Junction conditions across perturbed contact discontinuities

Central schemes and contact discontinuities

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Judging distance across texture discontinuities.

Sinai et al (1998 Nature 395 497-500) showed that less distance is perceived along a ground surface that spans two differently textured regions than along a surface that is uniformly textured. We examined the effect of texture continuity on judged distance using computer-generated displays of simulated surfaces in five experiments. Discontinuities were produced by using different textures, the ...

Distance perception across spatial discontinuities

Our previous studies in depth perception (Meng & Sedgwick, 2001) have supported a surface representation of 3-D layout. In such a representation, space is defined by surfaces, and distance is specified along those surfaces rather than through empty space (Alhazen, 1989, p. 155; Gibson, 1950, p. 6; Sinai, Ooi, & He, 1998; reviewed in Sedgwick, 2001). There is increasing evidence that visible sur...

Numerical Solving of Singularly Perturbed Boundary Value Problems with Discontinuities

One-dimensional convection-diffusion problem with interior layers caused by the discontinuity of data is considered. Though standard Galerkin finite element method (FEM) generates oscillations in the numerical solutions, we prove its convergence in the ε-weighted norm of the first order on a class of layer-adapted meshes. We use streamline-diffusion finite element method (SDFEM) in order to sta...

Analysis of Waveguide Junction Discontinuities Using Finite Element Method