A FETI-DP Algorithm for Saddle Point Problems in Three Dimensions

摘要

In, a new class of FETI-DP type domain decomposition algorithms was introduced and analyzed by the authors for solving incompressible Stokes equations in two dimensions. Both discontinuous and continuous pressures can be used in the mixed finite element discretization. In both cases, the indefinite system of linear equations can be reduced to a symmetric positive semi-definite system. Therefore, the preconditioned conjugate gradient method can be applied.