A high order composite scheme for the second order elliptic problem with nonlocal boundary and its fast algorithm

The elliptic problem with nonlocal boundary condition is widely applied in the field of science and engineering. Firstly, we construct a linear finite element scheme for the nonlocal boundary problem, and derive the optimal L2 error estimate. Then, based on the quadratic finite element and the extra...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 227; pp. 212 - 221
Main Authors:	Nie, Cunyun, Shu, Shi, Yu, Haiyuan, An, Qianjiang
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15.01.2014
Subjects:	Algebraic multigrid method Algorithms An upper triangular preconditioner Boundaries Design engineering Discrete systems Extrapolation Finite element method Mathematical analysis Optimization The elliptic problem with nonlocal boundary condition The finite element method The elliptic problem with nonlocal boundary condition An upper triangular preconditioner Algebraic multigrid method The finite element method
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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