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APPLICATIONS OF FINITE ELEMENT METHODS TO THE NUMERICAL SOLUTION OF GENERALIZED LAME EQUATIONS

Saltanova Tatyana Viktorovna  (Associate Professor, Department of Software and Systems Engineering Tyumen State University, Institute of Mathematics and computer science )

The article considers a system of equations of elliptic type. Using the energy product, we study the main properties of the generalized differential Lame operator, formulated in the form of analogues of the Betti and Clapeyron formulas. The practical application of the energy product for constructing a new finite element in the finite element method is indicated.

Keywords:Lame type equations, kinematic model of soil, water-saturated foundation, adapted finite element method.

 

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Citation link:
Saltanova T. V. APPLICATIONS OF FINITE ELEMENT METHODS TO THE NUMERICAL SOLUTION OF GENERALIZED LAME EQUATIONS // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2023. -№11. -С. 109-112 DOI 10.37882/2223-2966.2023.11.27
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