A Unified Mortar Condition for Nonconforming Finite Elements

Chunmei Wang; Shangyou Zhang; Jinru Chen

doi:10.1007/s10915-014-9852-y

A Unified Mortar Condition for Nonconforming Finite Elements

Chunmei Wang, Shangyou Zhang, Jinru Chen

Mathematics and Statistics

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

2 Scopus citations

Abstract

A continuously interpolated mortar condition is proposed for 2D and 3D (Formula presented.) nonconforming finite elements on nonmatching grids. The resulting finite element method is an optimal order one in solving elliptic equations. Numerical tests on the 2D (Formula presented.) and 3D (Formula presented.) nonconforming finite elements are provided.

Original language	English
Pages (from-to)	179-197
Number of pages	19
Journal	Journal of Scientific Computing
Volume	62
Issue number	1
DOIs	https://doi.org/10.1007/s10915-014-9852-y
State	Published - Jan 1 2015

Keywords

Continuously interpolated mortar condition
Interface coupling
Mass-preserving interpolation
Nonconforming element
Nonmatching grid

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10.1007/s10915-014-9852-y

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title = "A Unified Mortar Condition for Nonconforming Finite Elements",

abstract = "A continuously interpolated mortar condition is proposed for 2D and 3D (Formula presented.) nonconforming finite elements on nonmatching grids. The resulting finite element method is an optimal order one in solving elliptic equations. Numerical tests on the 2D (Formula presented.) and 3D (Formula presented.) nonconforming finite elements are provided.",

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AU - Zhang, Shangyou

AU - Chen, Jinru

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N2 - A continuously interpolated mortar condition is proposed for 2D and 3D (Formula presented.) nonconforming finite elements on nonmatching grids. The resulting finite element method is an optimal order one in solving elliptic equations. Numerical tests on the 2D (Formula presented.) and 3D (Formula presented.) nonconforming finite elements are provided.

AB - A continuously interpolated mortar condition is proposed for 2D and 3D (Formula presented.) nonconforming finite elements on nonmatching grids. The resulting finite element method is an optimal order one in solving elliptic equations. Numerical tests on the 2D (Formula presented.) and 3D (Formula presented.) nonconforming finite elements are provided.

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KW - Interface coupling

KW - Mass-preserving interpolation

KW - Nonconforming element

KW - Nonmatching grid

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A Unified Mortar Condition for Nonconforming Finite Elements

Abstract

Keywords

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