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J. Xu and A. Zhou, Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations, 1998. Preprint.

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This paper is cited in the following contexts:
Some Local and Parallel Properties of Finite Element.. - Xu, Zhou   Self-citation (Xu Zhou)   (Correct)

....high frequency components can be computed on a fine grid by some local and parallel procedure. One major technical tool for the analysis is some sharp local a priori estimates for finite element solutions on general shape regular grids. This paper can be considered as a sequel of our earlier paper [XZ98] on a similar topic. While in [XZ98] we studied our methods for a rather general class of model partial differential equations, in this paper we focus our attention on a rather specific case, namely, Neumann boundary value problems on a smooth domain and as a result we obtain some better error ....

....on a fine grid by some local and parallel procedure. One major technical tool for the analysis is some sharp local a priori estimates for finite element solutions on general shape regular grids. This paper can be considered as a sequel of our earlier paper [XZ98] on a similar topic. While in [XZ98] we studied our methods for a rather general class of model partial differential equations, in this paper we focus our attention on a rather specific case, namely, Neumann boundary value problems on a smooth domain and as a result we obtain some better error estimates for higher order elements. 1 ....

[Article contains additional citation context not shown here]

Xu J. and Zhou A. (1998) Local and parallel finite element algorithms based on two-grid discretizations. Math. Comp. 68.


A New Paradigm for Parallel Adaptive Meshing Algorithms - Bank, Holst (1999)   (7 citations)  (Correct)

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J. Xu and A. Zhou, Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations, 1998. Preprint.


The Adaptive Multilevel Finite Element Solution of the .. - Baker, Sept, Holst.. (2000)   (Correct)

No context found.

Jinchao Xu and Aihui Zhou. Local and parallel finite element algorithms based on two-grid discretizations. Math. Comp., 69:881--909, 2000.


Applications of Domain Decomposition and Partition of Unity.. - Holst   (Correct)

No context found.

J. Xu and A. hui Zhou. Local and parallel finite element algorithms based on two-grid discretizations. Math. Comput., 69:881--909, 2000.


Generalized Green's Functions and the Effective Domain of.. - Estep, Holst, Larson (2002)   (Correct)

No context found.

J. Xu and A. Zhou, Local and parallel finite element algorithms based on two-grid discretizations, Math. Comput., 69 (2000), pp. 881--909.


A New Paradigm for Parallel Adaptive Meshing Algorithms - Bank, Holst (2003)   (7 citations)  (Correct)

No context found.

J. Xu and A. Zhou, Local and parallel finite element algorithms based on two-grid discretizations, Math. Comp., to appear.


Applications of Domain Decomposition and Partition of Unity.. - Holst (2003)   (Correct)

No context found.

J. Xu and A. hui Zhou. Local and parallel finite element algorithms based on two-grid discretizations. Math. Comput., 69:881--909, 2000.


The Adaptive Multilevel Finite Element Dolution of the .. - Baker, Sept, Holst.. (2001)   (Correct)

No context found.

Jinchao Xu and Aihui Zhou, "Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations," Math. Comp. 69, 881--909 (2000).

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