Heterogeneous domain decomposition for singularly perturbed elliptic boundary value problems

Mapping Intimacies ◽

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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Singularly perturbed semilinear elliptic boundary value problems with discontinuous source term

Boundary Value Problems ◽

10.1186/s13661-016-0673-9 ◽

2016 ◽

Vol 2016 (1) ◽

Cited By ~ 1

Author(s):

Dongdong Nie ◽

Feng Xie

Keyword(s):

Boundary Value Problems ◽

Source Term ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Elliptic Boundary Value ◽

Semilinear Elliptic ◽

Discontinuous Source Term

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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

10.1007/978-3-0348-8432-7 ◽

2000 ◽

Cited By ~ 44

Author(s):

Vladimir Maz’ya ◽

Serguei Nazarov ◽

Boris A. Plamenevskij

Keyword(s):

Boundary Value Problems ◽

Asymptotic Theory ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Elliptic Boundary Value

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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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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

10.1007/978-3-0348-8434-1 ◽

2000 ◽

Cited By ~ 28

Author(s):

Vladimir Maz’ya ◽

Serguei Nazarov ◽

Boris A. Plamenevskij

Keyword(s):

Boundary Value Problems ◽

Asymptotic Theory ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Elliptic Boundary Value

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JUSTIFICATION OF ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF NONSELFADJOINT SINGULARLY PERTURBED ELLIPTIC BOUNDARY VALUE PROBLEMS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1987v057n02abeh003071 ◽

1987 ◽

Vol 57 (2) ◽

pp. 317-349 ◽

Cited By ~ 3

Author(s):

S A Nazarov

Keyword(s):

Boundary Value Problems ◽

Asymptotic Expansions ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Elliptic Boundary Value

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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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Numerical simulation of singularly perturbed non-linear elliptic boundary value problems using finite element method

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.06.011 ◽

2012 ◽

Vol 219 (1) ◽

pp. 226-236 ◽

Cited By ~ 3

Author(s):

Manoj Kumar ◽

Akanksha Srivastava ◽

Akhilesh Kumar Singh

Keyword(s):

Numerical Simulation ◽

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Elliptic Boundary Value ◽

Linear Elliptic Boundary

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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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