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Journal articles on the topic 'Lagrange-Dirichlet theorem'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Kuznetsov, Alexey. "Lagrange Inversion Theorem for Dirichlet series." Journal of Mathematical Analysis and Applications 493, no. 2 (2021): 124575. http://dx.doi.org/10.1016/j.jmaa.2020.124575.

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2

Alva, Gerard. "SOBRE LA RECÍPROCA DEL TEOREMA DE DIRICHLET-LAGRANGE." Selecciones Matemáticas 3, no. 2 (2016): 1–4. http://dx.doi.org/10.17268/sel.mat.2016.02.01.

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3

Peiffer, K. "On inversion of the lagrange-dirichlet theorem." Journal of Applied Mathematics and Mechanics 55, no. 4 (1991): 436–41. http://dx.doi.org/10.1016/0021-8928(91)90002-c.

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4

de Pera Garcia, Manuel Valentim, and Gerard John Alva Morales. "A Partial Reciprocal of Dirichlet Lagrange Theorem Detected by Jets." Qualitative Theory of Dynamical Systems 16, no. 2 (2016): 371–89. http://dx.doi.org/10.1007/s12346-016-0196-x.

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5

Kozlov, V. V. "Asymptotic motions and the inversion of the lagrange-dirichlet theorem." Journal of Applied Mathematics and Mechanics 50, no. 6 (1986): 719–25. http://dx.doi.org/10.1016/0021-8928(86)90079-1.

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6

Brogliato, Bernard. "Absolute stability and the Lagrange–Dirichlet theorem with monotone multivalued mappings." Systems & Control Letters 51, no. 5 (2004): 343–53. http://dx.doi.org/10.1016/j.sysconle.2003.09.007.

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7

Palamodov, V. P. "On inversion of the Lagrange–Dirichlet theorem and instability of conservative systems." Russian Mathematical Surveys 75, no. 3 (2020): 495–508. http://dx.doi.org/10.1070/rm9945.

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8

Hagedorn, Peter, and Jean Mawhin. "A simple variational approach to a converse of the Lagrange-Dirichlet theorem." Archive for Rational Mechanics and Analysis 120, no. 4 (1992): 327–35. http://dx.doi.org/10.1007/bf00380318.

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9

Iwaniec, Tadeusz, Jani Onninen, and Teresa Radice. "The Nitsche phenomenon for weighted Dirichlet energy." Advances in Calculus of Variations 13, no. 3 (2020): 301–23. http://dx.doi.org/10.1515/acv-2017-0060.

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AbstractThe present paper arose from recent studies of energy-minimal deformations of planar domains. We are concerned with the Dirichlet energy. In general the minimal mappings need not be homeomorphisms. In fact, a part of the domain near its boundary may collapse into the boundary of the target domain. In mathematical models of nonlinear elasticity this is interpreted as interpenetration of matter. We call such occurrence the Nitsche phenomenon, after Nitsche’s remarkable conjecture (now a theorem) about existence of harmonic homeomorphisms between annuli. Indeed the round annuli proved to

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10

Arimoto, Suguru, and Morio Yoshida. "Modeling and Control of 2D Grasping under Rolling Contact Constraints between Arbitrary Shapes: A Riemannian-Geometry Approach." Journal of Robotics 2010 (2010): 1–13. http://dx.doi.org/10.1155/2010/926579.

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Modeling, control, and stabilization of dynamics of two-dimensional object grasping by using a pair of multijoint robot fingers are investigated under rolling contact constraints and arbitrariness of the geometry of the object and fingertips. First, modeling of rolling motion between 2D rigid bodies with arbitrary shape is treated under the assumption that the two contour curves coincide at the contact point and share the same tangent. The rolling constraints induce the Euler equation of motion that is parameterized by a pair of arclength parameters and constrained onto the kernel space as an

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11

Sharma, Ishan. "Stability of rotating non-smooth complex fluids." Journal of Fluid Mechanics 708 (August 29, 2012): 71–99. http://dx.doi.org/10.1017/jfm.2012.271.

