An additive Schwarz preconditioner for the mortar-type rotated \(Q_1\) FEM for elliptic problems with discontinuous coefficients

DOI10.1016/j.apnum.2008.11.006zbMath1162.65408OpenAlexW1996898101MaRDI QIDQ1021632

Wei Xu, Zhilin Li, Feng Wang, Jinru Chen

Publication date: 8 June 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.11.006

zbMATH Keywords

domain decompositionadditive Schwarz methodrotated \(Q_1\) elementmortar finite element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Mixed mortar element method for \(P^{NC}_1/P_0\) element and its multigrid method for the incompressible Stokes problem ⋮ A BDDC algorithm for the mortar-type rotated \(Q_1\) FEM for elliptic problems with discontinuous coefficients

Uses Software

• IIMPACK

Cites Work

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• The mortar element method with locally nonconforming elements
• 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 streamline-diffusion method for nonconforming Qrot1 elements on rectangular tensor-product meshes
• Simple nonconforming quadrilateral Stokes element
• Some Nonoverlapping Domain Decomposition Methods
• Mortar Finite Element Methods for Discontinuous Coefficients
• Quasi-Optimal Schwarz Methods for the Conforming Spectral Element Discretization
• Poincaré--Friedrichs Inequalities for Piecewise H¹ Functions
• NONCONFORMING ROTATED ${\mathcal Q}_1$ ELEMENT FOR REISSNER–MINDLIN PLATE
• Schwarz methods of neumann‐neumann type for three‐dimensional elliptic finite element problems
• On the Implementation of Mixed Methods as Nonconforming Methods for Second- Order Elliptic Problems
• Analysis of a class of nonconforming finite elements for crystalline microstructures
• The Immersed Interface Method
• Equivalent Norms for Sobolev Spaces
• Multigrid for the mortar element method for P1 nonconforming element

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