A two-grid discretization method for decoupling systems of partial differential equations

Jicheng Jin; Shi Shu; Jinchao Xu

doi:10.1090/S0025-5718-06-01869-2

A two-grid discretization method for decoupling systems of partial differential equations

Jicheng Jin, Shi Shu, Jinchao Xu

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

In this paper, we propose a two-grid finite element method for solving coupled partial differential equations, e.g., the Schrödinger-type equation. With this method, the solution of the coupled equations on a fine grid is reduced to the solution of coupled equations on a much coarser grid together with the solution of decoupled equations on the fine grid. It is shown, both theoretically and numerically, that the resulting solution still achieves asymptotically optimal accuracy. © 2006 American Mathematical Society.

Original language	English (US)
Pages (from-to)	1617-1626
Number of pages	10
Journal	Mathematics of Computation
Volume	75
Issue number	256
DOIs	https://doi.org/10.1090/S0025-5718-06-01869-2
State	Published - Oct 1 2006
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-06-01869-2

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AU - Shu, Shi

AU - Xu, Jinchao

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PY - 2006/10/1

Y1 - 2006/10/1

N2 - In this paper, we propose a two-grid finite element method for solving coupled partial differential equations, e.g., the Schrödinger-type equation. With this method, the solution of the coupled equations on a fine grid is reduced to the solution of coupled equations on a much coarser grid together with the solution of decoupled equations on the fine grid. It is shown, both theoretically and numerically, that the resulting solution still achieves asymptotically optimal accuracy. © 2006 American Mathematical Society.

AB - In this paper, we propose a two-grid finite element method for solving coupled partial differential equations, e.g., the Schrödinger-type equation. With this method, the solution of the coupled equations on a fine grid is reduced to the solution of coupled equations on a much coarser grid together with the solution of decoupled equations on the fine grid. It is shown, both theoretically and numerically, that the resulting solution still achieves asymptotically optimal accuracy. © 2006 American Mathematical Society.

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JF - Mathematics of Computation

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ER -

A two-grid discretization method for decoupling systems of partial differential equations

Abstract

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ASJC Scopus subject areas

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