On the finite dimensional approximations of some mixed variational inequalities

Badriev, I. B.; Banderov, V. V.; Gnedenkova, V.L.; Kalacheva, N. V.; Korablev, A. I.; Tagirov, R. R.

doi:10.12988/ams.2015.57480

Cited by 25 publications

(11 citation statements)

References 28 publications

(15 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Обобщенные постановки физически нелинейных и геометрически линейных задач рассмотрены в [15][16][17][18][19]. Нелинейные задачи теории мягких сетчатых оболочек изучены в [20][21][22][23][24][25][26][27][28]. Численное решение геометрически нелинейных задач проведено в [29][30][31][32][33][34][35].…”

Section: рис 1 трехслойная конструкция заполнители: 1 -пенопласт; unclassified

Производная Гато Оператора Геометрически Нелинейной Задачи Об Изгибе Трехслойной Пластины

Бадриев¹,

Буянов²,

Макаров³

2017

Тенденции Развития Науки И Образования

View full text Add to dashboard Cite

Section: рис 1 трехслойная конструкция заполнители: 1 -пенопласт; unclassified

Производная Гато Оператора Геометрически Нелинейной Задачи Об Изгибе Трехслойной Пластины

Бадриев¹,

Буянов²,

Макаров³

2017

Тенденции Развития Науки И Образования

View full text Add to dashboard Cite

“…The theoretical basis for the study of nonlinear spectral problems is results obtained for linear eigenvalues problems [17][18][19][20][21][22][23]. In the papers [24][25][26][27][28][29][30], numerical methods for solving applied nonlinear boundary value problems and variational inequalities have been studied.…”

Section: Introductionmentioning

confidence: 99%

Eigenvibrations of a bar with load

Samsonov

́ev

2017

MATEC Web Conf.

View full text Add to dashboard Cite

Abstract. The differential eigenvalue problem describing eigenvibrations of an elastic bar with load is investigated. The problem has an increasing sequence of positive simple eigenvalues with limit point at infinity. To the sequence of eigenvalues, there corresponds a complete orthonormal system of eigenfunctions. We formulate limit differential eigenvalue problems and prove the convergence of the eigenvalues and eigenfunctions of the initial problem to the corresponding eigenvalues and eigenfunctions of the limit problems as load mass tending to infinity. The original differential eigenvalue problem is approximated by the finite difference method on a uniform grid. Error estimates for approximate eigenvalues and eigenfunctions are established. Investigations of this paper can be generalized for the cases of more complicated and important problems on eigenvibrations of beams, plates and shells with attached loads.

show abstract

“…The theoretical basis for the study of nonlinear eigenvalue problems is results obtained for linear eigenvalues problems [17][18][19][20][21][22][23]. In the papers [24][25][26][27][28][29][30], numerical methods for solving applied nonlinear boundary value problems and variational inequalities have been studied. …”

Section: Introductionmentioning

confidence: 99%

Finite difference approximation of electron balance problem in the stationary high-frequency induction discharges

́ev

Chebakova

2017

MATEC Web Conf.

View full text Add to dashboard Cite

Abstract. The problem of finding the minimal eigenvalue corresponding to a positive eigenfunction of the nonlinear eigenvalue problem for the ordinary differential equation with coefficients depending on a spectral parameter is investigated. This problem arises in modeling the plasma of radio-frequency discharge at reduced pressures. The original differential eigenvalue problem is approximated by the finite difference method on a uniform grid. A sufficient condition for the existence of a minimal eigenvalue corresponding to a positive eigenfunction of the finite difference nonlinear eigenvalue problem is established. Error estimates for the approximate eigenvalue and the corresponding approximate positive eigenfunction are proved. Investigations of this paper generalize well known results for eigenvalue problems with linear dependence on the spectral parameter.

show abstract

On the finite dimensional approximations of some mixed variational inequalities

Cited by 25 publications

References 28 publications

Производная Гато Оператора Геометрически Нелинейной Задачи Об Изгибе Трехслойной Пластины

Производная Гато Оператора Геометрически Нелинейной Задачи Об Изгибе Трехслойной Пластины

Eigenvibrations of a bar with load

Finite difference approximation of electron balance problem in the stationary high-frequency induction discharges

Contact Info

Product

Resources

About