Meshless methods have been extensively popularized in literature in recent years, due to their flexibility in solving boundary value problems. The meshless local Petrov-Galerkin(MLPG) method for solving the bending problem of the thin plate is presented and discussed in the present paper. The method uses the moving least-squares approximation to interpolate the solution variables, and employs a...

We present a least squares framework for constructing p-th degree immersed finite element (IFE) spaces for typical second-order elliptic interface problems. This least squares formulation enforces interface jump conditions including extended ones already proposed in the literature, and it guarantees the existence of p-th IFE shape functions on interface elements. The uniqueness of the proposed ...

TheWeibull distribution plays a central role in modeling duration data. Its maximum likelihood estimator is very sensitive to outliers.Wepropose three robust and explicit Weibull parameter estimators: the quantile least squares, the repeated median and the median/Qn estimator. We derive their breakdown point, influence function, asymptotic variance and study their finite sample properties in a ...