Search Results - "Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions"

Contributors: Boukraa, Mohamed Aziz, Inversion of Differential Equations For Imaging and physiX (IDEFIX), Unité de Mathématiques Appliquées (UMA), École Nationale Supérieure de Techniques Avancées (ENSTA Paris), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-EDF R&D (EDF R&D), EDF (EDF)-EDF (EDF)-Centre Inria de l'Institut Polytechnique de Paris, Centre Inria de Saclay, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre Inria de Saclay, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris), Laboratoire de Mathématiques Nicolas Oresme (LMNO), Université de Caen Normandie (UNICAEN), Normandie Université (NU)-Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS), Photomécanique et analyse expérimentale en mécanique des solides Institut Pprime (PEM), Département Génie Mécanique et Systèmes Complexes Institut Pprime (Département GMSC), Institut Pprime UPR 3346 (PPrime Poitiers ), Université de Poitiers = University of Poitiers (UP)-École Nationale Supérieure de Mécanique et d’Aérotechnique Poitiers (ISAE-ENSMA)-Centre National de la Recherche Scientifique (CNRS)-Université de Poitiers = University of Poitiers (UP)-École Nationale Supérieure de Mécanique et d’Aérotechnique Poitiers (ISAE-ENSMA)-Centre National de la Recherche Scientifique (CNRS)-Institut Pprime UPR 3346 (PPrime Poitiers ), Université de Poitiers = University of Poitiers (UP)-École Nationale Supérieure de Mécanique et d’Aérotechnique Poitiers (ISAE-ENSMA)-Centre National de la Recherche Scientifique (CNRS)-Université de Poitiers = University of Poitiers (UP)-École Nationale Supérieure de Mécanique et d’Aérotechnique Poitiers (ISAE-ENSMA)-Centre National de la Recherche Scientifique (CNRS), Franco-Tunisian Hubert Curien Program (PHC Utique -CMCU 20G1501- Campus France 44300SD)

Source: Journal of Computational and Applied Mathematics. 457:116285

Subject Terms: Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs, Cauchy problem, Numerical optimization and variational techniques, method of fundamental solutions, biharmonic equation, Numerical methods for inverse problems for boundary value problems involving PDEs, Partial functional-differential equations, [MATH] Mathematics [math], [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Biharmonic equation, inverse boundary value problems, Inverse boundary value problems, Method of fundamental solutions, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, [MATH]Mathematics [math], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

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Access URL: https://zbmath.org/7958822
https://doi.org/10.1016/j.cam.2024.116285
https://hal.science/hal-04711339v1/document
https://hal.science/hal-04711339v1
https://doi.org/10.1016/j.cam.2024.116285

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5

Academic Journal

A representation formula for radially weighted biharmonic functions in the unit disc

Authors: Olofsson, A.

Source: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publicacions Matemàtiques; Vol. 49, Núm. 2 (2005); p. 393-415

Subject Terms: radially weighted biharmonic operator, Boundary value problems for higher-order elliptic equations, harmonic compensator, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions

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Access URL: https://raco.cat/index.php/PublicacionsMatematiques/article/download/128384/176699
http://hdl.handle.net/2072/380989
https://ddd.uab.cat/record/5111
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http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/128384

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6

Academic Journal

The Steklov Problem in a Half-Plane: the Dependence of Eigenvalues on a Piecewise-Constant Coefficient: The Steklov problem in a half-plane: dependence of eigenvalues on a piecewise-constant coefficient

Authors: O. V. Motygin, N. G. Kuznetsov

Source: Journal of Mathematical Sciences. 127:2429-2445

Subject Terms: incompressible, heavy fluid, 0103 physical sciences, General topics in linear spectral theory for PDEs, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, eigenfunction, Systems of elliptic equations, boundary value problems, sloshing frequencies, free two-dimensional oscillations of an ideal, 0101 mathematics, 01 natural sciences, eigenfrequency

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Access URL: https://zbmath.org/2214108
https://doi.org/10.1007/s10958-005-0192-1
https://link.springer.com/article/10.1007/s10958-005-0192-1

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7

Academic Journal

TH-collocation for the biharmonic equation

Authors: Martin Diaz, Ismael Herrera

Source: Advances in Engineering Software. 36:243-251

Subject Terms: Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Parallel numerical computation, 01 natural sciences, Biharmonic equation, Boundary value problems for higher-order elliptic equations, Discontinuous Galerkin method, Trefftz method, conjugate gradient method, Trefftz-Herrera collocation, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, Spectral, collocation and related methods for boundary value problems involving PDEs, Domain decomposition, Collocation, 0101 mathematics, parallel computation

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Access URL: https://dblp.uni-trier.de/db/journals/aes/aes36.html#DiazH05
https://core.ac.uk/display/20700412
https://www.sciencedirect.com/science/article/abs/pii/S0965997804001863

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8

Academic Journal

Application of radial basis meshless methods to direct and inverse biharmonic boundary value problems

