Nonoverlapping domain decomposition preconditioners for discontinuous Galerkin approximations of Hamilton-Jacobi-Bellman equations
DOI10.1007/s10915-017-0428-5zbMath1385.65026arXiv1409.4202OpenAlexW2589767494MaRDI QIDQ1703054
Publication date: 1 March 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.4202
domain decompositionfinite element methodsHamilton-Jacobi-Bellman equationselliptic equationsdiscontinuous Galerkinapproximation in discontinuous spacesGEMRES methodpre-conditioners
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) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Hamilton-Jacobi equations (35F21) Preconditioners for iterative methods (65F08) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discontinuous Galerkin finite element methods for time-dependent Hamilton-Jacobi-Bellman equations with Cordes coefficients
- Two-level non-overlapping Schwarz preconditioners for a discontinuous Galerkin approximation of the biharmonic equation
- A class of domain decomposition preconditioners for \(hp\)-discontinuous Galerkin finite element methods
- Additive Schwarz methods for the \(p\)-version finite element method
- An iterative substructuring algorithm for a \(C^{0}\) interior penalty method
- Two-level additive Schwarz preconditioners for \(C^0\) interior penalty methods
- Discontinuous Galerkin Finite Element Approximation of Nondivergence Form Elliptic Equations with Cordès Coefficients
- Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
- Domain Decomposition Preconditioning for Discontinuous Galerkin Approximations of Convection-Diffusion Problems
- Multiplicative Schwarz Methods for Discontinuous Galerkin Approximations of Elliptic Problems
- Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case
- Finite Element Methods for Navier-Stokes Equations
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- The Adaptive Computation of Far-Field Patterns by A Posteriori Error Estimation of Linear Functionals
- Domain decomposition preconditioners of Neumann-Neumann type for hp-approximations on boundary layer meshes in three dimensions
- Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems
- Analysis of Preconditioners for Saddle-Point Problems
- An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems
- Preconditioning
- Discontinuous Galerkin Finite Element Approximation of Hamilton--Jacobi--Bellman Equations with Cordes Coefficients