Two-level Schwarz methods for a discontinuous Galerkin approximation of elliptic problems with jump coefficients
From MaRDI portal
Publication:777036
DOI10.1007/s10915-020-01257-2zbMath1473.65341OpenAlexW3039914911MaRDI QIDQ777036
Publication date: 13 July 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01257-2
discontinuous Galerkin methodelliptic problemsDirichlet-to-Neumann mapscoarse spacehighly heterogeneous coefficientstwo-level additive Schwarz method
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) Preconditioners for iterative methods (65F08)
Related Items (2)
A two-grid mixed finite element method of a phase field model for two-phase incompressible flows ⋮ A parallel multilevel domain decomposition method for source identification problems governed by elliptic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps
- A class of domain decomposition preconditioners for \(hp\)-discontinuous Galerkin finite element methods
- The analysis of a FETI-DP preconditioner for a full DG discretization of elliptic problems in two dimensions
- Domain decomposition methods for the numerical solution of partial differential equations
- On the constants in \(hp\)-finite element trace inverse inequalities.
- Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems
- BDDC and FETI-DP preconditioners with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients
- Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions
- Domain decomposition for multiscale PDEs
- Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps
- Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps
- Additive Schwarz with aggregation-based coarsening for elliptic problems with highly variable coefficients
- BDDC methods for discontinuous Galerkin discretization of elliptic problems
- A massively parallel nonoverlapping additive Schwarz method for discontinuous Galerkin discretization of elliptic problems
- Adaptive Coarse Spaces for FETI-DP in Three Dimensions
- Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps
- Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms
- Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids
- FETI-DP Methods with an Adaptive Coarse Space
- Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media
- Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces
- A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps
- An Introduction to Domain Decomposition Methods
- Multiplicative Schwarz Methods for Discontinuous Galerkin Approximations of Elliptic Problems
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- An Overlapping Schwarz Algorithm for Almost Incompressible Elasticity
- Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case
- Scaling up through domain decomposition
- Domain Decomposition Algorithms with Small Overlap
- Raytcho Lazarov - 60
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods
- BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields
- Isogeometric Analysis
- A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
- A FETI-DP Preconditioner for a Composite Finite Element and Discontinuous Galerkin Method
- Weighted Poincare inequalities
- A BDDC Algorithm with Enriched Coarse Spaces for Two-Dimensional Elliptic Problems with Oscillatory and High Contrast Coefficients
- A Study of the Effects of Irregular Subdomain Boundaries on Some Domain Decomposition Algorithms
- Robust Multilevel Methods for General Symmetric Positive Definite Operators
- On a Parallel Robin‐Type Nonoverlapping Domain Decomposition Method
This page was built for publication: Two-level Schwarz methods for a discontinuous Galerkin approximation of elliptic problems with jump coefficients
