Domain Decomposition Solution of Elliptic Boundary-Value Problems via Monte Carlo and Quasi-Monte Carlo Methods

Juan A. Acebrón; Maria Pia Busico; Piero Lanucara; Renato Spigler

doi:10.1137/030600692

Domain Decomposition Solution of Elliptic Boundary-Value Problems via Monte Carlo and Quasi-Monte Carlo Methods

SIAM Journal on Scientific Computing ◽

10.1137/030600692 ◽

2005 ◽

Vol 27 (2) ◽

pp. 440-457 ◽

Cited By ~ 29

Author(s):

Juan A. Acebrón ◽

Maria Pia Busico ◽

Piero Lanucara ◽

Renato Spigler

Keyword(s):

Monte Carlo ◽

Domain Decomposition ◽

Boundary Value Problems ◽

Monte Carlo Methods ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Quasi Monte Carlo

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A Quasi-Monte Carlo Method for Elliptic Boundary Value Problems

Monte Carlo Methods and Applications ◽

10.1515/mcma.2001.7.3-4.283 ◽

2001 ◽

Vol 7 (3-4) ◽

Cited By ~ 2

Author(s):

Michael Mascagni ◽

Aneta Karaivanova ◽

Yaohang Li

Keyword(s):

Monte Carlo ◽

Monte Carlo Method ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Quasi Monte Carlo

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Domain decomposition techniques for the parallel solution of nonsymmetric systems of elliptic boundary value problems

Applied Numerical Mathematics ◽

10.1016/0168-9274(90)90021-7 ◽

1990 ◽

Vol 6 (4) ◽

pp. 281-301 ◽

Cited By ~ 3

Author(s):

David E. Keyes ◽

William D. Gropp

Keyword(s):

Domain Decomposition ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Decomposition Techniques ◽

Elliptic Boundary Value ◽

Parallel Solution ◽

Nonsymmetric Systems

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On Schwarz's domain decomposition methods for elliptic boundary value problems

Numerische Mathematik ◽

10.1007/s002110050006 ◽

2000 ◽

Vol 84 (3) ◽

pp. 475-495 ◽

Cited By ~ 1

Author(s):

Ming-Jun Lai ◽

Paul Wenston

Keyword(s):

Domain Decomposition ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Decomposition Methods ◽

Elliptic Boundary Value Problems ◽

Domain Decomposition Methods ◽

Elliptic Boundary Value

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Numerical experiments on a domain decomposition algorithm for nonlinear elliptic boundary value problems

Applied Mathematics Letters ◽

10.1016/0893-9659(88)90097-3 ◽

1988 ◽

Vol 1 (3) ◽

pp. 299-302 ◽

Cited By ~ 31

Author(s):

Thomas Hagstrom ◽

R.P. Tewarson ◽

Aron Jazcilevich

Keyword(s):

Domain Decomposition ◽

Boundary Value Problems ◽

Numerical Experiments ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary ◽

Domain Decomposition Algorithm

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A New Class of Grid-Free Monte Carlo Algorithms for Elliptic Boundary Value Problems

Numerical Methods and Applications - Lecture Notes in Computer Science ◽

10.1007/3-540-36487-0_14 ◽

2003 ◽

pp. 132-139 ◽

Cited By ~ 1

Author(s):

R.J. Papancheva ◽

I. T. Dimov ◽

T. V. Gurov

Keyword(s):

Monte Carlo ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

New Class ◽

Monte Carlo Algorithms

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A Grid Free Monte Carlo Algorithm for Solving Elliptic Boundary Value Problems

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/3-540-45262-1_42 ◽

2001 ◽

pp. 359-367 ◽

Cited By ~ 2

Author(s):

T. Gurov ◽

P. Whitlock ◽

I. Dimov

Keyword(s):

Monte Carlo ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Monte Carlo Algorithm ◽

Elliptic Boundary Value

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Probabilistically induced domain decomposition methods for elliptic boundary-value problems

Journal of Computational Physics ◽

10.1016/j.jcp.2005.04.014 ◽

2005 ◽

Vol 210 (2) ◽

pp. 421-438 ◽

Cited By ~ 14

Author(s):

Juan A. Acebrón ◽

Maria Pia Busico ◽

Piero Lanucara ◽

Renato Spigler

Keyword(s):

Domain Decomposition ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Decomposition Methods ◽

Elliptic Boundary Value Problems ◽

Domain Decomposition Methods ◽

Elliptic Boundary Value

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Heterogeneous domain decomposition for singularly perturbed elliptic boundary value problems

10.2172/510563 ◽

1995 ◽

Author(s):

M. Garbey ◽

H.G. Kaper

Keyword(s):

Domain Decomposition ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Elliptic Boundary Value

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Heterogeneous Domain Decomposition for Singularly Perturbed Elliptic Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142995285587 ◽

1997 ◽

Vol 34 (4) ◽

pp. 1513-1544 ◽

Cited By ~ 26

Author(s):

Marc Garbey ◽

Hans G. Kaper

Keyword(s):

Domain Decomposition ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Elliptic Boundary Value

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EXISTENCE OF COUPLED WEAK QUASI-SOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30195-4 ◽

1993 ◽

Vol 13 (1) ◽

pp. 102-110

Author(s):

Shixin Yang

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Quasilinear Elliptic

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