KerMor  0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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fem.geometry.Cube20Node Class Reference

Hexahedral geometry with 20 position nodes on each basic hexahedron/cube. More...

Detailed Description

Hexahedral geometry with 20 position nodes on each basic hexahedron/cube.

Cube indexing on [-1, 1]³
       18---19---20 
      / |       / |
    16  |    17  |        Z+
   /    11   /    12       |     Y+
  13--14+---15    |        |    /
  |     |   |     |        |   /
  |     6---+7----8        |  /
  |    /    |    /         | / 
  9   4    10   5          |/
  | /       | /            +---------X+
  |/        |/
  1----2----3 

Corner indices: 1 3 6 8 13 15 18 20

%

Cube node positions
C1 -1 -1 -1 E2 0 -1 -1 C3 1 -1 -1 E4 -1 0 -1 % 0 0 -1 E5 1 0 -1 C6 -1 1 -1 E7 0 1 -1 C8 1 1 -1 E9 -1 -1 0 % 0 -1 0 E10 1 -1 0 %-1 0 0 % 0 0 0 % 1 0 0 E11 -1 1 0 % 0 1 0 E12 1 1 0 C13 -1 -1 1 E14 0 -1 1 C15 1 -1 1 E16 -1 0 1 % 0 0 1 E17 1 0 1 C18 -1 1 1 E19 0 1 1 C20 1 1 1

without combinations 5,11,13,14,15,17 and 23 (they are neither on a corner or an edge due to 2 zero entries)

Definition at line 19 of file Cube20Node.m.

Public Member Functions

 Cube20Node (pts, cubes)
 
function cube8 = toCube8Node ()
 Creates a 8 node cube geometry from this 20 node cube geometry by simply leaving out the on-edge nodes. More...
 
- Public Member Functions inherited from fem.geometry.BaseGeometry
 BaseGeometry ()
 
function  plot (withdofnr, elem, pm)
 
function bounds = getBoundingBox (marginfac)
 
function
commonidx = 
getCommonNodesWith (other)
 
function  swapYZ ()
 
function copy = scale (factor)
 
function  reverseAxis (dim)
 
function [ sub ,

nodeidx , faces ] = 
getSubMesh (elems, faces)
 
function  toCMGUI (folder, name)
 

Additional Inherited Members

- Static Public Member Functions inherited from fem.geometry.BaseGeometry
static function res = test_DemoGrids ()
 
static function  test_subMesh ()
 
- Public Attributes inherited from fem.geometry.BaseGeometry
 Nodes
 n x 3 position vector of nodes More...
 
 Elements
 m x p index vector for all p nodes of m elements More...
 
 Edges
 2 x k index vector for edges between two points More...
 
 DofsPerElement
 
 MasterFaces
 
 PatchFacesIdx
 The indices of the nodes suitable for creating a patch surface object. More...
 
 PatchesPerFace
 
 Faces
 A 2 x N_F vector containing the element number in the first row and the face number on that element in the second row. More...
 
 OrientationCheckIndices
 
 ReverseAxesIndices
 
 NumElements
 
 NumNodes
 
 NumFaces
 
 NodesPerFace
 
 Width
 Returns the width of the geometry (x-range) More...
 
 Depth
 Returns the Depth of the geometry (y-range) More...
 
 Height
 Returns the Height of the geometry (z-range) More...
 
 FaceNormals
 Faces are: Idx : 1 2 3 4 5 6 Face: X- X+ Y- Y+ Z- Z+ Pos: Left Right Front Rear Bottom Top. More...
 
 FaceDims
 
 PatchFaces
 
- Public Attributes inherited from handle
 addlistener
 Creates a listener for the specified event and assigns a callback function to execute when the event occurs. More...
 
 notify
 Broadcast a notice that a specific event is occurring on a specified handle object or array of handle objects. More...
 
 delete
 Handle object destructor method that is called when the object's lifecycle ends. More...
 
 disp
 Handle object disp method which is called by the display method. See the MATLAB disp function. More...
 
 display
 Handle object display method called when MATLAB software interprets an expression returning a handle object that is not terminated by a semicolon. See the MATLAB display function. More...
 
 findobj
 Finds objects matching the specified conditions from the input array of handle objects. More...
 
 findprop
 Returns a meta.property objects associated with the specified property name. More...
 
 fields
 Returns a cell array of string containing the names of public properties. More...
 
 fieldnames
 Returns a cell array of string containing the names of public properties. See the MATLAB fieldnames function. More...
 
 isvalid
 Returns a logical array in which elements are true if the corresponding elements in the input array are valid handles. This method is Sealed so you cannot override it in a handle subclass. More...
 
 eq
 Relational functions example. See details for more information. More...
 
 transpose
 Transposes the elements of the handle object array. More...
 
 permute
 Rearranges the dimensions of the handle object array. See the MATLAB permute function. More...
 
 reshape
 hanges the dimensions of the handle object array to the specified dimensions. See the MATLAB reshape function. More...
 
 sort
 ort the handle objects in any array in ascending or descending order. More...
 
- Protected Member Functions inherited from fem.geometry.BaseGeometry
function faces = computeFaces ()
 Computes the outward faces of this fem.geometry. More...
 
function  faceComputations (faces)
 % Also compute the PatchFaces index matrix More...
 
function  checkOrientation ()
 

Constructor & Destructor Documentation

Member Function Documentation

function cube8 = fem.geometry.Cube20Node.toCube8Node ( )

Creates a 8 node cube geometry from this 20 node cube geometry by simply leaving out the on-edge nodes.

Definition at line 130 of file Cube20Node.m.

References fem.geometry.BaseGeometry.Elements, and fem.geometry.BaseGeometry.Nodes.


The documentation for this class was generated from the following file: