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  • Home
  • Examples
  • Publications
  • Installation
  • User guide
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  • Events
  • Release notes
  • Project information
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  • API
  • Index
  • GitLab
  • POEMS
  • IRMAR

Section Navigation

  • XLiFE++’s basics
    • Basic types
    • Vectors and matrices
    • Functions and kernels
    • The Parametrization class
    • Global variables and parameters
    • Main user’s classes of XLiFE++
    • C++ syntax
  • Maths resources
    • Polynomials and random generators
    • Integration and ODE
    • Splines
    • Special functions and Green’s kernels
  • Mesh generation
    • Geometry definition
      • Segment
      • Elliptical and circular arcs
      • ParametrizedArc
      • SplineArc
      • Polygon
        • Triangle
        • Quadrangle
        • Parallelogram
        • Rectangle
        • SquareGeo
      • Ellipses & disks
      • ParametrizedSurface
      • SplineSurface
      • Polyhedron
        • Tetrahedron
        • Hexahedron
        • Parallelepiped
        • Cuboid
        • Cube
      • Ellipsoids & balls
      • Trunk
        • Cylinder
        • Prism
        • Cone
        • Pyramid
        • RevTrunk
        • RevCylinder
        • RevCone
    • Mesh generators
    • Transformations and extrusions
    • Geometric element
  • Geometric domains
  • Approximation spaces and unknowns
    • Finite elements
    • Integration methods
  • Problem definition
    • Operators on unknowns/kernels
    • Integration methods
    • H-matrices
  • Algebraic representation
    • Matrix storages
    • TermMatrix and TermVector in details
  • Solvers
    • Iterative Solvers
    • Eigen solvers
  • Third-party dependencies
    • Multi-threading with OpenMP
    • Using Arpack
    • Using Umfpack
  • Language reference
  • Problem definition

Problem definition#

  • Operators on unknowns/kernels
    • Available differential operators
    • The DifferentialOperator class
    • The Operand class
    • The OperatorOnUnknown class
    • The OperatorOnUnknowns class
    • The LcOperatorOnUnknown class
    • The LcOperatorOnUnknowns class
    • The OperatorOnKernel class
    • The KernelOperatorOnUnknowns class
    • The TensorKernel class
  • Integration methods
    • The best rules per shape and order
    • The IntegrationMethod, SingleIM, DoubleIM classes
    • The QuadratureIM class
    • The ProductIM class
    • The Quadrature, QuadratureRule classes
    • Integration methods for singular kernels
  • H-matrices
    • Cluster tree
    • Approximate matrix

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Integration methods

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Operators on unknowns/kernels

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