Abstract In this contribution, it is demonstrated that the mesh sensitivity of linear elastic Reissner–Mindlin finite‐element plate formulations can be significantly reduced by using a Petrov–Galerkin‐based approach. contrast to usual Bubnov–Galerkin method, Petrov–Galerkin methods are generally characterized fact test function and trial approximated different shape functions. To provide an ove...

V. A. PETROV AND A. V. PROKUDIN Institute For High Energy Physics, 142284 Protvino , Russia E-mail: [email protected] [email protected] We develop an off-shell extention of the Regge-eikonal approach which automatically takes into account off-shell unitarity. We argue that exclusive vector-meson production cross-sections measured at HERA can be fairly described with classical universal Regge...

We shall use the quantities and notation stated in [1]. The Petrov classification (PC) [1-8] of the Weyl tensor has a great importance in general relativity, thus it is attractive to account with an efficient procedure to determine the Petrov type of an arbitrary gravitational field. Peres [9] has worked out the tensorial version of the Petrov’s matrix approach [2-4] to perform the PC. In the f...

Some consequences which follow from the periodicity assumption for spectral density of Wilson–Dirac operator are studied. Such an assumption allows to obtain simple representations for quark propagator, which reveals an important role of m ↔ −m symmetry. It is argued that this symmetry is restored when the mirror fermion mass mr tended to infinity. The constrains on zero modes of Wilson–Dirac o...

We develop an algebraic procedure to rotate a general NewmanPenrose tetrad in a Petrov type I spacetime into a frame with Weyl scalars Ψ1 and Ψ3 equal to zero, assuming that initially all the Weyl scalars are non vanishing. The new frame highlights the physical properties of the spacetime. In particular, in a Petrov Type I spacetime, setting Ψ1 and Ψ3 to zero makes apparent the superposition of...

A Legendre and Chebyshev dual-Petrov–Galerkin method for hyperbolic equations is introduced and analyzed. The dual-Petrov– Galerkin method is based on a natural variational formulation for hyperbolic equations. Consequently, it enjoys some advantages which are not available for methods based on other formulations. More precisely, it is shown that (i) the dual-Petrov–Galerkin method is always st...

This paper analyzes a method for solving the thirdand fifth-order differential equations with constant coefficients using a Jacobi dual-Petrov–Galerkin method, which is more reasonable than the standard Galerkin one. The spatial approximation is based on Jacobi polynomials P (α,β) n with α, β ∈ (−1, ∞) and n is the polynomial degree. By choosing appropriate base functions, the resulting system ...

In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is subject to a localized orthogonal decomposition of a high dimensional solution space into a low dimensional multiscale space and a high dimensional remainder space with negligible fine scale information. As a model problem we consider the Poisson problem....

The Petrov solution (for Λ = 0) and the Kaigorodov-Ozsváth solution (for Λ < 0) provide examples of vacuum solutions of the Einstein equations with simply-transitive isometry groups. We calculate the boundary stress-tensor for the Kaigorodov-Ozsváth solution in the context of the adS/CFT correspondence. By giving a matrix representation of the Killing algebra of the Petrov solution, we determin...

‎in this paper, we discuss about existence of solution forintegro-differential system and then we solve it  by using the petrov-galerkin method. in the petrov-galerkin method choosing the trial and test space is important, so  we use alpert multi-wavelet as basisfunctions for these spaces. orthonormality is one of theproperties of alpert multi-wavelet which helps us to reducecomputations in the...