A Robin-Robin preconditioner for an advection-diffusion problem

被引：14
|
作者：
Achdou, Y
Nataf, F
机构：
[1] INSA Rennes, Rennes, France
[2] Ecole Polytech, CMAP, CNRS, URA 756, F-91128 Palaiseau, France
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 325卷 / 11期
关键词：
D O I：
10.1016/S0764-4442(97)83556-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Neumann-Neumann method is used as a preconditioner in domain decomposition methods applied to symmetric problems. We generalize it to the case of nonsymmetric operators. The new preconditioner is based on solving boundary value problems with Robin boundary conditions. Its derivation at the continuous and discrete levels are given. Numerical results are shown for both conforming and nonconforming grids (mortar method).
引用
收藏
页码：1211 / 1216
页数：6
相关论文
共 50 条
  • [21] A Robin-Robin strongly coupled partitioned method for fluid-poroelastic structure interaction
    Parrow, Connor
    Bukac, Martina
    JOURNAL OF NUMERICAL MATHEMATICS, 2025,
  • [22] ANALYSIS AND OPTIMIZATION OF ROBIN-ROBIN PARTITIONED PROCEDURES IN FLUID-STRUCTURE INTERACTION PROBLEMS
    Gerardo-Giorda, Luca
    Nobile, Fabio
    Vergara, Christian
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 48 (06) : 2091 - 2116
  • [23] Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method
    Burman, Erik
    Durst, Rebecca
    Fernandez, Miguel A.
    Guzman, Johnny
    Liu, Sijing
    NUMERICAL ALGORITHMS, 2024,
  • [24] THE DIRICHLET PROBLEM OF A CONFORMABLE ADVECTION-DIFFUSION EQUATION
    Avci, Derya aeae
    Eroglu, Beyza Billur Iskender
    Ozdemir, Necati
    THERMAL SCIENCE, 2017, 21 (01): : 9 - 18
  • [25] A hybrid semi-Lagrangian cut cell method for advection-diffusion problems with Robin boundary conditions in moving domains
    Barrett, Aaron
    Fogelson, Aaron L.
    Griffith, Boyce E.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 449
  • [26] SOLVING AN ADVECTION-DIFFUSION PROBLEM ON THE CONNECTION MACHINE
    BERGGREN, M
    CONCURRENCY-PRACTICE AND EXPERIENCE, 1994, 6 (01): : 55 - 68
  • [27] DMLPG solution of the fractional advection-diffusion problem
    Ramezani, M.
    Mojtabaei, M.
    Mirzaei, D.
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2015, 59 : 36 - 42
  • [28] Controllability and observability of an artificial advection-diffusion problem
    Cornilleau, Pierre
    Guerrero, Sergio
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2012, 24 (03) : 265 - 294
  • [29] Analyses of numerical methods for the advection-diffusion problem
    Sangalli, G
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2003, 6A (02): : 319 - 321
  • [30] On the Choice of Interface Parameters in Robin-Robin Loosely Coupled Schemes for Fluid-Structure Interaction
    Gigante, Giacomo
    Vergara, Christian
    FLUIDS, 2021, 6 (06)
12345