A mixed formulation for a Tresca frictional contact problem in linear elasticity is considered in the context of boundary integral equations, which is later extended to Coulomb friction . The discrete Lagrange multiplier, an approximation of the surface traction on the contact boundary part, is a linear combination of biorthogonal basis functions. In case of curved elements, these are the solut...

Mortar finite element methods allow for a flexible and efficient coupling of arbitrary nonconforming interface meshes and are by now quite well established in nonlinear contact analysis. In this paper, a mortar method for three-dimensional (3D) finite deformation contact is presented. Our formulation is based on so-called dual Lagrange multipliers, which in contrast to the standard mortar appro...

Gabor’s signal expansion and the Gabor transform are formulated on a general, nonseparable time-frequency lattice instead of on the traditional rectangular lattice. The representation of the general lattice is based on the rectangular lattice via a shear operation, which corresponds to a description of the general lattice by means of a lattice generator matrix that has the Hermite normal form. ...

Wedge waves are waveguide modes localized near the edge of an elastic wedge and propagating at a speed lower than bulk surface existing in material. These some interest to practice. The purpose this paper is develop calculation methods based on analysis problem for viscoelastic plates, calculate relative phase velocities along wedge-shaped plate. represented as plates variable thickness. basic ...

This paper provides the details of Remark 5.4 in the author’s paper “Askey-Wilson polynomials as zonal spherical functions on the SU(2) quantum group”, SIAM J. Math. Anal. 24 (1993), 795–813. In formula (5.9) of the 1993 paper a two-parameter class of Askey-Wilson polynomials was expanded as a finite Fourier series with a product of two 3phi2’s as Fourier coefficients. The proof given there use...

Within the context of analysis of finite element models, a methodology is developed for the tracking of complex eigenvalues and eigenvectors through changes in aeroelastic eigenvalue problems. The goal is to eliminate difficulties caused by mode switching (i.e., frequency crossing). Two new methods for mode tracking are presented and compared with an existing method. The first new method, the c...

In the last decade it has become clear that one of the central themes within Gabor analysis (with respect to general timefrequency lattices) is a duality theory for Gabor frames, including the Wexler-Raz biorthogonality condition, the Ron-Shen’s duality principle or Janssen’s representation of a Gabor frame operator. All these results are closely connected with the so-called Fundamental Identit...

A semiclassical theory of single and multimode lasing is derived for open complex or random media using a self-consistent linear response formulation. Unlike standard approaches which use closed cavity solutions to describe the lasing modes, we introduce an appropriate discrete basis of functions which describe also the intensity and angular emission pattern outside the cavity. This constant fl...

This paper is concerned with developing conditions on a given nite collection of compactly supported algebraically linearly independent reenable functions that insure the existence of biorthog-onal systems of reenable functions with similar properties. In particular we address the close connection of this issue with stationary subdivision schemes. 1 Introduction During the past few years the co...

Empirical tests have been developed for evaluating the numerical properties of multirate M -band filter banks represented as N×M matrices of filter coefficients. Each test returns a numerically observed estimate of a 1×M vector parameter in which themth element corresponds to themth filter band. These vector valued parameters can be readily converted to scalar valued parameters for comparison o...