A Schwarz auditive method with high order interface conditions and nonoverlapping subdomains

Frédéric Nataf

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1998)

  • Volume: 32, Issue: 1, page 107-116
  • ISSN: 0764-583X

How to cite

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Nataf, Frédéric. "A Schwarz auditive method with high order interface conditions and nonoverlapping subdomains." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 32.1 (1998): 107-116. <http://eudml.org/doc/193863>.

@article{Nataf1998,
author = {Nataf, Frédéric},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {additive Schwarz method; high-order interface conditions; nonoverlapping subdomains; heat equation; convergence; interface operator},
language = {eng},
number = {1},
pages = {107-116},
publisher = {Dunod},
title = {A Schwarz auditive method with high order interface conditions and nonoverlapping subdomains},
url = {http://eudml.org/doc/193863},
volume = {32},
year = {1998},
}

TY - JOUR
AU - Nataf, Frédéric
TI - A Schwarz auditive method with high order interface conditions and nonoverlapping subdomains
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1998
PB - Dunod
VL - 32
IS - 1
SP - 107
EP - 116
LA - eng
KW - additive Schwarz method; high-order interface conditions; nonoverlapping subdomains; heat equation; convergence; interface operator
UR - http://eudml.org/doc/193863
ER -

References

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  2. [2] B. ENGQUIST and A. MAJDA, Absorbing Boundary Conditions for the Numerical Simulation of Waves, Math. Comp. 31 (139), (1977), 629-651. Zbl0367.65051MR436612
  3. [3] P. GRISVARD, Singularities in Boundary Value Problems, RMA 22, Masson & Springer Verlag (1992). Zbl0766.35001MR1173209
  4. [4] T. HAGSTROM, R. P. TEWARSON and A. JAZCILEVICH, Numerical Experiments on a Domain Decomposition Algorithm for Nonlinear Elliptic Boundary Value Problems, Appl. Math. Lett, 1, No 3 (1988), 299-302. Zbl0656.65097MR963704
  5. [5] K. LEMRABET, Problèmes aux limites de Ventcel dans un domaine non régulier, C.R. Acad. Sc. Paris, t. 300, Série I, n° 15, (1985), 531-534. Zbl0601.35024MR792383
  6. [6] J. L. LIONS and E. MAGENES, Problèmes aux limites non homogènes et applications, vol. 1, Dunod, Paris, (1968). Zbl0165.10801MR247243
  7. [7] P. L. LIONS, On the Schwarz Altemating Method III: A Variant for Nonoverlapping Subdomains, Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, SIAM (1989), 202-223. Zbl0704.65090MR1064345
  8. [8] F. NATAF and F. ROGIER, Outflow Boundary Conditions and Domain Decomposition Method, Cont. math. 180,"Proceedings of the Seventh International Conference on Domain Décomposition", (1993), 289-293. Zbl0817.65077MR1312404
  9. [9] F. NATAF, F. ROGIER and E. de STURLER, Domain Decomposition Methods for Fluid Dynamics, Navier-Stokes Equations and Related Nonlinear Analysis, Edited by A. Sequeira, Plenum Press Corporation, (1995), 367-376. Zbl0861.76070MR1373229
  10. [10] F. NATAF and F. ROGIER, Factorization of the Convection-Diffusion Operator and the Schwarz Algorithm, M3AS, 5, No 1, (1995), 67-93. Zbl0826.65102MR1314997

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