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• W2045504032 endingPage "1260" @default.
• W2045504032 startingPage "1226" @default.
• W2045504032 abstract "Locally conservative, finite volume-type methods based on continuous piecewise polynomial functions of degree r ge 2 are introduced and analyzed in the context of indefinite elliptic problems in one space dimension. The new methods extend and generalize the classical finite volume method based on piecewise linear functions. We derive a priori error estimates in the L2 , H1 , and L^infty norm and discuss superconvergence effects for the error and its derivative. Explicit, residual-based a posteriori error bounds in the L2 and energy norm are also derived. We compute the experimental order of convergence and show the results of an adaptive algorithm based on the a posteriori error estimates." @default.
• W2045504032 created "2016-06-24" @default.
• W2045504032 creator A5035937926 @default.
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• W2045504032 date "2004-01-01" @default.
• W2045504032 modified "2023-10-03" @default.
• W2045504032 title "On the Construction and Analysis of High Order Locally Conservative Finite Volume-Type Methods for One-Dimensional Elliptic Problems" @default.
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• W2045504032 doi "https://doi.org/10.1137/s0036142902406302" @default.
• W2045504032 hasPublicationYear "2004" @default.
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