Authors: Jichun Li

Source: Communications in Numerical Methods in Engineering. 21:169-182

Subject Terms: Boundary value and inverse problems for harmonic functions in two dimensions, Inverse problems for PDEs, collocation, numerical examples, Numerical methods for inverse problems for boundary value problems involving PDEs, 01 natural sciences, Boundary value problems for higher-order elliptic equations, inverse problem, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, meshless method, Spectral, collocation and related methods for boundary value problems involving PDEs, 0101 mathematics, radial basis function, biharmonic boundary value problem

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Access URL: https://zbmath.org/2159903
https://doi.org/10.1002/cnm.736
https://www.onlinelibrary.wiley.com/doi/abs/10.1002/cnm.736

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9

Academic Journal

A mixed finite volume element method based on rectangular mesh for biharmonic equations

Authors: Tongke Wang

Source: Journal of Computational and Applied Mathematics. 172:117-130

Subject Terms: Error estimate, Error bounds for boundary value problems involving PDEs, biharmonic equation, Applied Mathematics, error bound, mixed finite volume element method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, Biharmonic equation, Computational Mathematics, Boundary value problems for higher-order elliptic equations, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, mixed finite volume method, rectangular mesh, 0101 mathematics, Rectangular mesh, Mixed finite volume element method

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Access URL: https://www.sciencedirect.com/science/article/pii/S0377042704001116
https://dl.acm.org/doi/10.1016/j.cam.2004.02.002
https://ui.adsabs.harvard.edu/abs/2004JCoAM.172..117W/abstract
https://core.ac.uk/display/82327137
https://www.sciencedirect.com/science/article/abs/pii/S0377042704001116

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10

Academic Journal

Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems

Authors: Guido Sweers, Anna Dall'Acqua

Source: Journal of Differential Equations. 205:466-487

Subject Terms: Weighted Lp-Lq-regularity, Polyharmonic Dirichlet problem, Weighted \(L^p\)-\(L^q\)-regularity, Boundary value problems for higher-order elliptic equations, Kernel estimates, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, Fundamental solutions to PDEs, 0101 mathematics, A priori estimates in context of PDEs, 01 natural sciences, Analysis

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Access URL: https://zbmath.org/2127118
https://doi.org/10.1016/j.jde.2004.06.004
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https://www.sciencedirect.com/science/article/pii/S0022039604002244
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http://ui.adsabs.harvard.edu/abs/2004JDE...205..466D/abstract
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https://www.sciencedirect.com/science/article/abs/pii/S0022039604002244

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11

Academic Journal

Axisymmetric numerical integration by boundary element method

Authors: Yoshihiro Ochiai

Source: Engineering Analysis with Boundary Elements. 28:843-848

Subject Terms: numerical examples, polyharmonic function, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Multiple-reciprocity method, Boundary element methods for boundary value problems involving PDEs, 02 engineering and technology, Poisson equation, 01 natural sciences, Computational mechanics, 0202 electrical engineering, electronic engineering, information engineering, Boundary element method, boundary integral equations, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, 0101 mathematics, Axisymmetric problem

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Access URL: https://zbmath.org/2193122
https://doi.org/10.1016/j.enganabound.2003.12.007
https://www.sciencedirect.com/science/article/pii/S0955799703002145

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12

Academic Journal

Infinite systems for a biharmonic problem in a rectangle: further discussion: Infinite systems for a biharmonic problem in a rectangle: Further discussion.

Authors: Alexander Gomilko, V. V. Meleshko

Source: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 460:807-819

Subject Terms: Multiplicity of solutions of equilibrium problems in solid mechanics, 0203 mechanical engineering, non-uniqueness, plate bending, 0103 physical sciences, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, Stokes flow, 02 engineering and technology, Plates, 01 natural sciences, Stokes and related (Oseen, etc.) flows

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https://doi.org/10.1098/rspa.2003.1186
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https://www.royalsocietypublishing.org/doi/10.1098/rspa.2003.1186
https://rspa.royalsocietypublishing.org/content/460/2043/807

13

Academic Journal

A monotonicity estimate of the biharmonic Green function

Authors: Anders Olofsson

Source: Archiv der Mathematik. 82:240-244

Subject Terms: norm estimates for dilation operators, harmonic compensator, Bergman space, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, 0101 mathematics, Approximation in the complex plane, 01 natural sciences

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Access URL: https://zbmath.org/2119261
https://link.springer.com/content/pdf/10.1007/s00013-003-0612-8.pdf
https://lup.lub.lu.se/search/publication/a57b3944-8168-418b-b761-c17515cca863
https://link.springer.com/article/10.1007/s00013-003-0612-8
https://www.lunduniversity.lu.se/lup/publication/a57b3944-8168-418b-b761-c17515cca863
https://portal.research.lu.se/portal/en/publications/a-monotonicity-estimate-of-the-biharmonic-green-function-arch-math-basel-82-2004-240244(a57b3944-8168-418b-b761-c17515cca863).html

