On the Numerical Solution of Elliptic Partial Differential Equations on Polygonal Domains

SIAM Journal on Scientific Computing ◽

10.1137/18m1199034 ◽

2019 ◽

Vol 41 (4) ◽

pp. A2552-A2578 ◽

Author(s):

Jeremy G. Hoskins ◽

Vladimir Rokhlin ◽

Kirill Serkh

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Polygonal Domains

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The application of sparse matrix methods to the numerical solution of nonlinear elliptic partial differential equations

Lecture Notes in Mathematics - Constructive and Computational Methods for Differential and Integral Equations ◽

10.1007/bfb0066268 ◽

1974 ◽

pp. 131-153 ◽

Author(s):

S. C. Eisenstat ◽

M. H. Schultz ◽

A. H. Sherman

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Sparse Matrix ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Matrix Methods ◽

Nonlinear Elliptic

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An irregular grid for the numerical solution of linear elliptic partial differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.04.055 ◽

2005 ◽

Vol 166 (1) ◽

pp. 84-94 ◽

Author(s):

Yurong Chen ◽

Jiachang Sun

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

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Numerical solution of stochastic elliptic partial differential equations using the meshless method of radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2014.08.013 ◽

2015 ◽

Vol 50 ◽

pp. 291-303 ◽

Author(s):

Mehdi Dehghan ◽

Mohammad Shirzadi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Radial Basis Functions ◽

Meshless Method ◽

Elliptic Partial Differential Equations ◽

Basis Functions ◽

Partial Differential ◽

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New wavelet based full-approximation scheme for the numerical solution of nonlinear elliptic partial differential equations

Alexandria Engineering Journal ◽

10.1016/j.aej.2016.07.019 ◽

2016 ◽

Vol 55 (3) ◽

pp. 2797-2804 ◽

Author(s):

S.C. Shiralashetti ◽

M.H. Kantli ◽

A.B. Deshi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Approximation Scheme ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Nonlinear Elliptic

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Biorthogonal wavelet based multigrid method for the numerical solution of elliptic partial differential equations

International Journal of Computational Materials Science and Engineering ◽

10.1142/s2047684120500190 ◽

2020 ◽

Author(s):

S. C. Shiralashetti ◽

M. H. Kantli ◽

A. B. Deshi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Multigrid Method ◽

Elliptic Partial Differential Equations ◽

Biorthogonal Wavelet ◽

Partial Differential

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A GENERALIZED CONJUGATE GRADIENT METHOD FOR THE NUMERICAL SOLUTION OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Sparse Matrix Computations ◽

10.1016/b978-0-12-141050-6.50023-4 ◽

1976 ◽

pp. 309-332 ◽

Author(s):

Paul Concus ◽

Gene H. Golub ◽

Dianne P. O'Leary

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Elliptic Partial Differential Equations ◽

Partial Differential

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On the numerical solution of elliptic partial differential equations by the method of lines

Journal of Computational Physics ◽

10.1016/0021-9991(72)90007-1 ◽

1972 ◽

Vol 9 (3) ◽

pp. 496-527 ◽

Author(s):

D.J Jones ◽

J.C South ◽

E.B Klunker

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Method Of Lines ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

The Method Of Lines

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On the theory of equivalent operators and application to the numerical solution of uniformly elliptic partial differential equations

Advances in Applied Mathematics ◽

10.1016/0196-8858(90)90007-l ◽

1990 ◽

Vol 11 (2) ◽

pp. 109-163 ◽

Author(s):

V Faber ◽

Thomas A Manteuffel ◽

Seymour V Parter

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Equivalent Operators

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An Investigation of Radial Basis Function-Finite Difference (RBF-FD) Method for Numerical Solution of Elliptic Partial Differential Equations

Mathematics ◽

10.3390/math5040054 ◽

2017 ◽

Vol 5 (4) ◽

pp. 54 ◽

Author(s):

Suranon Yensiri ◽

Ruth Skulkhu

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

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Application of the multiquadric method for numerical solution of elliptic partial differential equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(96)00109-9 ◽

1997 ◽

Vol 84 (2-3) ◽

pp. 275-302 ◽

Author(s):

Maithili Sharan ◽

E.J. Kansa ◽

Suman Gupta

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Elliptic Partial Differential Equations ◽

Partial Differential

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