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AbstractWe extend the classical energy criterion for stability, the Lagrange–Dirichlet theorem, to rotating non-smooth complex fluids. The stability test so developed is very general and may be applied to most rotating non-smooth systems where the spectral method is inapplicable. In the process, we rigourously define an appropriate coordinate system in which to investigate stability – this happens to be the well-known Tisserand mean axis of the body – as well as systematically distinguish perturbations that introduce angular momentum and/or jumps in the stress state from those that do not. Wit

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12

Akinlar, Mehmet Ali, Muhammet Kurulay, Aydin Secer, and Mustafa Bayram. "Efficient Variational Approaches for Deformable Registration of Images." Abstract and Applied Analysis 2012 (2012): 1–8. http://dx.doi.org/10.1155/2012/704567.

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Dirichlet, anisotropic, and Huber regularization terms are presented for efficient registration of deformable images. Image registration, an ill-posed optimization problem, is solved using a gradient-descent-based method and some fundamental theorems in calculus of variations. Euler-Lagrange equations with homogeneous Neumann boundary conditions are obtained. These equations are discretized by multigrid and finite difference numerical techniques. The method is applied to the registration of brain MR images of size65×65. Computational results indicate that the presented method is quite fast and

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13

Drouin, Christian. "A two-dimensional continued fraction algorithm with Lagrange and Dirichlet properties." Journal de Théorie des Nombres de Bordeaux 26, no. 2 (2014): 307–46. http://dx.doi.org/10.5802/jtnb.869.

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14

Bertoluzza, Silvia. "Local boundary estimates for the Lagrange multiplier discretization of a Dirichlet boundary value problem with application to domain decomposition." Calcolo 43, no. 3 (2006): 121–49. http://dx.doi.org/10.1007/s10092-006-0115-7.

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15

Koubaiti, Ouadie, Said EL Fakkoussi, Jaouad El-Mekkaoui, Hassan Moustachir, Ahmed Elkhalfi, and Catalin I. Pruncu. "The treatment of constraints due to standard boundary conditions in the context of the mixed Web-spline finite element method." Engineering Computations 38, no. 7 (2021): 2937–68. http://dx.doi.org/10.1108/ec-02-2020-0078.

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Purpose This paper aims to propose a new boundary condition and a web-spline basis of finite element space approximation to remedy the problems of constraints due to homogeneous and non-homogeneous; Dirichlet boundary conditions. This paper considered the two-dimensional linear elasticity equation of Navier–Lamé with the condition CAB. The latter allows to have a total insertion of the essential boundary condition in the linear system obtained; without using a numerical method as Lagrange multiplier. This study have developed mixed finite element; method using the B-splines Web-spline space. T

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16

Morrison, George, and Ali Taheri. "The interplay between two Euler–Lagrange operators relating to the nonlinear elliptic system $$\Sigma [(u, {\mathscr {P}}), \varOmega ]$$." Advances in Operator Theory 6, no. 1 (2020). http://dx.doi.org/10.1007/s43036-020-00100-7.

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AbstractWe establish the existence of multiple whirling solutions to a class of nonlinear elliptic systems in variational form subject to pointwise gradient constraint and pure Dirichlet type boundary conditions. A reduced system for certain $$\mathbf{SO}(n)$$ SO ( n ) -valued matrix fields, a description of its solutions via Lie exponentials, a structure theorem for multi-dimensional curl free vector fields and a remarkable explicit relation between two Euler–Lagrange operators of constrained and unconstrained types are the underlying tools and ideas in proving the main result.

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17

Yang, Miaomiao, Xinkun Du, and Yongbin Ge. "Solution of the 3D Helmholtz equation using barycentric Lagrange interpolation collocation method." Engineering Computations ahead-of-print, ahead-of-print (2021). http://dx.doi.org/10.1108/ec-09-2020-0516.

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PurposeThis meshless collocation method is applicable not only to the Helmholtz equation with Dirichlet boundary condition but also mixed boundary conditions. It can calculate not only the high wavenumber problems, but also the variable wave number problems.Design/methodology/approachIn this paper, the authors developed a meshless collocation method by using barycentric Lagrange interpolation basis function based on the Chebyshev nodes to deduce the scheme for solving the three-dimensional Helmholtz equation. First, the spatial variables and their partial derivatives are treated by interpolati

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