This book deals with the efficient solution of the large sparse
systems of equations arising from the discretization of partial
differential equations (PDEs) which mathematically model problems
encountered in many applications to physics and engineering. This
issue is one of the most important aspects in the numerical
solution of many problems, and therefore it deserves important
attention. With this purpose, our primary interest here is to
design efficient finite element geometric multigrid methods on
semi-structured triangular grids. To this end, a local Fourier
analysis (LFA) on triangular grids is presented in this book,
resulting in a very useful tool to choose suitable components of
multigrid methods. The practical utility of this approach is
illustrated with some examples of scalar and vector problems.
General
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