A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains

Journal of Scientific Computing ◽

10.1007/s10915-015-0009-4 ◽

2015 ◽

Vol 65 (3) ◽

pp. 1240-1269 ◽

Author(s):

Xiao-Yan Liu ◽

Andreas Karageorghis ◽

C. S. Chen

Keyword(s):

Radial Basis Function ◽

Boundary Value Problems ◽

Basis Function ◽

Function Method ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Annular Domains ◽

Radial Basis Function Method

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The extended-domain–eigenfunction method for solving elliptic boundary value problems with annular domains

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/43/18/185202 ◽

2010 ◽

Vol 43 (18) ◽

pp. 185202 ◽

Author(s):

J Aarão ◽

B H Bradshaw-Hajek ◽

S J Miklavcic ◽

D A Ward

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Annular Domains ◽

Eigenfunction Method

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Kansa radial basis function method with fictitious centres for solving nonlinear boundary value problems

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2020.08.001 ◽

2020 ◽

Vol 119 ◽

pp. 293-301

Author(s):

Andreas Katsiamis ◽

Andreas Karageorghis

Keyword(s):

Radial Basis Function ◽

Boundary Value Problems ◽

Basis Function ◽

Function Method ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value ◽

Radial Basis ◽

Radial Basis Function Method

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Axial Green's function method for multi-dimensional elliptic boundary value problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2341 ◽

2008 ◽

Vol 76 (5) ◽

pp. 697-726 ◽

Author(s):

Do Wan Kim ◽

Seong-Kwan Park ◽

Sukky Jun

Keyword(s):

Green’S Function ◽

Boundary Value Problems ◽

Green's Function ◽

Function Method ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Green’S Function Method ◽

Elliptic Boundary Value

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Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains

Communications in Computational Physics ◽

10.4208/cicp.oa-2018-0031 ◽

2019 ◽

Vol 25 (1) ◽

Author(s):

C. S. Chen ◽

Andreas Karageorghis

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Annular Domains

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A time–efficient variable shape parameter Kansa–radial basis function method for the solution of nonlinear boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126613 ◽

2022 ◽

Vol 413 ◽

pp. 126613

Author(s):

Andreas Karageorghis

Keyword(s):

Radial Basis Function ◽

Boundary Value Problems ◽

Basis Function ◽

Function Method ◽

Shape Parameter ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Variable Shape ◽

Radial Basis Function Method

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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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Numerical solution of elliptic boundary-value problems for Schrödinger-type equations using the Kantorovich method

Mathematical Modelling and Geometry ◽

10.26456/mmg/2014-215 ◽

2014 ◽

Vol 2 (1) ◽

Author(s):

A.A. Gusev ◽

O. Chuluunbaatar ◽

S.I. Vinitsky ◽

A.G. Abrashkevich ◽

V.L. Derbov

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Kantorovich Method ◽

Elliptic Boundary Value

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Parallel black box $$\mathcal {H}$$ -LU preconditioning for elliptic boundary value problems

Computing and Visualization in Science ◽

10.1007/s00791-008-0098-9 ◽

2008 ◽

Vol 11 (4-6) ◽

pp. 273-291 ◽

Author(s):

Lars Grasedyck ◽

Ronald Kriemann ◽

Sabine Le Borne

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Black Box ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value

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A study of the method of approximate factorization for solving grid elliptic boundary-value problems

Mathematical Notes ◽

10.1007/bf01209557 ◽

1993 ◽

Vol 54 (3) ◽

pp. 923-933

Author(s):

A. B. Kucherov ◽

M. M. Makarov

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Approximate Factorization ◽

Elliptic Boundary Value

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Stability of the Rayleigh-Ritz-Galerkin procedure for elliptic boundary value problems

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700025417 ◽

1976 ◽

Vol 14 (3) ◽

pp. 471-472

Author(s):

Bernard J. Omodel

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Galerkin Procedure

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