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Finite element method for two-dimensional thermal problem for parabolic equation in Cartesian coordinate system.

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Finite Element Method

  • Finite element method for two-dimensional thermal problem for parabolic equation in Cartesian coordinate system.
  • The default implicit four-layer scheme is used for time approximation, but a two- or three-layer scheme can also be used.
  • Hierarchical cubic functions on triangles are used as basis functions.
  • Boundary conditions of the first and second types.
  • Equation coefficients are constant within a finite element.
  • The coefficients are set according to the materials of the regions specified in the input file with the grid.
  • Matrix of the system of linear equations is formed in sparse row-column format.
  • The conjugate gradient method (CGM), local optimum scheme (LOS) or bis-conjugate gradient method (BSG) can be used to solve SLAEs.

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Finite element method for two-dimensional thermal problem for parabolic equation in Cartesian coordinate system.

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