Neumann-Neumann algorithms for a mortar Crouzeix-Raviart element for 2nd order elliptic problems
DOI10.1007/s10543-008-0167-yzbMath1180.65164OpenAlexW2159148417MaRDI QIDQ960037
Talal Rahman, Leszek Marcinkowski
Publication date: 16 December 2008
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-008-0167-y
convergencesecond order elliptic problemsCrouzeix-Raviart finite elementNeumann-Neumann algorithmsnonconforming \(P_1\) finite element
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
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- On a hierarchical basis multilevel method with nonconforming P1 elements
- Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements
- Additive Schwarz methods for elliptic mortar finite element problems
- A Neumann-Neumann algorithm for a mortar discretization of elliptic problems with discontinuous coefficients
- The condition number of the Schur complement in domain decomposition
- The mortar element method with locally nonconforming elements
- The mortar finite element method with Lagrange multipliers
- Additive Schwarz method for mortar discretization of elliptic problems with \(P_{1}\) nonconforming finite elements
- Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients
- The mortar element method for three dimensional finite elements
- Multigrid Methods for Nonconforming Finite Element Methods
- The Crouzeix–Raviart FE on Nonmatching Grids with an Approximate Mortar Condition
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- A Multigrid Algorithm for the Lowest-Order Raviart–Thomas Mixed Triangular Finite Element Method
- Iterative Substructuring Preconditioners for Mortar Element Methods in Two Dimensions
- Coupling Spectral and Finite Elements for Second Order Elliptic Three-Dimensional Equations
- An Application of the Abstract Multilevel Theory to Nonconforming Finite Element Methods
- A finite element method on composite grids based on Nitsche's method
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
- A Multigrid Algorithm for the Mortar Finite Element Method
- Domain decomposition algorithms for mixed methods for second-order elliptic problems
- Two-level additive Schwarz preconditioners for nonconforming finite element methods
- Maximum principle and convergence analysis for the meshfree point collocation method
- Multigrid for the mortar element method for P1 nonconforming element
- Crouzeix-Raviart type finite elements on anisotropic meshes