In scientific computing, efficient iterative solution strategies for linear systems are extremely
important. This thesis presents a flexible aggregation-based algebraic multigrid framework …

We consider the Fourier analysis of multigrid methods (of Galerkin type) for symmetric
positive definite and semi-positive definite linear systems arising from the discretization of …

We consider the algebraic convergence theory that gives its theoretical foundations to
classical algebraic multigrid methods. All the main results constitutive of the approach are …

The multigrid method is widely used in fluid simulation because of its strong convergence. In
addition to operating accuracy, operational efficiency is also an important factor to consider …

The multigrid method has been widely used in computational fluid dynamics (CFD)
numerical calculations because of its strong convergence. To achieve real-time simulation of …

We consider a modification of the Reitzinger-Schöberl algebraic multigrid method for the
iterative solution of the curl-curl boundary value problem discretized with edge elements …

We present an algebraic analysis of two-level multigrid methods for the solution of linear
systems arising from the discretization of the curl-curl boundary value problem with edge …