this paper is about discrete sensitivity analysis. a triangular bending element with constant moment and six degrees of freedom is used. the required derivatives for sensitivity analysis are calculated explicitly. these formulations, finite element method and sequential linear programming are utilized to find shape optimization of plate bending structures. the numerical examples, which show the...

The efficient and stereoselective synthesis of, or precursors to, multi-substituted alkenes has attracted substantial interest due to their existence in various industrially and biologically important compounds. One of the most atom economical routes to such alkenes is the transition metal catalyzed hetero element–element0 p-insertion into alkynes. This article provides a thorough up-to-date re...

A concurrent partilionerforpartitioning Unstructured finite element meshes on distributed memory architectures is developed. The partitioned uses an element-based partitioning strategy 1[s main advantage over the more conventional node-based partitioning strategy is its modular programing approach to the development of parallel applications. The partitionerfirst partitions element centroids ioi...

A method is presented for controlling element sizes on the interior of areas during surface meshing. A Delaunay background mesh is defined over which a neighborhood based interpolation scheme is used to interpolate element sizes. A brief description of natural neighbor interpolation is included and compared to linear interpolation. Two specific applications are presented that utilize the sizing...

In this work, we propose a projection operator based on restricted element-wise projections, which can be applied to a large set of finite element spaces. In contrast to most other projectors, such as the standard interpolation operator or the well-known Clément’s operator, our projection operator does not utilise the node functionals defining the basis functions of the finite element space. Mo...