.. _V1.04.118:

**v1.04.118** PETSC03 - Validating the PETSc solver with a second level preconditioner
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**Summary:**

This test case makes it possible to validate the operation of the algorithm GMRES_LMP of the solver PETSC. This algorithm consists in using the iterative solver GMRES with a first level preconditioner (here LDLT_SP) and a second level preconditioner, called Limited Memory Preconditioner. Refer to the reference documentation [:ref:`R6.01.02 <R6.01.02>`] for more details on the second level preconditioner, as well as to the user documentation [:ref:`U4.50.01 <U4.50.01>`].

The test is derived from the mumps02 test case described in the validation documentation [:external:ref:`V1.04.112 <V1.04.112>`]). It includes two models, making it possible to verify the correct functioning of the solver on 1 and 2 processors respectively.


.. toctree::
    :hidden:

    self

.. toctree::
    :maxdepth: 2
    :numbered:

    Probl_me_de_r_f_rence
    Solution
    Mod_lisation_A
    Mod_lisation_B
    Synth_se_des_r_sultats