A conforming finite element method for overlapping and nonmatching grids

DOI10.1090/S0025-5718-02-01459-XzbMath1019.65090OpenAlexW1974690425MaRDI QIDQ4806378

Yunqing Huang, Jin-Chao Xu

Publication date: 14 May 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-02-01459-x

zbMATH Keywords

overlappingerror estimatesdomain decompositionfinite elementpartition of unitymortar elementnonmatching grid

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (16)

A parallel partition of unity scheme based on two-grid discretizations for the Navier-Stokes problem ⋮ Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow ⋮ New local and parallel finite element algorithm based on the partition of unity ⋮ APPROXIMATE AND LOW REGULARITY DIRICHLET BOUNDARY CONDITIONS IN THE GENERALIZED FINITE ELEMENT METHOD ⋮ Local and parallel finite element algorithm based on the partition of unity for incompressible flows ⋮ A note on the conditioning of a class of generalized finite element methods ⋮ A parallel partition of unity method for the time-dependent convection-diffusion equations ⋮ Analysis of parallel finite element algorithm based on three linearization methods for the steady incompressible MHD flow ⋮ Generalized finite element method for second-order elliptic operators with Dirichlet boundary conditions ⋮ Two-grid partition of unity method for second order elliptic problems ⋮ Partition of unity refinement for local approximation ⋮ Local and parallel finite element algorithm based on Oseen-type iteration for the stationary incompressible MHD flow ⋮ Analysis of Local and Parallel Algorithm for Incompressible Magnetohydrodynamics Flows by Finite Element Iterative Method ⋮ Optimal Order FEM for a Coupled Eigenvalue Problem on 2D Overlapping Domains ⋮ A partition of unity approach to fluid mechanics and fluid-structure interaction ⋮ A new family of high regularity elements

Uses Software

• Overture
• CMPGRD

Cites Work

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• Composite mesh difference methods for elliptic boundary value problems
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• Meshless methods: An overview and recent developments
• The partition of unity finite element method: basic theory and applications
• The mortar finite element method with Lagrange multipliers
• The partition of unity method for the elastically supported beam
• Nonreflecting time-dependent boundary conditions on artificial boundaries of varying location and shape
• The mortar element method for three dimensional finite elements
• Iterative Methods by Space Decomposition and Subspace Correction
• Overlapping Nonmatching Grid Mortar Element Methods for Elliptic Problems
• THE PARTITION OF UNITY METHOD
• Reproducing kernel particle methods for structural dynamics
• Efficient iterative solvers for elliptic finite element problems on nonmatching grids
• Discretization methods and iterative solvers based on domain decomposition

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