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14

Academic Journal

A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation

Authors: S. H. Lui, Xuejun Xu, Talal Rahman

Source: IMA Journal of Numerical Analysis. 24:97-122

Subject Terms: Multigrid methods, domain decomposition for boundary value problems involving PDEs, Morley nonconforming element, convergence, Error bounds for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, numerical results, 01 natural sciences, Newton-Krylov-Schwarz method, additive Schwarz method, finite element, Nonlinear boundary value problems for linear elliptic equations, 0103 physical sciences, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, nonlinear biharmonic equation, Navier-Stokes equations, 0101 mathematics, domain decomposition method

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Access URL: http://imajna.oxfordjournals.org/lookup/doi/10.1093/imanum/24.1.97
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15

Academic Journal

CONVEXITY CONSIDERATIONS FOR THE BIHARMONIC EQUATION IN PLANE POLARS WITH APPLICATIONS TO ELASTICITY: Convexity considerations for the biharmonic equation in plane polars with applications to elasticity

Authors: J. N. Flavin

Source: Nonlinear Elasticity and Theoretical Mechanics ISBN: 9780198534860

Subject Terms: 0203 mechanical engineering, Classical linear elasticity, arch-like regions, plane stress, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, 02 engineering and technology, cross-section measure, 0101 mathematics, 01 natural sciences, self-equilibrated load

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Access URL: https://academic.oup.com/qjmam/article/45/4/555/1861606

16

Academic Journal

Construction of Green functions for weighted biharmonic operators: Construction of Green functions for weighted biharmonic operators.

Authors: Rachel J. Weir

Source: Journal of Mathematical Analysis and Applications. 288:383-396

Subject Terms: Boundary value problems for higher-order elliptic equations, Applied Mathematics, Bergman space, Fundamental solutions to PDEs, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, 0101 mathematics, 01 natural sciences, Analysis

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0022247X03007200
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17

Academic Journal

The non-homogeneous biharmonic plate equation: fundamental solutions: The non-homogeneous biharmonic plate equation: fundamental solutions.

Authors: Richard Paul Shaw, George D. Manolis, Tsviatko Rangelov

Source: International Journal of Solids and Structures. 40:5753-5767

Subject Terms: Elastic sub-grade, functions, Non-homogeneous media, 0203 mechanical engineering, Green's, Biharmonic operator, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, 02 engineering and technology, Radon transformation, 0101 mathematics, Plates, 01 natural sciences, Conformal mapping

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Access URL: https://zbmath.org/2066511
https://doi.org/10.1016/s0020-7683(03)00343-3
https://www.sciencedirect.com/science/article/pii/S0020768303003433
https://dialnet.unirioja.es/servlet/articulo?codigo=666462

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18

Academic Journal

A reliable identification of electric current dipoles using harmonic functions

Authors: Katsu Yamatani, Kohzaburo Ohnaka, Hirokazu Inui

Source: Journal of Computational and Applied Mathematics. 157:107-123

Subject Terms: Software, source code, etc. for problems pertaining to optics and electromagnetic theory, magnetoencephalography, Inverse problems for PDEs, Applied Mathematics, Biophysics, numerical method, error estimate, 01 natural sciences, electric current dipoles, Computational Mathematics, harmonic function, Biological applications of optics and electromagnetic theory, inverse source problem, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, 0101 mathematics

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Access URL: https://zbmath.org/1970732
https://doi.org/10.1016/s0377-0427(03)00379-0
http://ui.adsabs.harvard.edu/abs/2003JCoAM.157..107I/abstract
https://www.sciencedirect.com/science/article/pii/S0377042703003790

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19

Academic Journal

A Geometric Approach to the Calderón-Zygmund Estimates: A geometric approach to the Calderón-Zygmund estimates

Authors: Lihe Wang

Source: Acta Mathematica Sinica, English Series. 19:381-396

Subject Terms: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Hardy-Littlewood maximal function, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, Calderón-Zygmund estimates, Nonlinear elliptic equations, Vitali covering lemma, 0101 mathematics, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions

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Access URL: https://zbmath.org/1941610
https://doi.org/10.1007/s10114-003-0264-4
https://link.springer.com/article/10.1007/s10114-003-0264-4

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20

Academic Journal

Infinite systems for a biharmonic problem in a rectangle: discussion of non–uniqueness: Infinite systems for a biharmonic problem in a rectangle: Discussion of non-uniqueness

Authors: A. M. J. Davis

Source: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 459:409-412

Subject Terms: biharmonic equation, uniqueness, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/1931440
https://doi.org/10.1098/rspa.2002.1029
https://www.jstor.org/stable/3560114
https://ui.adsabs.harvard.edu/abs/2003RSPSA.459..409D/abstract
https://royalsocietypublishing.org/doi/10.1098/rspa.2002.1029

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