Superconvergence of finite element approximations to integro-differential equations of parabolic type (Q2765652)
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scientific article; zbMATH DE number 1694937
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superconvergence of finite element approximations to integro-differential equations of parabolic type |
scientific article; zbMATH DE number 1694937 |
Statements
15 November 2002
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superconvergence
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integro-differential equation
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finite element
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parabolic type
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ultraconvergence
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Superconvergence of finite element approximations to integro-differential equations of parabolic type (English)
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The author discusses the superconvergence and ultraconvergence for the finite element approximations to integro-differential equations of parabolic type in one dimensional case. It is shown that the Lobatto, Gauss and quasi-Lobatto points on each subdivision element are superconvergence points for the function and the order-one and order-two derivative approximations, respectively. Another important result is that the ultraconvergence alternating theorem is established under certain conditions.
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