Preconditioned nonsymmetric/symmetric discontinuous Galerkin method for elliptic problem with reconstructed discontinuous approximation
DOI10.1007/S10915-024-02639-6zbMATH Open1547.6518MaRDI QIDQ6608070
Fanyi Yang, Ruo Li, Qicheng Liu
Publication date: 19 September 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
preconditioningdiscontinuous Galerkin methodleast squares fittingreconstructed discontinuous approximationsymmetric/nonsymmetric interior penalty method
Numerical optimization and variational techniques (65K10) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Preconditioners for iterative methods (65F08)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains
- A uniform additive Schwarz preconditioner for high-order discontinuous Galerkin approximations of elliptic problems
- Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes
- A class of domain decomposition preconditioners for \(hp\)-discontinuous Galerkin finite element methods
- Smoothed aggregation multigrid solvers for high-order discontinuous Galerkin methods for elliptic problems
- A multilevel discontinuous Galerkin method
- Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes
- A least squares method for linear elasticity using a patch reconstructed space
- An arbitrary-order discontinuous Galerkin method with one unknown per element
- Estimation of penalty parameters for symmetric interior penalty Galerkin methods
- BDDC methods for discontinuous Galerkin discretization of elliptic problems
- The mimetic finite difference method for elliptic problems
- A reconstructed discontinuous approximation on unfitted meshes to \(H(\mathrm{curl})\) and \(H(\mathrm{div})\) interface problems
- An efficient high order heterogeneous multiscale method for elliptic problems
- Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case
- Two‐level preconditioning of discontinuous Galerkin approximations of second‐order elliptic equations
- A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method
- An Interior Penalty Finite Element Method with Discontinuous Elements
- A Preconditioned GMRES Method for Nonsymmetric or Indefinite Problems
- Iterative Methods by Space Decomposition and Subspace Correction
- Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Low-Order Preconditioning of High-Order Triangular Finite Elements
- Algebraic multigrid methods
- Two-level additive Schwarz methods for discontinuous Galerkin approximations of second-order elliptic problems
- Performance of Discontinuous Galerkin Methods for Elliptic PDEs
- Algebraic Multigrid Schemes for High-Order Nodal Discontinuous Galerkin Methods
- A Discontinuous Galerkin Method by Patch Reconstruction for Elliptic Interface Problem on Unfitted Mesh
- Efficient Low-Order Refined Preconditioners for High-Order Matrix-Free Continuous and Discontinuous Galerkin Methods
- A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem
- Solving Eigenvalue Problems in a Discontinuous Approximation Space by Patch Reconstruction
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
- Low-Order Preconditioning for the High-Order Finite Element de Rham Complex
This page was built for publication: Preconditioned nonsymmetric/symmetric discontinuous Galerkin method for elliptic problem with reconstructed discontinuous approximation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6608070)
