Optimal Operator Preconditioning for Galerkin Boundary Element Methods on 3-Dimensional Screens

Ralf Hiptmair; Carlos Jerez-Hanckes; Carolina Urzúa-Torres

doi:10.1137/18m1196029

Optimal Operator Preconditioning for Galerkin Boundary Element Methods on 3-Dimensional Screens

SIAM Journal on Numerical Analysis ◽

10.1137/18m1196029 ◽

2020 ◽

Vol 58 (1) ◽

pp. 834-857

Author(s):

Ralf Hiptmair ◽

Carlos Jerez-Hanckes ◽

Carolina Urzúa-Torres

Keyword(s):

Boundary Element ◽

Boundary Element Methods ◽

3 Dimensional ◽

Galerkin Boundary Element Methods

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Galerkin Boundary Element Methods for High-Frequency Multiple-Scattering Problems

Journal of Scientific Computing ◽

10.1007/s10915-020-01189-x ◽

2020 ◽

Vol 83 (1) ◽

Author(s):

Fatih Ecevit ◽

Akash Anand ◽

Yassine Boubendir

Keyword(s):

Boundary Element ◽

Multiple Scattering ◽

High Frequency ◽

Boundary Element Methods ◽

Scattering Problems ◽

Galerkin Boundary Element Methods

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Galerkin Residuals for Adaptive Symmetric-Galerkin Boundary Element Methods

Journal of Engineering Mechanics ◽

10.1061/(asce)0733-9399(1999)125:5(575) ◽

1999 ◽

Vol 125 (5) ◽

pp. 575-585 ◽

Cited By ~ 20

Author(s):

Glaucio H. Paulino ◽

L. J. Gray

Keyword(s):

Boundary Element ◽

Boundary Element Methods ◽

Galerkin Boundary Element Methods

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Adaptive Galerkin boundary element methods with panel clustering

Numerische Mathematik ◽

10.1007/s00211-006-0047-9 ◽

2006 ◽

Vol 105 (4) ◽

pp. 603-631 ◽

Cited By ~ 1

Author(s):

Wolfgang Hackbusch ◽

Boris N. Khoromskij ◽

Stefan Sauter

Keyword(s):

Boundary Element ◽

Boundary Element Methods ◽

Galerkin Boundary Element Methods

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Full numerical quadrature of weakly singular double surface integrals in Galerkin boundary element methods

International Journal for Numerical Methods in Biomedical Engineering ◽

10.1002/cnm.1309 ◽

2011 ◽

Vol 27 (2) ◽

pp. 314-334 ◽

Cited By ~ 5

Author(s):

J. D'Elía ◽

L. Battaglia ◽

A. Cardona ◽

M. Storti

Keyword(s):

Boundary Element ◽

Boundary Element Methods ◽

Numerical Quadrature ◽

Weakly Singular ◽

Double Surface ◽

Galerkin Boundary Element Methods ◽

Surface Integrals

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The Characterization of Boundary Integral Operators and Galerkin Boundary Element Methods

Mathematical Theory of Finite and Boundary Element Methods ◽

10.1007/978-3-0348-7630-8_4 ◽

1990 ◽

pp. 239-255

Author(s):

Albert H. Schatz ◽

Vidar Thomée ◽

Wolfgang L. Wendland

Keyword(s):

Boundary Element ◽

Integral Operators ◽

Boundary Integral ◽

Boundary Element Methods ◽

Boundary Integral Operators ◽

Galerkin Boundary Element Methods

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Discontinuous Galerkin boundary element methods for complex electromagnetic applications

2014 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium) ◽

10.1109/usnc-ursi.2014.6955565 ◽

2014 ◽

Cited By ~ 1

Author(s):

Zhen Peng ◽

Jin-Fa Lee

Keyword(s):

Boundary Element ◽

Discontinuous Galerkin ◽

Boundary Element Methods ◽

Galerkin Boundary Element Methods

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First‐kind Galerkin boundary element methods for the Hodge‐Laplacian in three dimensions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6203 ◽

2020 ◽

Vol 43 (8) ◽

pp. 4974-4994

Author(s):

Xavier Claeys ◽

Ralf Hiptmair

Keyword(s):

Boundary Element ◽

Boundary Element Methods ◽

Three Dimensions ◽

Hodge Laplacian ◽

Galerkin Boundary Element Methods

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Adaptive galerkin boundary element methods

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19980781527 ◽

1998 ◽

Vol 78 (S3) ◽

pp. 909-910 ◽

Cited By ~ 1

Author(s):

Birgit Faermann

Keyword(s):

Boundary Element ◽

Boundary Element Methods ◽

Galerkin Boundary Element Methods

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Asymptotic expansions of the error of spline Galerkin boundary element methods

Numerische Mathematik ◽

10.1007/s002110050324 ◽

1998 ◽

Vol 78 (4) ◽

pp. 523-547 ◽

Cited By ~ 17

Author(s):

Michel Crouzeix ◽

Francisco-Javier Sayas

Keyword(s):

Boundary Element ◽

Asymptotic Expansions ◽

Boundary Element Methods ◽

Galerkin Boundary Element Methods

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Numerical integration of functions with endpoint singularities and/or complex poles in 3D Galerkin boundary element methods

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1145474599 ◽

2005 ◽

Vol 41 (4) ◽

pp. 869-895 ◽

Cited By ~ 6

Author(s):

Giovanni Monegato ◽

Letizia Scuderi

Keyword(s):

Boundary Element ◽

Numerical Integration ◽

Boundary Element Methods ◽

Galerkin Boundary Element Methods

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