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This paper formulates an edge-based smoothed point interpolation method (ES-PIM) for solid mechanics using three-node triangular meshes. In the ES-PIM, displacement fields are construed using the point interpolation method (polynomial PIM or radial PIM), and hence the shape functions possess the Kronecker delta property, facilitates the enforcement of… (More)
A class of smoothed point interpolation methods (smoothed PIMs) are introduced in this paper, which are derived from the smoothed Galerkin weak-form for variational formulation based on the gradient smoothing techniques . In the scheme of smoothed PIMs, the strain smoothing operation  can be applied on different types of smoothing domains which are… (More)
We present two-dimension gallium nitride (GaN) quantum-well (QW) diode laser (LD) simulation using Rsoft LaserMOD. The optical mode patterns are calculated and analyzed by the transfer matrix and Ritz Iteration. Our study is focus on the ghost mode reduction in the GaN laser design and laser performance.
We consider the singular perturbation problem ∆u ǫ = β ǫ (u ǫ), where β ǫ (s) = 1 ǫ β(s ǫ), β is a Lipschitz continuous function such that β > 0 in (0, 1), β ≡ 0 outside (0, 1) and 1 0 β(s) ds = 1 2. We construct an example exhibiting a degenerate singularity as ǫ k ց 0. More precisely, there is a sequence of solutions u ǫ k → u as k → ∞, and there exists x… (More)
Backlash which always exists in gear transmission position servo system, would cause dead-zone error, outputting oscillation, limit cycle and deteriorate system control performance. To enhance the control performance of position servo system with backlash, a novel auto-tune model predictive control approach is proposed in this paper. In this approach, an… (More)