TL;DR: In this paper, the boundary element computation in elastostatics is carried out for an assumed shape of an unknown flaw in question, and the calculated results are compared with the reference data and the assumed flaw shape is modified.

TL;DR: In this paper, an accurate compatible scheme for the analysis of bending of elastic Kirchhoff plates of arbitrary shape with general boundary conditions is presented, where Hermitian interpolation is adopted and singular integrals are calculated accurately by using particular solutions.

TL;DR: Outside of a relatively narrow range of geometry ratios (layer thickness over a typical discretization length) certain submatrices to invert are bound to become ill-conditioned, causing significant inaccuracies in the resulting tractions; this intrinsic limitation of applicability strongly depends on the adopted computation precision.

TL;DR: In this article, a boundary element formulation employing the penalty function technique for steady viscous flow problems is presented, where the convective terms in Navier-Stokes equations are considered as body forces in elastostatics.

TL;DR: In this paper, the authors proposed a way of reducing the domain load integrals present in plate bending formulations into boundary integrals, which can be used to deal with plates on Winkler-type elastic foundations.

TL;DR: In this paper, boundary integral equations for flows of an incompressible viscous fluid in two and three dimensions are presented, where flow velocity and pressure are taken as field unknowns.

TL;DR: In this article, the authors derived an asymptotic error analysis for a boundary element method using Dirac's distributions as trial functions, which takes the effect of numerical integration into account.

TL;DR: In this paper, a boundary element formulation for the solution of problems involving compressible plasticity in the presence of large strains and displacements is presented, based on an identity developed by Chandra and Mukherjee 8−10 using an updated Lagrangian frame of reference.

TL;DR: In this article, a model of two-dimensional, steady-state, advective subsurface contaminant transport in ground-water is developed based on the CVBEM (complex variable boundary element method).

TL;DR: In this paper, a finite-segment-modeling (FSM) approach is used to develop a computer formulation of the governing equations of Kane's equations for tree-like structures and the flexibility effects are modelled by springs and dampers at the connecting joints.

TL;DR: It is shown that there are certain examples of linear complementarity problems which are solved by the new proposed algorithm, but are unsolvable by the algorithms of Mangasarian and Van Bokhoven.

TL;DR: In this paper, a finite element methodology is presented for the numerical solution of problems encountered in freeway traffic flow, which is of the shock capturing type, is applied to typical uninterrupted and interrupted freeway flow problems.

TL;DR: In this paper, the two-dimensional boundary element method is re-developed using a consistent formulation for traction and displacement on the boundary - displacements are assumed to vary quadratically with are length and traction are estimated linearly with arc lenght.

TL;DR: In this article, the authors proposed the Boundary Element Retarded Potential Method (BEWAVE) to compute the transient solution of the velocity potential, velocity components tangential or normal to the boudary and pressure at the whole boundary.

TL;DR: In this article, a new numerical scheme for the integration of singularities contained in the boundary integral method is presented, which is based on the analytical integration over a small region around the singular point and numerical integration by the regular Gaussian quadrature over the rest of singular elements as well as nonsingular elements.

TL;DR: The purpose of this paper is to show how one-step time integration algorithms of any desired order can be developed and analyzed systematically and to bring out the relationship (and in some cases equivalence) between assumed displacement and assumed acceleration elements.

TL;DR: In this paper, the authors present a review of pre-and post-buckling analysis algorithms and their computational efficiency and reliability are evaluated in comparison with each other and with existing algorithms as well.

TL;DR: In this paper, the authors compare methode des elements finis and methode de elements frontieres for line-aire des contraintes, and propose a comparison between the two.

TL;DR: An analytical comparison of the computational efficiency of this technique vs. the ordinary simplex method (and the Dantzig-Wolfe algorithm to a limited extent) is given.

TL;DR: In this paper, a comparative study of tunnels by means of the Boundary Element Method and the Finite Element Method is presented. And the advantages of the boundary element method in comparison with the finite element method are pointed out.

TL;DR: Based on boundary element method (BEM), an efficient numerical tool has been developed to analyse three-dimensional electric field, in which mesh generation is limited to the body surface, and performance was compared with existing numerical tools.

TL;DR: In this article, the convergence properties of the complex variable boundary element method (CVBEM) with respect to convergence properties for Dirichlet and mixed boundary value problems were examined.

TL;DR: In this article, a two-dimensional ice creep problem is solved by reducing the quasi-static equilibrium equations to one-dimensional form, and the influence of stress variations, through depth of ice mass, on flow field, is accounted for assassuming appropriate stress distributions and then integrating the stress-dependent creep law through the depth to effect relationships between average velocities, strain rates and stresses.

TL;DR: In this paper, an alternative recurrence formula is presented to evaluate analytically the integrals involved by two-dimensional potential problems solved with the boundary element method, which applies to straight elements but the degree of the shape functions used to model the variation of the unknowns is not limited.

TL;DR: In this paper, a Galerkin approach is used to solve the stress and deflections in a rectangular glass plate used as a window panel using the von Karman equations. But the plate is assumed to be simply supported with zero in-plane forces on the boundary.

TL;DR: In this paper, the performance of the boundary element method when applied to both a steady and a time dependent diffusion problem with Dirichlet boundary conditions is compared. And the improved finite difference scheme is used which models the boundary more accurately than conventional finite difference techniques which reform the boundary so that it lies on the finite difference grid lines.

TL;DR: In this article, a new approach for developing CVBEM approximation functions is presented using the l 2 norm, which is the best approximation in an equivalent vector subspace, and orthogonal functions are used, thus reducing the computational effort and memory requirements.

TL;DR: In this paper, a formulation of the reinforcement problem in terms of elastic potentials and boundary integral equations is presented, and reasons for a special treatment at an early stage of the argument are given, the notions of near fields and far fields and applications to the pull-out test of a reinforcement fibre from an elastic matrix are shown.