3. Generalities

This command allows you to solve:

• • • by a direct method, the linear system \(\mathrm{AX}=B\), where \(A\) is a matrix previously « factorized » by the command FACTORISER [U4.51.01.],

    • by an iterative method (GCPC or PETSC), the linear system \({P}^{-1}\mathrm{AX}={P}^{-1}B\), where \({P}^{-1}\) is a pre-conditioning matrix determined by the command FACTORISER [U4.51.01] and \(A\) the initial assembled matrix.

Resolution is possible for dualized or eliminated Dirichlet boundary conditions (kinematic boundary conditions) [U2.01.02]. In the latter case, if the load \(\mathrm{X}={\mathrm{X}}_{0}\) on the « edge » \({\Gamma }_{0}\) is applied with a kinematic load (operator AFFE_CHAR_CINE [U4.44.03]) taken into account in the assembled matrix (operator ASSE_MATRICE [U4.61.22]), the « value » of this load \(({X}_{0})\), calculated by the operator CALC_CHAR_CINE [U4.61.03] must be provided by the CHAM_CINE keyword.