[PDF] Top 20 Geometric Discretization through Primal Dual Meshes

... Implementation. Our implementation makes use of the CGAL library [CGA14] to construct power diagrams in 2D and 3D. For the clipping procedure, we used a mirroring strategy that first detects dual facets ... See full document

... a primal mesh K , the dual mesh ∗ K is defined as the Voronoi dual of K restricted to K ...the dual cells extending outside of K ; compare Figure  ...a dual vertex at the circumcenter ... See full document

... the geometric programming frame- ...the geometric dual that we obtain, common optimization techniques [11, 30] need to solve a series of linear programming sub-problems ...the discretization ... See full document

... a primal constraint becomes tight, stop the growth of all the primal variables involved in that constraint, and update accordingly the corresponding dual ...This primal growth process is used ... See full document

... If only the i-th restriction varies, it is deduced that the i-th dual variable (in the optimal point) can be considered the marginal value of the problem modifying the i-th restriction. In typical economic ... See full document

... the dual of Φ with respect to the Hilbert- Schmidt inner product, and Y is another matrix ...the primal and dual problems ...the primal and dual problems are both feasible, and moreover ... See full document

... a primal-dual-based contraction framework in the prediction-correction ...linearized primal-dual method, SIU, Breg- man operator splitting method, and split Bregman method can be considered as ... See full document

... semantic space and common space embedding approach can be viewed as extensions of their work by introducing feature spaces as characterizations. This extension enables to utilize each space’s character- izations and ... See full document

... Code and data availability. The version of FESOM-C v.2 used to carry out simulations reported here can be accessed from https://doi.org/10.5281/zenodo.2085177. The General Ocean Tur- bulence Model (GOTM) (Burchard et ... See full document

... the dual of FNLP problem as a similar problem that lead to an efficient algorithm called the dual simplex algorithm [16] for solving FNLP ...fuzzy primal simplex me- thod to solve the flexible linear ... See full document

... hexahedron discretization mesh in time domain is carried out with the transient solver from CST MWS and it detects and records the electric field intensity at specific field detection probes placed at various ... See full document

... The mini-batch SPDC method in Algorithm 2 is a natural extension of Algorithm 1. The difference between these two algorithms is that, the mini-batch SPDC method may simultaneously select more than one dual ... See full document

... In this paper, we employ Laurent polynomial method to analyze the continuity of the proposed scheme. The mo- tivation behind our work was to provide users with a simple smoothing tool for polygonal meshes. The ... See full document

... In this paper, the problem is set up as an optimization problem with a linear objective function subject to a set of non-linear constraints resulting from the measurement errors. Primal-dual logarithmic ... See full document

... and dual) restriction monoids are then the factorizable parts of the inverse monoids of partial automorphisms and of bicongruences on A: The partial automorphism monoid PA (A) on a universal algebra A is ... See full document

... Optimisation over the efficient set of a multi-objective optimisation problem is a mathematical model for the problem of selecting a most preferred solution that arises in multiple criteria decision making to account for ... See full document

... optimization, primal variables are inter- preted as resources and dual variables as prices to be paid for ...the primal projection corrects the allocation in order to distribute all the available ... See full document

... The first preconditioner is based on approximating the product of the BTTB matrix and its transpose by a symmetric BTTB matrix while in the second one, we approximate the BTTB matrix by [r] ... See full document

... the dual of the formulated linear programming problem [3] and determined the shortest ...the primal problem from the solution of the dual problem and determined the shortest distance as well as the ... See full document

... A crucial question is the existence guarantee of such a  ˆ for achieving strong duality. Pliska states the following in [1]: The obvious candidate for such a  ˆ is  * , the solution of the dual problem (D). ... See full document