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Splitting extrapolation for solving second order elliptic systems with curved boundary in \({\mathfrak R}^d\) by using \(d\)-quadratic isoparametric finite element - MaRDI portal

Splitting extrapolation for solving second order elliptic systems with curved boundary in \({\mathfrak R}^d\) by using \(d\)-quadratic isoparametric finite element (Q1349125)

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scientific article; zbMATH DE number 1743053
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English
Splitting extrapolation for solving second order elliptic systems with curved boundary in \({\mathfrak R}^d\) by using \(d\)-quadratic isoparametric finite element
scientific article; zbMATH DE number 1743053

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    Splitting extrapolation for solving second order elliptic systems with curved boundary in \({\mathfrak R}^d\) by using \(d\)-quadratic isoparametric finite element (English)
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    21 May 2002
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    The authors develop a splitting extrapolation technique for solving second order elliptic systems with curved boundary using isoparametric finite elements. Using domain decomposition technique the problem is reduced to a multidimensional discrete problem with several grid parameters. Theorems and numerical experiments are presented for the theoretical establishment and its verification.
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    finite elements
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    parallel algorithm
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    domain decomposition
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    extrapolation
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    second order elliptic system
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    numerical experiments
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