
- Dimension
- Vec
ResetConstraint(): void
Delete all Constraints.
NullifyConstraint(): void
Nullify all Constraints.
AddConstraint(IndexofConstraint: number, Element: number, Dimension: number, LinearForm: math_VectorBase_double, Value: number): void
Parameters (5)
- IndexofConstraint
- Element
- Dimension
- LinearForm
- Value
Solve(): boolean
Solve the assembly system Returns false if the computation failed.
Solution(Solution: math_VectorBase_double): void
Parameters (1)
- Solution
NbGlobVar(): number
AssemblyTable(): NCollection_HArray2_handle_NCollection_HArray1_int
Returns the assembly table mapping element-local indices to global indices.
Returns
const reference to the assembly table
GetAssemblyTable(): { AssTable: NCollection_HArray2_handle_NCollection_HArray1_int; [Symbol.dispose](): void }
Returns the assembly table via output parameter.
Deprecated
Returns
A result object with fields:
- AssTable: owned by the returned envelope.
  Dispose the returned envelope to release owned Handle fields.

FEmTool_Curve

Standard_Transient

Curve defined by Polynomial Elements.

Constructors(1)

constructor(Dimension: number, NbElements: number, TheBase: PLib_HermitJacobi, Tolerance: number): FEmTool_Curve
Parameters (4)
- Dimension
- NbElements
- TheBase
- Tolerance

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(15)

Knots(): NCollection_Array1_double
SetElement(IndexOfElement: number, Coeffs: NCollection_Array2_double): void
Parameters (2)
- IndexOfElement
- Coeffs
D0(U: number, Pnt: NCollection_Array1_double): void
Parameters (2)
- U
- Pnt
D1(U: number, Vec: NCollection_Array1_double): void
Parameters (2)
- U
- Vec
D2(U: number, Vec: NCollection_Array1_double): void
Parameters (2)
- U
- Vec
Length(FirstU: number, LastU: number, Length?: number): { Length: number }
Parameters (3)
- FirstU
- LastU
- Length
GetElement(IndexOfElement: number, Coeffs: NCollection_Array2_double): void
Parameters (2)
- IndexOfElement
- Coeffs
GetPolynom(Coeffs: NCollection_Array1_double): void
returns coefficients of all elements in canonical base.
Parameters (1)
- Coeffs —
  Mutated in place; read the updated value from this argument after the call.
NbElements(): number
Dimension(): number
Base(): PLib_HermitJacobi
Degree(IndexOfElement: number): number
Parameters (1)
- IndexOfElement
SetDegree(IndexOfElement: number, Degree: number): void
Parameters (2)
- IndexOfElement
- Degree
ReduceDegree(IndexOfElement: number, Tol: number, NewDegree?: number, MaxError?: number): { NewDegree: number; MaxError: number }
Parameters (4)
- IndexOfElement
- Tol
- NewDegree
- MaxError
DynamicType(): Standard_Type

FEmTool_ElementaryCriterion

Standard_Transient

defined J Criteria to used in minimisation

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(7)

Set(Coeff: NCollection_HArray2_double): void
Set the coefficient of the Element (the Curve)
Parameters (1)
- Coeff
Set(FirstKnot: number, LastKnot: number): void
Set the definition interval of the Element.
Parameters (2)
- FirstKnot
- LastKnot
DependenceTable(): NCollection_HArray2_int
To know if two dimension are independent.
Value(): number
To Compute J(E) where E is the current Element.
Hessian(Dim1: number, Dim2: number, H: math_Matrix): void
To Compute J(E) the coefficients of Hessian matrix of J(E) which are crossed derivatives in dimensions <Dim1> and <Dim2>. If DependenceTable(Dimension1,Dimension2) is False.
Parameters (3)
- Dim1
- Dim2
- H
Gradient(Dim: number, G: math_VectorBase_double): void
To Compute the coefficients in the dimension <dim> of the J(E)'s Gradient where E is the current Element.
Parameters (2)
- Dim
- G
DynamicType(): Standard_Type

this class describes the functions needed for calculating matrix elements of RefMatrix for linear criteriums (Tension, Flexion and Jerk) by Gauss integration. Each function from set gives value Pi(u)'*Pj(u)' or Pi(u)''*Pj(u)'' or Pi(u)'''*Pj(u)''' for each i and j, where Pi(u) is i-th basis function of expansion and (') means derivative.

Constructors(1)

constructor(TheBase: PLib_HermitJacobi, DerOrder: number): FEmTool_ElementsOfRefMatrix
Parameters (2)
- TheBase
- DerOrder

Instance methods(3)

NbVariables(): number
returns the number of variables of the function. It is supposed that NbVariables = 1.
NbEquations(): number
returns the number of equations of the function.
Value(X: math_VectorBase_double, F: math_VectorBase_double): boolean
computes the values <F> of the functions for the variable <X>. returns True if the computation was done successfully, False otherwise. F contains results only for i<=j in following order: P0P0, P0P1, P0P2... P1P1, P1*P2,... (upper triangle of matrix {PiPj})
Parameters (2)
- X
- F

FEmTool_LinearFlexion

FEmTool_ElementaryCriterionStandard_Transient

Criterium of LinearFlexion To Hermit-Jacobi elements.

