Assembly

Assembles the global matrices.

  • This file is a part of the coursework module Personal Programming Project (PPP) in M.Sc. Computational Materials Science, Technische Universität Bergakademie Freiberg.

  • This file is a part of the project Modeling of radiative heat-exchange using finite element method

This file consists of Assembly class that assembles the global matrices to be used by the Solver class.

class assembly.Assembly(mesh: Mesh)

Bases: object

Class to assemble element contributions.

Parameters:

mesh (parser.Mesh) – Mesh object consisting of all information parsed from mesh file.

assemble() → None

Method to assemble the element contributions.

assemble_load(i: int, load_vector: array) → None

Method that assembles global load vector.

Parameters:

  • i (int) – Index of the element under consideration.

  • load_vector (NumPy array) – Element contribution of the load.

assemble_stiffness(i: int, stiffness: array) → None

Method that assembles global stiffness matrix.

Parameters:

  • i (int) – Index of the element in consideration.

  • stiffness (NumPy array) – Element stiffness.

assemble_stiffness_capacitance(i: int, stiffness: array, capacitance: array) → None

Method that assembles global stiffness matrix and global capacitance matrix.

Parameters:

  • i (int) – Index of the element in consideration.

  • stiffness (NumPy array) – Element stiffness.

  • capacitance (NumPy array) – Element capacitance.

compute_indices() → None

Method to compute the connectivity indices of the elements.

property connectivity_matrix: array

Connectivity matrix stacks the connectivities of the elements vertically.

Return type:

NumPy array

property global_C: array

Global capacitance matrix.

Return type:

NumPy array

property global_F: array

Global load contribution.

Return type:

NumPy array

property global_K: array

Global stiffness matrix.

Return type:

NumPy array