A Simple Uniformly Convergent Iterative Method for the Non-symmetric Incomplete Interior Penalty Discontinuous Galerkin Discretization
DOI10.1007/978-3-642-11304-8_38zbMath1217.65208OpenAlexW173103356MaRDI QIDQ2998438
Ludmil T. Zikatanov, Blanca Ayuso
Publication date: 18 May 2011
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-11304-8_38
convergencenumerical examplesiterative methoddiscontinuous Galerkin methodsecond-order elliptic problemblock Gauss-Seidel matrixincomplete interior penalty Galerkin (IIPG) linear approximation
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)
Cites Work
- Uniformly convergent iterative methods for discontinuous Galerkin discretizations
- Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements
- Stabilization mechanisms in discontinuous Galerkin finite element methods
- BDDC methods for discontinuous Galerkin discretization of elliptic problems
- Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
- Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case
- An Application of the Abstract Multilevel Theory to Nonconforming Finite Element Methods
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media
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