Covolume-based intergrid transfer operator in P1 nonconforming multigrid method Original Research Article

In this paper, we introduce an intergrid transfer operator which is based on the covolume of nodes in a P1 nonconforming multigrid method and prove the convergence of the multigrid method with this intergrid transfer operator. This intergrid transfer operator needs fewer computations and neighborhood node values than previous operators, which is a good property for parallelization. The P1 nonconforming multigrid method with this intergrid transfer operator is suitable for solving problems with Robin boundary conditions and nonlinear problems with bound constraints on solutions.