Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D

Bernd Flemisch; Barbara I. Wohlmuth

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Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D

机译：用于3D曲面界面四边形网格的稳定Lagrange乘数

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For the discretization of coupled problems by means of mortar finite elements, the choice of the discrete Lagrange multiplier space is of crucial importance for the performance of the resulting numerical scheme. Dual Lagrange multipliers offer several advantages since they can be locally eliminated. In this paper, the lowest order dual Lagrange multipliers are extended to arbitrary quadrilateral or triangular surface grids. In a first step, two alternatives are provided for the case of planar interfaces. For the approximation of vector fields, two more modifications are given for use on curvilinear interfaces. A priori results are obtained and several numerical examples are shown.

机译：对于用研钵有限元离散耦合问题，离散Lagrange乘子空间的选择对于所得数值方案的性能至关重要。双Lagrange乘法器具有多个优点，因为它们可以在本地消除。在本文中，最低阶对偶拉格朗日乘数被扩展到任意四边形或三角形表面网格。在第一步中，针对平面界面的情况提供了两种选择。对于矢量场的逼近，给出了两个更多的修改以用于曲线界面。获得先验结果，并显示了几个数值示例。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2007年第8期|p.1589-1602|共14页
作者
Bernd Flemisch; Barbara I. Wohlmuth;
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作者单位

Universitaet Stuttgart, Institut fuer Angewandte Analysis und Numerische Simulation, Pfaffenwaldring 57, D-70569 Stuttgart, Germany;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
domain decomposition; dual lagrange multiplier; curvilinear interface; hexahedral mesh;

机译：域分解;双重拉格朗日乘数;曲线界面;六面体网格;

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1. SGBEM with lagrange multipliers applied to elastic domain decomposition problems with curved interfaces using non-matching meshes [J] . Vodi?ka R., Manti? V., París F. International Journal for Numerical Methods in Engineering . 2010,第1期

机译：带有拉格朗日乘数的SGBEM用于使用非匹配网格的弯曲界面的弹性域分解问题
2. A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes [J] . Hansbo P, Lovadina C, Perugia I, Numerische Mathematik . 2005,第1期

机译：非匹配网格的椭圆界面问题有限元解的拉格朗日乘数法
3. A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes [J] . Peter Hansbo, Carlo Lovadina, Ilaria Perugia, Numerische Mathematik . 2005,第1期

机译：非匹配网格的椭圆界面问题有限元解的拉格朗日乘数法
4. A LAGRANGE MULTIPLIER METHOD FOR ELLIPTIC INTERFACE PROBLEMS USING NON-MATCHING MESHES [C] . P. HANSBO, C. LOVADINA, I. PERUGIA, Italian Society for Applied and Industrial Mathematics Conference . 2005

机译：使用非匹配网格的椭圆界面问题拉格朗日乘法方法
5. A Parallel High-Order Solver for Linear Elasticity Problems Using A Weak Galerkin Finite Element Method on Unstructured Quadrilateral Meshes [D] . Li, Yunze 2019

机译：非结构四边形网格上使用弱Galerkin有限元方法的线性弹性问题并行高阶求解器
6. Projection-based stabilization of interface Lagrange multipliers in immersogeometric fluid–thin structure interaction analysis with application to heart valve modeling [O] . David Kamensky, John A. Evans, Ming-Chen Hsu, -1

机译：拉格朗日乘子的基于投影的稳定化在沉浸几何流体薄结构相互作用分析中的应用及其在心脏瓣膜建模中的应用
7. Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D [O] . Bernd Flemisch, Barbara Wohlmuth, Barbara, 2015

机译：三维曲面界面四边形网格的稳定拉格朗日乘子

Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D

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