An iterative coupling of finite element and boundary element methods for the investigation of coupled fluid-solid systems is presented. While finite elements are used to model the solid, the adjacent fluid is represented by boundary elements. In order to perform the coupling of the two numerical methods, a successive renewal of the variables on the interface between the two subdomains is perfor...

Genomic maps of chromatin modifications have provided evidence for the partitioning of genomes into domains of distinct chromatin states, which assist coordinated gene regulation. The maintenance of chromatin domain integrity can require the setting of boundaries. The HS4 insulator element marks the 3' boundary of a heterochromatin region located upstream of the chicken β-globin gene cluster. H...

In this paper we present a new approach to generate a mixed mesh with elements aligned to boundary/interfaces wherever is required. A valid element is: (a) any convex co-spherical element that fulfills the requirements of the underlying numerical method and (b) any element that satisfies domain specific geometric features of the model. The algorithm is based on the normal offsetting approach to...

The paper explores new expansions of the eigenvalues for −∆u = λρu in S with Dirichlet boundary conditions by the bilinear element (denoted Q1) and three nonconforming elements, the rotated bilinear element (denoted Qrot 1 ), the extension of Q rot 1 (denoted EQ rot 1 ) and Wilson’s elements. The expansions indicate that Q1 and Qrot 1 provide upper bounds of the eigenvalues, and that EQrot 1 an...

We present new finite element methods for Helmholtz and Maxwell equations for general three-dimensional polyhedral meshes, based on domain decomposition with boundary elements on the surfaces of the polyhedral volume elements. The methods use the lowest-order polynomial spaces and produce sparse, symmetric linear systems despite the use of boundary elements. Moreover, piecewise constant coeffic...

In this paper, we explore three different ways of developing T-Trefftz finite elements of quadrilateral as well as polygonal shapes. In all of these three approaches, in addition to assuming an inter-element compatible displacement field along the element boundary, an interior displacement field for each element is independently assumed as a linear combination of T-Trefftz trial functions. In a...

Topologically associated domains (TADs) are 3D genomic structures with high internal interactions that play important roles in genome compaction and gene regulation. Their genomic locations and their association with CCCTC-binding factor (CTCF)-binding sites and transcription start sites (TSSs) were recently reported. However, the relationship between TADs and other genomic elements has not bee...

The AISC Seismic Provisions and CSA S-16 Standard require a minimum moment of inertia for the vertical boundary elements (VBEs) in steel plate shear walls (SPSWs) to avoid undesirable VBE behaviors. The equation limiting VBE flexibility has been derived from a flexibility factor, ωt, developed in plate girder theory and the limit on VBE flexibility has been empirically specified based on previo...

The fundamental underpinnings of the well-known Bernoulli’s Equation, as used to describe steady state two-dimensional flow of an ideal incompressible irrotational flow, are typically described in terms of partial differential equations. However, it has been shown that the Cauchy Integral Theorem of standard complex variables also explain the Bernoulli’s Equation and, hence, can be directly use...