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KerMor
0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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KerMor
0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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Triquatratic: Quadratic ansatz functions on cube with 20 nodes per cube. More...
Triquatratic: Quadratic ansatz functions on cube with 20 nodes per cube.
Definition at line 18 of file HexahedronSerendipity.m.
Public Member Functions | |
| HexahedronSerendipity (geo) | |
| function Nx = | N (colvec< double > x) |
| Triquadratic basis functions. More... | |
| function dNx = | gradN (colvec< double > x) |
 Public Member Functions inherited from fem.BaseFEM | |
| BaseFEM (geometry) | |
| function | init () |
| function a = | getFaceArea (elemidx, faceidx) |
| function v = | getElementVolume (elemidx) |
| Returns the volume of the element with the specified index in [mm³]. More... | |
| function v = | getTotalVolume () |
| Returns the total geometry volume in [mm³]. More... | |
| function gp = | getGlobalGaussPoints (elemidx) |
| Returns the positions of all gauss points of the specified element in global (=reference) coordinates. More... | |
| function | plot (pm) |
| virtual function matrix< double > nx = | N (matrix< double > x) |
| Evaluates the elementary basis functions on the geometry master element. More... | |
| virtual function dnx = | gradN (matrix< double > x) |
| Evaluates the gradients of the elementary basis functions on the master element. More... | |
Static Public Member Functions | |
| static function res = | test_QuadraticBasisFun () |
| Static Public Member Functions inherited from fem.BaseFEM | |
| static function res = | test_JacobiansDefaultGeo () |
| Tests if the deformation jacobians using linear and quadratic elements is the same for a default geometry. More... | |
Additional Inherited Members | |
| Public Attributes inherited from fem.BaseFEM | |
| GaussPointRule | |
| GaussPointsPerElem | |
| GaussPointsPerElemFace | |
| Geometry | |
| Ngp | |
| Values of basis functions on gauss points. More... | |
| M | |
| The mass matrix. More... | |
| D | |
| The damping matrix (for linear damping) More... | |
| Sigma | |
| The element-dof to global node assembly matrix. More... | |
| elem_detjac | |
| face_detjac | |
| Ngpface | |
| dN_facenormals | |
| transgrad | |
| transformed basis function gradients, stored in eldofs x gp*3 x element matrix (accessible in 20x3-chunks for each gauss point and element) More... | |
| GaussPoints | |
| % Gauss integration related properties More... | |
| GaussWeights | |
| FaceGaussPoints | |
| FaceGaussWeights | |
| NormalsOnFaceGP | |
| FaceAreas | |
| 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... | |
| Static Protected Member Functions inherited from fem.BaseFEM | |
| static function res = | test_BasisFun (subclass) |
| fem.HexahedronSerendipity.HexahedronSerendipity | ( | geo | ) |
Definition at line 29 of file HexahedronSerendipity.m.
Definition at line 95 of file HexahedronSerendipity.m.
Triquadratic basis functions.
N corner index 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 <-Corners Combinatorial corner index 1 2 3 4 6 7 8 9 10 12 16 18 19 20 21 22 24 25 26 27 (Missing 5,11,13,14,15,17,23)
| x | The state variable vector \(\vx(t)\) |
Definition at line 37 of file HexahedronSerendipity.m.
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static |
Definition at line 124 of file HexahedronSerendipity.m.
1.8.6 
