Boris Galerkin

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Galerkin, Boris Grigor’evich

 

Born Feb. 20 (Mar. 4), 1871, in Polotsk; died July 12, 1945, in Leningrad. Soviet engineer and scientist in the field of elasticity theory; became an academician of the Academy of Sciences of the USSR in 1935 (corresponding member in 1928). Lieutenant general of the engineers. Graduated from the St. Petersburg Technological Institute in 1899. In 1906 he was sentenced to 18 months’ imprisonment for participation in the revolutionary movement. He began to teach in 1909.

Galerkin’s works on problems of structural mechanics and elasticity theory facilitated the introduction of modern methods of mathematical analysis into research on the operation of structures and machines. He developed efficient methods of accurate and approximate integration of equations in elasticity theory. Galerkin was one of the creators of the theory of flexure of plates. He investigated the effect of the shape of a plate on the distribution of stresses in it, the effect of distribution of local pressure, and the effect of elasticity of an index contour. The form of the solution of equations of elastic equilibrium proposed by Galerkin in 1930, which consists of three biharmonic functions, made possible the effective resolution of many important spatial problems of elasticity theory. In his works on shell theory, Galerkin shunned conventional hypotheses concerning the character of changes in displacements in thickness and introduced other assumptions that provided greater accuracy and possibilities to extend this theory to shells of medium thickness.

Galerkin was a consultant during the planning and construction of the large Volkhovges, Dneproges, and Dzorages hydroelectric power plants and the Krasnyi Oktiabr’ and Dubrovskaia steam power plants. He was awarded the State Prize of the USSR (1942) and two Orders of Lenin.

WORKS

REFERENCES

Krylov, A. N. [et al.]. “Akademik B. G. Galerkin (K 70-letiiu so dnia rozhdeniia).” Vestnik AN SSSR, 1941, no. 4.
Sokolovskii, V. V. “O zhizni i nauchnoi deiatel’nosti akademika B. G. Galerkina.” Izvestiia AN SSSR: Otdelenie tekhnicheskikh nauk, 1951, no. 8.
References in periodicals archive ?
The inertia was neglected in the momentum equation, and the Stokes equations were used as the governing equations for approaching to SCIM, in which both momentum and continuity equations were solved by the Galerkin least-squares (GLS) method, the energy equation was solved by a GLS/GGLS (Galerkin gradient least-squares) method and the front tracking equations were solved by a streamline upwind Petrov-Galerkin (SUPG) method.
The Galerkin method leads to the following equation:
Their strategy was as follows: Represent the equations (2) as a Galerkin system in Fourier space with a basis {[e.
2]-orthogonal projection to replace the given data [phi] in the Galerkin scheme by some discrete data [[PI].
t]} at time (a); [theta] is a scalar (0 [less than or equal to] [theta] [less than or equal to] 1) which is equal to 2/3 in the Galerkin method.
The ROMs of the N-S equations using the Galerkin projection are established and the control function method is applied to generate new spatial modes of the ROMs during optimization.
Meshless local Petrov Galerkin method (MLPG) for convection-diffusion problems.
The continuity and Navier-Stokes equations are discretized using Galerkin finite element method and the constitutive equation for fiber orientation is discretized using discontinuous Galerkin finite element method.
The stability was studied by linearizing the Navier-Stokes equations by a Galerkin method, and then by seeking the eigen modes of the obtained linear-operator.
Volumetric locking in the Element Free Galerkin method, Int.