Complementary variational principles and error bounds for biharmonic boundary value problems

A. M. Arthurs

doi:10.1007/bf02906432

Complementary variational principles and error bounds for biharmonic boundary value problems

Il Nuovo Cimento B ◽

10.1007/bf02906432 ◽

1973 ◽

Vol 17 (1) ◽

pp. 105-112 ◽

Cited By ~ 2

Author(s):

A. M. Arthurs

Keyword(s):

Boundary Value Problems ◽

Error Bounds ◽

Variational Principles ◽

Boundary Value

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A priori error bounds for general two-point boundary-value problems with arbitrarily many solutions

Nonlinear Analysis ◽

10.1016/0362-546x(85)90087-2 ◽

1985 ◽

Vol 9 (10) ◽

pp. 1081-1093

Author(s):

Peter Wildenauer

Keyword(s):

Boundary Value Problems ◽

Error Bounds ◽

Boundary Value ◽

A Priori ◽

Point Boundary ◽

A Priori Error Bounds

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Some non-classical dual variational principles and a posteriori error estimates for elliptic boundary value problems

Integral methods in science and engineering ◽

10.1201/9780367812027-20 ◽

2020 ◽

pp. 99-103

Author(s):

A. Koshchii

Keyword(s):

Boundary Value Problems ◽

Error Estimates ◽

Variational Principles ◽

Elliptic Boundary ◽

Boundary Value ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Elliptic Boundary Value Problems ◽

A Posteriori Error ◽

Elliptic Boundary Value

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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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Complementary variational principles for biharmonic boundary-value problems

Lettere al Nuovo Cimento ◽

10.1007/bf02780674 ◽

1971 ◽

Vol 2 (12) ◽

pp. 593-597 ◽

Cited By ~ 2

Author(s):

N. Anderson ◽

A. M. Arthurs

Keyword(s):

Boundary Value Problems ◽

Variational Principles ◽

Boundary Value

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Variational principles for boundary value and initial-boundary value problems in continuum mechanics

International Journal of Solids and Structures ◽

10.1016/0020-7683(71)90085-0 ◽

1971 ◽

Vol 7 (7) ◽

pp. 639-654 ◽

Cited By ~ 38

Author(s):

Ranbir S. Sandhu ◽

Karl S. Pister

Keyword(s):

Boundary Value Problems ◽

Continuum Mechanics ◽

Variational Principles ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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A Note on Some Variational Principles for a Class of Linear Initial-Boundary Value Problems

IMA Journal of Applied Mathematics ◽

10.1093/imamat/12.2.119 ◽

1973 ◽

Vol 12 (2) ◽

pp. 119-123 ◽

Cited By ~ 1

Author(s):

J. C. MURRAY

Keyword(s):

Boundary Value Problems ◽

Variational Principles ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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A simple NSC-RKHS algorithm for solving linear boundary value problems – Error bounds and implementations

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.04.062 ◽

2012 ◽

Vol 218 (22) ◽

pp. 11009-11020 ◽

Cited By ~ 1

Author(s):

Grzegorz Andrzejczak

Keyword(s):

Boundary Value Problems ◽

Error Bounds ◽

Boundary Value ◽

Linear Boundary

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Dual extremum principles and error bounds for a class of boundary value problems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(73)90249-7 ◽

1973 ◽

Vol 41 (3) ◽

pp. 781-795 ◽

Cited By ~ 34

Author(s):

A.M Arthurs

Keyword(s):

Boundary Value Problems ◽

Error Bounds ◽

Boundary Value

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A Computer Method and Error Bounds of Nonlinear Two-Point Boundary Value Problems Using Formal Linearization

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr1965.28.313 ◽

1992 ◽

Vol 28 (3) ◽

pp. 313-319

Author(s):

Hitoshi TAKATA

Keyword(s):

Boundary Value Problems ◽

Error Bounds ◽

Boundary Value ◽

Computer Method ◽

Point Boundary ◽

Formal Linearization

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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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