A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media
DOI10.1016/j.apnum.2021.11.012zbMath1491.65152arXiv2111.11085OpenAlexW3216216201MaRDI QIDQ2073946
Alessandro Veneziani, Alex Viguerie, Ferdinando Auricchio, Silvia Bertoluzza
Publication date: 3 February 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.11085
domain decompositionfinite element methodsmultiscale methodsnumerical PDEsthermal problemsmultimesh methods
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local enrichment of the finite cell method for problems with material interfaces
- Isogeometric Schwarz preconditioners for linear elasticity systems
- Analysis of the fully discrete fat boundary method
- Adaptive remeshing and \(h-p\) domain decomposition
- Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity
- Mathematical foundations of the immersed finite element method
- Fictitious domain approach with \(hp\)-finite element approximation for incompressible fluid flow
- Applying the \(hp-d\) version of the FEM to locally enhance dimensionally reduced models
- Numerical analysis of blood flow in the heart
- The partition of unity finite element method: basic theory and applications
- A fat boundary method for the Poisson problem in a domain with holes
- An interface-fitted mesh generator and virtual element methods for elliptic interface problems
- A hierarchical computational model for moving thermal loads and phase changes with applications to selective laser melting
- A fictitious domain method for Dirichlet problem and applications
- An optimization based domain decomposition method for partial differential equations
- Numerical simulation of laser fusion additive manufacturing processes using the SPH method
- Suitably graded THB-spline refinement and coarsening: towards an adaptive isogeometric analysis of additive manufacturing processes
- Curvilinear virtual elements for contact mechanics
- A Fat boundary-type method for localized nonhomogeneous material problems
- The multi-level \(hp\)-method for three-dimensional problems: dynamically changing high-order mesh refinement with arbitrary hanging nodes
- On a fictitious domain method with distributed Lagrange multiplier for interface problems
- Stable generalized finite element method and associated iterative schemes; application to interface problems
- The method of mothers for non-overlapping non-matching DDM
- A fictitious domain approach with spread interface for elliptic problems with general boundary conditions
- Thermomechanical finite element simulations of selective electron beam melting processes: performance considerations
- The nonconforming virtual element method
- The hp-d -adaptive finite cell method for geometrically nonlinear problems of solid mechanics
- Overlapping Schwarz Methods for Isogeometric Analysis
- Robust BDDC Preconditioners for Reissner–Mindlin Plate Bending Problems and MITC Elements
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- The Hitchhiker's Guide to the Virtual Element Method
- Hybridized CutFEM for Elliptic Interface Problems
- A distributed Lagrange multiplier/fictitious domain method for particulate flows
- A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
- Solution of elliptic partial differential equations by an optimization-based domain decomposition method
This page was built for publication: A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media
