Substructuring preconditioners forh−pMortar FEM
DOI10.1051/m2an/2015065zbMath1350.65116OpenAlexW2283733296MaRDI QIDQ2820343
Abdoulaye Samaké, Christophe Prud'homme, Silvia Bertoluzza, Micol Pennacchio
Publication date: 15 September 2016
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2015065
numerical experimentscondition numberdomain decomposition methodspreconditionerelliptic problemmortar method\(h\)-\(p\) finite element methoditerative substructuringdiscontinuous Galerkin interior penalty method
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Preconditioners for iterative methods (65F08)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Substructuring preconditioners for an \(h\)-\(p\) domain decomposition method with interior penalty mortaring
- Analysis of some injection bounds for Sobolev spaces by wavelet decomposition
- Substructuring preconditioners for mortar discretization of a degenerate evolution problem
- A FETI-DP preconditioner for mortar methods in three dimensions
- A capacitance matrix method for Dirichlet problem on polygon region
- The mortar finite element method for the cardiac ``bidomain model of extracellular potential
- The condition number of the Schur complement in domain decomposition
- Resolution of fourth-order problems by the mortar element method
- A preconditioner for the \(h\)-\(p\) version of the finite element method in two dimensions
- Preconditioning the Mortar Method by Substructuring: The High Order Case.
- Feel++ : A computational framework for Galerkin Methods and Advanced Numerical Methods
- Iterative Substructuring Preconditioners for Mortar Element Methods in Two Dimensions
- Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties
- Substructuring preconditioners for the three fields domain decomposition method
- Optimal convergence rates ofhpmortar finite element methods for second-order elliptic problems
- The Mortar Finite Element Method for 3D Maxwell Equations: First Results
- The Construction of Preconditioners for Elliptic Problems by Substructuring. I
- Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
- A Fast Solver for Navier–Stokes Equations in the Laminar Regime Using Mortar Finite Element and Boundary Element Methods
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Uniform $hp$ convergence results for the mortar finite element method
- A BDDC Method for Mortar Discretizations Using a Transformation of Basis
- Spectral Methods
- A FETI-DP Preconditioner with A Special Scaling for Mortar Discretization of Elliptic Problems with Discontinuous Coefficients
- A Preconditioner for the FETI-DP Formulation with Mortar Methods in Two Dimensions
- Two‐Level Schwarz Algorithms with Overlapping Subregions for Mortar Finite Elements
- Discretization methods and iterative solvers based on domain decomposition
- The role of the inner product in stopping criteria for conjugate gradient iterations
This page was built for publication: Substructuring preconditioners forh−pMortar FEM
