Modeling the boundary shape of the problems described by Navier-Lamé equations using NURBS curves in parametric integral equations system method

Journal of Computational Science ◽

10.1016/j.jocs.2021.101367 ◽

2021 ◽

pp. 101367

Author(s):

Marta Kapturczak ◽

Eugeniusz Zieniuk

Keyword(s):

Integral Equations ◽

Lamé Equations ◽

Boundary Shape ◽

Nurbs Curves ◽

System Method ◽

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Combinatorial approach to Mathieu and Lamé equations

Journal of Mathematical Physics ◽

10.1063/1.4926954 ◽

2015 ◽

Vol 56 (7) ◽

pp. 072302 ◽

Author(s):

Wei He

Keyword(s):

Combinatorial Approach ◽

Lamé Equations ◽

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Group foliation of the Lamé equations of the classical dynamical theory of elasticity

Mechanics of Solids ◽

10.3103/s0025654409030066 ◽

2009 ◽

Vol 44 (3) ◽

pp. 372-379 ◽

Author(s):

Yu. A. Chirkunov

Keyword(s):

Dynamical Theory ◽

Theory Of Elasticity ◽

Lamé Equations ◽

Group Foliation ◽

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Diagonalization of the system of static Lamé equations of isotropic linear elasticity

Journal of Applied and Industrial Mathematics ◽

10.1134/s1990478913010092 ◽

2013 ◽

Vol 7 (1) ◽

pp. 89-99

Author(s):

N. I. Ostrosablin

Keyword(s):

Linear Elasticity ◽

Lamé Equations ◽

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Partial Fourier approximation of the Lamé equations in axisymmetric domains

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(199908)22:12<1017::aid-mma68>3.0.co;2-b ◽

1999 ◽

Vol 22 (12) ◽

pp. 1017-1041 ◽

Author(s):

Boniface Nkemzi ◽

Bernd Heinrich

Keyword(s):

Fourier Approximation ◽

Lamé Equations ◽

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Nonisothermal filtration and seismic acoustics in porous soil: Thermoviscoelastic equations and Lamé equations

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543808020156 ◽

2008 ◽

Vol 261 (1) ◽

pp. 204-213 ◽

Author(s):

A. M. Meirmanov

Keyword(s):

Lamé Equations ◽

Nonisothermal Filtration ◽

Porous Soil ◽

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Lax Pairs for Equations Describing Compatible Nonlocal Poisson Brackets of Hydrodynamic Type and Integrable Reductions of the Lamé Equations

Theoretical and Mathematical Physics ◽

10.1023/b:tamp.0000015071.25148.90 ◽

2004 ◽

Vol 138 (2) ◽

pp. 238-249 ◽

Author(s):

O. I. Mokhov

Keyword(s):

Hydrodynamic Type ◽

Poisson Brackets ◽

Lax Pairs ◽

Lamé Equations ◽

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Modification of the boundary integral equation for the Navier-Lamé equations in 2D elastoplastic problems and its numerical solving

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5451 ◽

2017 ◽

Vol 110 (12) ◽

pp. 1173-1200

Author(s):

Eugeniusz Zieniuk ◽

Agnieszka Bołtuc

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Lamé Equations ◽

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Singularities of Non-Rotationally Symmetric Solutions of Boundary Value Problems for the Lamé Equations in a 3 dimensional Domain with Conical Points

Teubner-Texte zur Mathematik - Symposium “Analysis on Manifolds with Singularities”, Breitenbrunn 1990 ◽

10.1007/978-3-663-11577-9_19 ◽

1992 ◽

pp. 181-193 ◽

Author(s):

A.-M. Sändig ◽

R. Sändig

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Lamé Equations ◽

3 Dimensional ◽

Rotationally Symmetric ◽

Conical Points ◽

Dimensional Domain ◽

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Higher Lamé Equations and Critical Points of Master Functions

Moscow Mathematical Journal ◽

10.17323/1609-4514-2007-7-3-533-542 ◽

2007 ◽

Vol 7 (3) ◽

pp. 533-542 ◽

Author(s):

E. Mukhin ◽

V. Tarasov ◽

A. Varchenko

Keyword(s):

Critical Points ◽

Lamé Equations ◽

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COMPATIBLE NONLOCAL POISSON BRACKETS OF HYDRODYNAMIC TYPE AND INTEGRABLE REDUCTIONS OF THE LAMÉ EQUATIONS

Nonlinear Physics ◽

10.1142/9789812704467_0028 ◽

2003 ◽

Author(s):

O. I. MOKHOV

Keyword(s):

Hydrodynamic Type ◽

Poisson Brackets ◽

Lamé Equations ◽

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