The Galerkin Method and Its Variants

Part of the Texts in Applied Mathematics book series (TAM, volume 39)


In this chapter, we briefly discuss some numerical methods for solving boundary value problems. These are the Galerkin method and its variants: the Petrov-Galerkin method and the generalized Galerkin method. In Section 9.4, we rephrase the conjugate gradient method, discussed in Section 5.6, for solving variational equations.

The Galerkin method provides a general framework for approximation of operator equations, which includes the finite element method as a special case. In this section, we discuss the Galerkin method for a linear operator equation in a form directly applicable to the study of the finite element method.


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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department of Mathematics & Computer ScienceUniversity of IowaIowa CityUSA
  2. 2.Department of MathematicsUniversity of Iowa CityIowa CityUSA

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