• James LottesEmail author
Part of the Springer Theses book series (Springer Theses)


This chapter presents the formulation and discretization (by the finite element method) of two simple model problems, the symmetric Poisson’s equation and the non-symmetric advection-diffusion equation. For the symmetric problem, a brief presentation and analysis of the method of solution by geometric multigrid is included. The purpose is to introduce, in a concrete setting, all of the concepts appearing in later chapters, including the variational setting, linear iterative methods, and multigrid in its general conception. This material is background, and for the most part, later chapters can be read independently of this one, except that the non-symmetric model problem will be used for illustrative purposes throughout.


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Authors and Affiliations

  1. 1.Google Inc.Mountain ViewUSA

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