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Cited article:

Error estimates of the finite difference method for eigenvalue problems with nonlinear entrance of the spectral parameter

S I Solov’ev and P S Solov’ev
Journal of Physics: Conference Series 1158 042020 (2019)
https://doi.org/10.1088/1742-6596/1158/4/042020

Spectrum division for eigenvalue problems with nonlinear dependence on the parameter

A A Samsonov, P S Solov’ev and S I Solov’ev
Journal of Physics: Conference Series 1158 042012 (2019)
https://doi.org/10.1088/1742-6596/1158/4/042012

Finite Element Approximation of the Minimal Eigenvalue and the Corresponding Positive Eigenfunction of a Nonlinear Sturm—Liouville Problem

D. M. Korosteleva, P. S. Solov’ev and S. I. Solov’ev
Lobachevskii Journal of Mathematics 40 (11) 1959 (2019)
https://doi.org/10.1134/S1995080219110179

Error of the Finite Element Approximation for a Differential Eigenvalue Problem with Nonlinear Dependence on the Spectral Parameter

A. A. Samsonov, P. S. Solov’ev, S. I. Solov’ev and D. M. Korosteleva
Lobachevskii Journal of Mathematics 40 (11) 2000 (2019)
https://doi.org/10.1134/S199508021911026X

Convergence behaviour of the enriched scaled boundary finite element method

Sophia Bremm, Sascha Hell and Wilfried Becker
International Journal for Numerical Methods in Engineering 120 (7) 880 (2019)
https://doi.org/10.1002/nme.6162

Error estimates of the quadrature finite element method with biquadratic finite elements for elliptic eigenvalue problems in the square domain

S I Solov’ev and P S Solov’ev
Journal of Physics: Conference Series 1158 042021 (2019)
https://doi.org/10.1088/1742-6596/1158/4/042021

Finite Element Approximation of the Minimal Eigenvalue of a Nonlinear Eigenvalue Problem

S. I. Solov’ev and P. S. Solov’ev
Lobachevskii Journal of Mathematics 39 (7) 949 (2018)
https://doi.org/10.1134/S199508021807020X

Determination of singularity exponents in 3D elasticity problems using enriched base functions in the Scaled Boundary Finite Element Method

Sascha Hell and Wilfried Becker
PAMM 16 (1) 137 (2016)
https://doi.org/10.1002/pamm.201610057

Efficient and reliable hp-FEM estimates for quadratic eigenvalue problems and photonic crystal applications

Christian Engström, Stefano Giani and Luka Grubišić
Computers & Mathematics with Applications 72 (4) 952 (2016)
https://doi.org/10.1016/j.camwa.2016.06.001

Existence of solutions for electron balance problem in the stationary radio-frequency induction discharges

V S Zheltukhin, S I Solovyev, P S Solovyev and V Yu Chebakova
IOP Conference Series: Materials Science and Engineering 158 012103 (2016)
https://doi.org/10.1088/1757-899X/158/1/012103

Computation of the minimum eigenvalue for a nonlinear Sturm-Liouville problem

V. S. Zheltukhin, S. I. Solov’ev, P. S. Solov’ev and V. Yu. Chebakova
Lobachevskii Journal of Mathematics 35 (4) 416 (2014)
https://doi.org/10.1134/S1995080214040076

Graded mesh refinement and error estimates of higher order for DGFE solutions of elliptic boundary value problems in polygons

Miloslav Feistauer and Anna‐Margarete Sändig
Numerical Methods for Partial Differential Equations 28 (4) 1124 (2012)
https://doi.org/10.1002/num.20668

The Laplace and the linear elasticity problems near polyhedral corners and associated eigenvalue problems

Arnd Meyer and Cornelia Pester
Mathematical Methods in the Applied Sciences 30 (7) 751 (2007)
https://doi.org/10.1002/mma.807

Multifield Problems in Solid and Fluid Mechanics

Dorothee Knees and Anna-Margarete Sändig
Lecture Notes in Applied and Computational Mechanics, Multifield Problems in Solid and Fluid Mechanics 28 331 (2006)
https://doi.org/10.1007/978-3-540-34961-7_10