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摘要
In this note, the optimal L-2-error estimate of the finite volume element method (FVE) for elliptic boundary value problem is discussed. It is shown that parallel tou-u(h)parallel to(0) less than or equal to Ch(2)\lnh\(1/2)parallel tofparallel to(1,l) and parallel tou-u(h)parallel to0 less than or equal to Ch(2)parallel tofparallel to(1,p). p>1 where u is the solution of the variational problem of the second order elliptic partial differential equation, u(h) is the solution of the FVE scheme for solving the problem, and f is the given function in the right-hand side of the equation.
