Issues 1-2

Rate of convergence estimates for second order elliptic eigenvalue problems on polygonal domains using spectral element methods

Issues 1-2 Volume 09-10

Lokendra K. Balyana,1, Subir Singh Lambab a,bDepartment of Mathematics, IIIT-DM Jabalpur, India 1Corresponding author: E-mail: Abstract: In this paper, we present rate of convergence estimates for eigenvalues and eigenvectors of elliptic differential operators on non-smooth domains using non-conforming spectral element methods. We define a class of compact operators on Banach space which is used […]

Kinetic Flows with Chemical Reactions and Nonequilibrium Structures

Issues 1-2 Volume 09-10

V.V. Aristov, A.A. Frolova, S.A. Zabelok Dorodnicyn Computing Centre of Russian Academy of Sciences Vavilova str., 40, 119333, Moscow, Russia Abstract: Simulations of flows on the basis of kinetic equations for mixtures with chemical reactions are performed. The Nonuniform Relaxation Problems (NRP) are formulated and solved. Unified Flow Solver (UFS) is used for 1D and

Physical-chemical gas-dynamics: challenges and solutions

Issues 1-2 Volume 09-10

Yu.E. Gorbachev 1 , E.G. Kolesnichenko 2 1Research Department, Coddan Technologies LLC, 197342 St. Petersburg, Russia 2Gas Kinetics Lab, Moscow State University, Institute for Mechanics, 117192 Moscow, Russia Abstract: One of the main problems of the non-equilibrium physical-chemical gas-dynamics is considered: derivation of gas-dynamics equations for reactive gas mixtures. By non- equilibrium effects we mean

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