Approximate Solution and Error Bounds for Quasi-Linear Elliptic Boundary Value Problems

J. B. Rosen

doi:10.1137/0707004

Approximate Solution and Error Bounds for Quasi-Linear Elliptic Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0707004 ◽

1970 ◽

Vol 7 (1) ◽

pp. 80-103 ◽

Cited By ~ 17

Author(s):

J. B. Rosen

Keyword(s):

Approximate Solution ◽

Boundary Value Problems ◽

Error Bounds ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Linear Elliptic Boundary

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Control of error in the homotopy analysis of semi-linear elliptic boundary value problems

Numerical Algorithms ◽

10.1007/s11075-012-9554-1 ◽

2012 ◽

Vol 61 (4) ◽

pp. 613-629 ◽

Cited By ~ 29

Author(s):

Robert A. Van Gorder

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Homotopy Analysis ◽

Control Of Error ◽

Linear Elliptic Boundary

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Computable Error Bounds for the Finite Element Method for Elliptic Boundary Value Problems

Numerische Methoden bei Differentialgleichungen und mit funktionalanalytischen Hilfsmitteln - International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique ◽

10.1007/978-3-0348-6988-1_1 ◽

1974 ◽

pp. 9-27

Author(s):

R. E. Barnhill ◽

J. R. Whiteman

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Error Bounds ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

The Finite Element Method ◽

Elliptic Boundary Value ◽

Computable Error Bounds

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Analytical Solutions of Some Two-Point Non-Linear Elliptic Boundary Value Problems

Applied Mathematics ◽

10.4236/am.2012.39154 ◽

2012 ◽

Vol 03 (09) ◽

pp. 1044-1058 ◽

Cited By ~ 6

Author(s):

Vembu Ananthaswamy ◽

Lakshmanan Rajendran

Keyword(s):

Boundary Value Problems ◽

Analytical Solutions ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Non Linear ◽

Linear Elliptic Boundary

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The Finite Element Method for Linear Elliptic Boundary Value Problems of Second Order

10.1007/978-3-030-79385-2_3 ◽

2021 ◽

pp. 111-204

Author(s):

Peter Knabner ◽

Lutz Angermann

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Second Order ◽

Elliptic Boundary Value Problems ◽

The Finite Element Method ◽

Elliptic Boundary Value ◽

Linear Elliptic Boundary

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Convergent solution bounds for linear elliptic boundary value problems of monotone kind

Computing ◽

10.1007/bf02242788 ◽

1980 ◽

Vol 24 (1) ◽

pp. 9-19 ◽

Cited By ~ 1

Author(s):

K. -H. Meyn

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Linear Elliptic Boundary ◽

Convergent Solution

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On a Class of Non-Linear Elliptic Boundary Value Problems

Indiana University Mathematics Journal ◽

10.1512/iumj.1970.19.19033 ◽

1969 ◽

Vol 19 (4) ◽

pp. 351-356 ◽

Cited By ~ 2

Author(s):

Charles Coffman

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Non Linear ◽

Linear Elliptic Boundary

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$H^1 $-Norm Error Bounds for Piecewise Hermite Bicubic Orthogonal Spline Collocation Schemes for Elliptic Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0731059 ◽

1994 ◽

Vol 31 (4) ◽

pp. 1128-1146 ◽

Cited By ~ 20

Author(s):

Bernard Bialecki ◽

Xiao-Chuan Cai

Keyword(s):

Boundary Value Problems ◽

Error Bounds ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Spline Collocation ◽

Elliptic Boundary Value ◽

Orthogonal Spline Collocation ◽

Norm Error

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Embedding theorems and quasi-linear elliptic boundary value problems for unbounded domains

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1972-0312241-x ◽

1972 ◽

Vol 172 ◽

pp. 261-261 ◽

Cited By ~ 46

Author(s):

Melvyn S. Berger ◽

Martin Schechter

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Unbounded Domains ◽

Elliptic Boundary Value Problems ◽

Embedding Theorems ◽

Elliptic Boundary Value ◽

Linear Elliptic Boundary

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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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A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2021.1920936 ◽

2021 ◽

pp. 1-26

Author(s):

Geetan Manchanda ◽

R. K. Mohanty ◽

Arshad Khan

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

High Accuracy ◽

Elliptic Boundary Value Problems ◽

Exponential Form ◽

Elliptic Boundary Value ◽

Non Linear ◽

Linear Elliptic Boundary

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