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 ◽

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

Numerical Methods for Elliptic and Parabolic Partial Differential Equations - Texts in Applied Mathematics ◽

10.1007/0-387-21762-2_4 ◽

2006 ◽

pp. 92-175

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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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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An introduction to the analysis of the error in the finite element method for second-order elliptic boundary value problems

Lecture Notes in Mathematics - Numerical Analysis Lancaster 1984 ◽

10.1007/bfb0075158 ◽

1985 ◽

pp. 94-139 ◽

Author(s):

A. H. Schatz

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 ◽

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A higher-order accurate Petrov-Galerkin finite-element method for elliptic boundary-value problems

Communications in Applied Numerical Methods ◽

10.1002/cnm.1630081205 ◽

1992 ◽

Vol 8 (12) ◽

pp. 869-874 ◽

Author(s):

R. J. MacKinnon ◽

R. W. Johnson ◽

M. A. Langerman

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Higher Order ◽

Elliptic Boundary Value Problems ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Elliptic Boundary Value

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Coupling of Spectral Methods and the p-Version of the Finite Element Method for Elliptic Boundary Value Problems Containing Singularities

Journal of Computational Physics ◽

10.1006/jcph.1993.1185 ◽

1993 ◽

Vol 108 (2) ◽

pp. 314-326 ◽

Author(s):

W. Cai ◽

H.C. Lee ◽

H.-S. Oh

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Spectral Methods ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

The Finite Element Method ◽

Elliptic Boundary Value ◽

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The Approximation of Solutions of Elliptic Boundary-Value Problems via the p-Version of the Finite Element Method

SIAM Journal on Numerical Analysis ◽

10.1137/0723005 ◽

1986 ◽

Vol 23 (1) ◽

pp. 58-77 ◽

Author(s):

Milo R. Dorr

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

The Finite Element Method ◽

Elliptic Boundary Value ◽

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Elliptic boundary value problems with nonvariational perturbation and the finite element method

Applications of Mathematics ◽

10.21136/am.1973.103498 ◽

1973 ◽

Vol 18 (6) ◽

pp. 422-433

Author(s):

Vladimír Janovský

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

The Finite Element Method ◽

Elliptic Boundary Value ◽

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A new fourth order discretization for singularly perturbed two dimensional non-linear elliptic boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.08.023 ◽

2006 ◽

Vol 175 (2) ◽

pp. 1400-1414 ◽

Author(s):

R.K. Mohanty ◽

Swarn Singh

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Two Dimensional ◽

Elliptic Boundary Value ◽

Linear Elliptic Boundary

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Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: higher-order elements

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(98)00243-6 ◽

1999 ◽

Vol 171 (1-2) ◽

pp. 1-23 ◽

Author(s):

Jichun Li ◽

I.M. Navon

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Elliptic Boundary ◽

Boundary Value ◽

Higher Order ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Elliptic Boundary Value ◽

Uniformly Convergent

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