Method of asymptotic partial decomposition with discontinuous junctions
DOI10.1016/j.camwa.2021.11.017OpenAlexW3214849095MaRDI QIDQ825504
Marie-Claude Viallon, Gregory P. Panasenko
Publication date: 17 December 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.11.017
heat equationasymptotic expansiondimension reductioninterfacemethod of asymptotic partial decomposition of the domain
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modeling dimensionally-heterogeneous problems: Analysis, approximation and applications
- A unified variational approach for coupling 3D-1D models and its blood flow applications
- Asymptotic analysis of the fluid flow with a pressure-dependent viscosity in a system of thin pipes
- ADI scheme for partially dimension reduced heat conduction models
- Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. I: The case without boundary-layer-in-time
- Finite volume implementation of the method of asymptotic partial domain decomposition for the heat equation on a thin structure
- Error estimate in a finite volume approximation of the partial asymptotic domain decomposition
- On discrete functional inequalities for some finite volume schemes
- On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1
- METHOD OF ASYMPTOTIC PARTIAL DECOMPOSITION OF DOMAIN
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Error estimate for a finite volume scheme in a geometrical multi-scale domain
- On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels