Two-level additive Schwarz methods for discontinuous Galerkin approximations of the biharmonic equation
DOI10.1007/s10915-017-0453-4zbMath1385.65063OpenAlexW2615966247MaRDI QIDQ1703072
Publication date: 1 March 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0453-4
domain decompositionnumerical experimentsSchwarz methodsbiharmonic equationdiscontinuous Galerkin methodspreconditioner
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Higher-order elliptic equations (35J30) Preconditioners for iterative methods (65F08)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
- Two-level non-overlapping Schwarz preconditioners for a discontinuous Galerkin approximation of the biharmonic equation
- A weakly over-penalized symmetric interior penalty method for the biharmonic problem
- A weakly over-penalized symmetric interior penalty method
- \(hp\)-version interior penalty DGFEMs for the biharmonic equation
- Two-level additive Schwarz preconditioners for \(C^0\) interior penalty methods
- An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems
- Direct Methods for Sparse Linear Systems
- A family of $C^1$ finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Mixed and Hybrid Finite Element Methods
- Iterative Methods by Space Decomposition and Subspace Correction
- Finite Element Methods for Elliptic Equations Using Nonconforming Elements
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- The method of alternating projections and the method of subspace corrections in Hilbert space
- A Nonconforming Finite Element Method for the Stationary Navier--Stokes Equations
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems
- Two-level additive Schwarz methods for discontinuous Galerkin approximations of second-order elliptic problems
- Two-Level Schwarz Methods for the Biharmonic Problem Discretized Conforming $C^1 $ Elements
- Two-level additive Schwarz preconditioners for nonconforming finite element methods
- Discontinuous Galerkin methods for the biharmonic problem
- Optimal Solvers for Fourth-Order PDEs Discretized on Unstructured Grids
- The Mathematical Theory of Finite Element Methods
- Discontinuous Galerkin Finite Element Approximation of Hamilton--Jacobi--Bellman Equations with Cordes Coefficients
This page was built for publication: Two-level additive Schwarz methods for discontinuous Galerkin approximations of the biharmonic equation