SIAM Journal on Numerical Analysis · 1974 · 46 citations · 3 references
ComputingComputational EngineeringComputational Fluid DynamicsFinite Element AnalysisFinite Element MethodsBoundary-value ProblemsConvergence AnalysisError EstimationFinite Difference MethodsFinite Element DiscretizationFinite Element FormulationBoundary Value Problem SolversFinite Element Numerical IntegrationFlux ApproximationGalerkin ApproximationGalerkin DiscretizationTwo-point Boundary Value ProblemsTwo-point Boundary-value Formulation
A method for obtaining very accurate approximations of the flux values at particular points of the domain for the two-point boundary value problem is analyzed. The method is based on the use of a Galerkin solution of the problem. The error in the flux is reduced from $\mathcal{O}(h^r )$ to $\mathcal{O}(h^{2r} )$.
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