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- W262479084 abstract "In a recent paper by H. Blum, Lin Q., and the author,[l], it has been shown that the Ritz projection method with linear finite elements admits an asymptotic error expansion for certain classes of “uniform” meshes. This provides the theoretical justification for the use of Richardson extrapolation or related correction processes for increasing the accuracy of the scheme. The proofs are entirely based on finite element techniques and extend to situations where no “discrete” maximum principle is available. This is examplarily demonstrated here for the second-order Lamé-Navier system in plain linear elasticity and for a mixed formulation of the fourth-order Kirchhoff plate bending model." @default.
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- W262479084 date "1987-01-01" @default.
- W262479084 modified "2023-09-27" @default.
- W262479084 title "Richardson Extrapolation with Finite Elements" @default.
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- W262479084 doi "https://doi.org/10.1007/978-3-322-85997-6_9" @default.
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