The Galerkin Method And Its Variants

This project is about the Galerkin method and its variants.Its variation are the Petrov-rnGalerkin method,the generalized Galerkin method and Conjugate gradient method.rnThe Galerkin method provides numerical method to solving elliptic boundary valuernproblem and its application in error estimate of Galerkin solution of linear ellipticrnboundary value problem. This project also including the numerical solution of a onerndimensional poisson with boundary condition Idea of Galerkin discretization ReplacernV in a(u,v)=`(v) 8u; v 2 V with a _nite dimensional subspace VN, is also viewed andrnsome examples are used to illustrates some numerical methods for solving boundaryrnvalue problems for the Partial Di_erential Equations(PDEs)to obtained the result.rnKey works: Dirichlet Boundary condition - Galerkin method, Poisson equation, Numericalrnsolution using Matlab

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