Spline Approximation Methods for the Biharmonic Dirichlet Problem on Non-Smooth Domains

Toeplitz Matrices and Singular Integral Equations ◽

10.1007/978-3-0348-8199-9_9 ◽

2002 ◽

pp. 145-160

Author(s):

Victor D. Didenko ◽

Bernd Silbermann

Keyword(s):

Dirichlet Problem ◽

Spline Approximation ◽

Approximation Methods ◽

Biharmonic Dirichlet Problem

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A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2000160 ◽

2000 ◽

Vol 34 (3) ◽

pp. 637-662 ◽

Cited By ~ 11

Author(s):

Bernard Bialecki ◽

Andreas Karageorghis

Keyword(s):

Dirichlet Problem ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Biharmonic Dirichlet Problem

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Boundary Element Analysis of a Direct Method for the Biharmonic Dirichlet Problem

The Gohberg Anniversary Collection ◽

10.1007/978-3-0348-9144-8_24 ◽

1989 ◽

pp. 569-587 ◽

Cited By ~ 1

Author(s):

M. Costabel ◽

J. Saranen

Keyword(s):

Dirichlet Problem ◽

Boundary Element ◽

Direct Method ◽

Element Analysis ◽

Boundary Element Analysis ◽

A Direct Method ◽

Biharmonic Dirichlet Problem

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On Variation Diminishing Spline Approximation Methods

I. J. Schoenberg Selected Papers ◽

10.1007/978-1-4899-0433-1_12 ◽

1988 ◽

pp. 247-268

Author(s):

Martin Marsden ◽

I. J. Schoenberg

Keyword(s):

Spline Approximation ◽

Approximation Methods ◽

Variation Diminishing

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Spline Approximation Methods Cutting Off Singularities

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/510 ◽

1994 ◽

Vol 13 (2) ◽

pp. 329-345 ◽

Cited By ~ 1

Author(s):

Steffen Roch

Keyword(s):

Spline Approximation ◽

Approximation Methods

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A solution of the biharmonic dirichlet problem by means of hypercomplex analytic functions

Function Theoretic Methods for Partial Differential Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0087636 ◽

1976 ◽

pp. 192-202 ◽

Cited By ~ 3

Author(s):

J. Edenhofer

Keyword(s):

Dirichlet Problem ◽

Analytic Functions ◽

Biharmonic Dirichlet Problem

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STABILITY OF A QUADRATURE METHOD FOR THE BIHARMONIC DIRICHLET PROBLEM

Proceedings of the Third Asian Mathematical Conference 2000 ◽

10.1142/9789812777461_0015 ◽

2002 ◽

Author(s):

V. D. DIDENKO

Keyword(s):

Dirichlet Problem ◽

Quadrature Method ◽

Biharmonic Dirichlet Problem

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A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem

SIAM Journal on Scientific Computing ◽

10.1137/s1064827598342407 ◽

2001 ◽

Vol 22 (5) ◽

pp. 1549-1569 ◽

Cited By ~ 23

Author(s):

Bernard Bialecki ◽

Andreas Karageorghis

Keyword(s):

Dirichlet Problem ◽

Galerkin Method ◽

Spectral Galerkin Method ◽

Biharmonic Dirichlet Problem

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Stability of spline approximation methods for multidimensional pseudodifferential operators

Integral Equations and Operator Theory ◽

10.1007/bf01202290 ◽

1994 ◽

Vol 19 (1) ◽

pp. 25-64 ◽

Cited By ~ 3

Author(s):

R. Hagen ◽

S. Roch ◽

B. Silbermann

Keyword(s):

Pseudodifferential Operators ◽

Spline Approximation ◽

Approximation Methods

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A fast interface solver for the biharmonic Dirichlet problem on polygonal domains

Numerische Mathematik ◽

10.1007/s002110050326 ◽

1998 ◽

Vol 78 (4) ◽

pp. 577-596 ◽

Cited By ~ 3

Author(s):

B.N. Khoromskij ◽

G. Schmidt

Keyword(s):

Dirichlet Problem ◽

Polygonal Domains ◽

Biharmonic Dirichlet Problem

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Local spline approximation methods

Journal of Approximation Theory ◽

10.1016/0021-9045(75)90091-x ◽

1975 ◽

Vol 15 (4) ◽

pp. 294-325 ◽

Cited By ~ 144

Author(s):

Tom Lyche ◽

Larry L Schumaker

Keyword(s):

Spline Approximation ◽

Approximation Methods ◽

Local Spline

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