Constructors(1)

constructor(WorkDegree: number, ConstraintOrder: GeomAbs_Shape): FEmTool_LinearFlexion
Parameters (2)
- WorkDegree
- ConstraintOrder

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(5)

DependenceTable(): NCollection_HArray2_int
To know if two dimension are independent.
Value(): number
To Compute J(E) where E is the current Element.
Hessian(Dim1: number, Dim2: number, H: math_Matrix): void
To Compute J(E) the coefficients of Hessian matrix of J(E) which are crossed derivatives in dimensions <Dim1> and <Dim2>. If DependenceTable(Dimension1,Dimension2) is False.
Parameters (3)
- Dim1
- Dim2
- H
Gradient(Dim: number, G: math_VectorBase_double): void
To Compute the coefficients in the dimension <dim> of the J(E)'s Gradient where E is the current Element.
Parameters (2)
- Dim
- G
DynamicType(): Standard_Type

FEmTool_LinearJerk

FEmTool_ElementaryCriterionStandard_Transient

Criterion of LinearJerk To Hermit-Jacobi elements.

Constructors(1)

constructor(WorkDegree: number, ConstraintOrder: GeomAbs_Shape): FEmTool_LinearJerk
Parameters (2)
- WorkDegree
- ConstraintOrder

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(5)

DependenceTable(): NCollection_HArray2_int
To know if two dimension are independent.
Value(): number
To Compute J(E) where E is the current Element.
Hessian(Dim1: number, Dim2: number, H: math_Matrix): void
To Compute J(E) the coefficients of Hessian matrix of J(E) which are crossed derivatives in dimensions <Dim1> and <Dim2>. If DependenceTable(Dimension1,Dimension2) is False.
Parameters (3)
- Dim1
- Dim2
- H
Gradient(Dim: number, G: math_VectorBase_double): void
To Compute the coefficients in the dimension <dim> of the J(E)'s Gradient where E is the current Element.
Parameters (2)
- Dim
- G
DynamicType(): Standard_Type

FEmTool_LinearTension

FEmTool_ElementaryCriterionStandard_Transient

Criterium of LinearTension To Hermit-Jacobi elements.

Constructors(1)

constructor(WorkDegree: number, ConstraintOrder: GeomAbs_Shape): FEmTool_LinearTension
Parameters (2)
- WorkDegree
- ConstraintOrder

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(5)

DependenceTable(): NCollection_HArray2_int
To know if two dimension are independent.
Value(): number
To Compute J(E) where E is the current Element.
Hessian(Dim1: number, Dim2: number, H: math_Matrix): void
To Compute J(E) the coefficients of Hessian matrix of J(E) which are crossed derivatives in dimensions <Dim1> and <Dim2>. If DependenceTable(Dimension1,Dimension2) is False.
Parameters (3)
- Dim1
- Dim2
- H
Gradient(Dim: number, G: math_VectorBase_double): void
To Compute the coefficients in the dimension <dim> of the J(E)'s Gradient where E is the current Element.
Parameters (2)
- Dim
- G
DynamicType(): Standard_Type

FEmTool_ProfileMatrix

FEmTool_SparseMatrixStandard_Transient

Symmetric Sparse ProfileMatrix useful for 1D Finite Element methods.

Constructors(1)

constructor(FirstIndexes: NCollection_Array1_int): FEmTool_ProfileMatrix
Parameters (1)
- FirstIndexes

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(13)

Init(Value: number): void
Parameters (1)
- Value
ChangeValue(I: number, J: number): number
Parameters (2)
- I
- J
Decompose(): boolean
To make a Factorization of <me>
Solve(B: math_VectorBase_double, X: math_VectorBase_double): void
Direct Solve of AX = B.
Parameters (2)
- B
- X
Solve(B: math_VectorBase_double, Init: math_VectorBase_double, X: math_VectorBase_double, Residual: math_VectorBase_double, Tolerance: number, NbIterations: number): void
Iterative solve of AX = B.
Parameters (6)
- B
- Init
- X
- Residual
- Tolerance
- NbIterations
Prepare(): boolean
Make Preparation to iterative solve.
Multiplied(X: math_VectorBase_double, MX: math_VectorBase_double): void
returns the product of a SparseMatrix by a vector. An exception is raised if the dimensions are different
Parameters (2)
- X
- MX
RowNumber(): number
returns the row range of a matrix.
ColNumber(): number
returns the column range of the matrix.
IsInProfile(i: number, j: number): boolean
Parameters (2)
- i
- j
OutM(): void
OutS(): void
DynamicType(): Standard_Type

FEmTool_SparseMatrix

Standard_Transient

Sparse Matrix definition.

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(10)

Init(Value: number): void
Parameters (1)
- Value
ChangeValue(I: number, J: number): number
Parameters (2)
- I
- J
Decompose(): boolean
To make a Factorization of <me>
Solve(B: math_VectorBase_double, X: math_VectorBase_double): void
Direct Solve of AX = B.
Parameters (2)
- B
- X
Solve(B: math_VectorBase_double, Init: math_VectorBase_double, X: math_VectorBase_double, Residual: math_VectorBase_double, Tolerance: number, NbIterations: number): void
Iterative solve of AX = B.
Parameters (6)
- B
- Init
- X
- Residual
- Tolerance
- NbIterations
Prepare(): boolean
Make Preparation to iterative solve.
Multiplied(X: math_VectorBase_double, MX: math_VectorBase_double): void
returns the product of a SparseMatrix by a vector. An exception is raised if the dimensions are different
Parameters (2)
- X
- MX
RowNumber(): number
returns the row range of a matrix.
ColNumber(): number
returns the column range of the matrix.
DynamicType(): Standard_Type