Abstract
This book provides an introduction to a class of multilevel methods for solving discretized partial differential equations. The discretization method used is the finite volume method (also known as box method). A brief introduction of this method is given in Chapter 2. Chapter 3 describes some basic concepts of the standard multigrid method. The major topic of the book, presented in Chapter 4, is how the multigrid method is used on a special locally refined grid. Ideas and techniques of the so-called FAC (fast adaptive composite grid) algorithms are discussed together with some preliminary theoretical analysis. The AFAC method, a parallelized version of FAC, is studied in Chapter 5.
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