Multi-level meshless methods based on direct multi-elliptic interpolation

Profit Maximization Based on Customer Satisfaction Level in a Multi- Layer Multi-Product Supply Chain

This paper concerns with a mathematical model considering customer satisfaction requirements in a supply chain. The model tradeoffs the supply chain ability to fulfill the customers’ requirements and the limited budget in a variety of production phases. The decisions made here help to determine the profit provider price and economic quantity while the effective supplier and priori requireme...

On Multi-Level Bases for Elliptic Boundary Value Problems

We study the multi-level method to precondition a linear system arising from discretizing an elliptic partial diierential equation of order 2r by using Galerkin's method with spline spaces S 0 1 (4 n) for r = 1 and S r?1 3r?1 (4 n) or S r?1 3r?3 (3 + n) for r 2, where S d denotes a spline space of smoothness and degree d, 4 n is the nth re-nement of a given triangulation 4 0 by using standard u...

Kernel–Based Meshless Methods

2 Kernels 1 2.1 Basics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2.2 Positive Definiteness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 General Rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.4 Inner Product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.5 Dualit...

Kernel Based Meshless Methods

Advances in viscous vortex methods – meshless spatial adaption based on radial basis function interpolation

Vortex methods have a history as old as finite differences. They have since faced difficulties stemming from the numerical complexity of the Biot-Savart law, the inconvenience of adding viscous effects in a Lagrangian formulation, and the loss of accuracy due to Lagrangian distortion of the computational elements. The first two issues have been successfully addressed, respectively, by the appli...