The launch of B2B exchanges in brick and mortar industries has inspired the study of the potential impacts on business models of this shift from offline into online trade. Among market parties, intermediaries form a very interesting group, since electronic marketplaces could be seen as their direct competitors. We argue that the emergence of electronic marketplaces both creates opportunities an...

The mortar element method is an optimal domain decomposition method for the approximation of partial differential equations on non-matching grids. There already exists applications of the mortar method to Navier-Stokes, elasticity, and Maxwell problems. The aim of this paper is to provide an extension of the mortar method to plates and shells problems. We first recall the Discrete Kirchhoff Tri...

It is previously known that the one dimensional mortar nite element projection is stable in the L 2 norm, provided that the ratio of any two neighboring mesh intervals is uniformly bounded, but with the constant in the bound depending on the maximum value of that ratio. In this paper, we show that this projection is stable in the L 2 norm, independently of the properties of the nonmortar mesh. ...

The Finite Element Tearing and Interconnecting (FETI) method is an iterative substructuring method using Lagrange multipliers to enforce the continuity of the nite element solution across the subdomain interface. Mortar nite elements are nonconforming nite elements that allow for a geometrically nonconforming decomposition of the computational domain into subregions and, at the same time, for t...

Abstract—The performance of mortar subjected to high temperature and cooled in normal ambient temperature was examined in the laboratory to comply with the situation of burning & cooling of a structure. Four series of cubical (5 X 5 X 5 cm) mortar specimens were made from OPC, and partial replacement (10, 15, 20, 25 & 30%) of OPC by Rice Husk Ash (RHA) produced in the uncontrolled environment. ...

Domain decomposition techniques provide a flexible tool for the numerical approximation of partial differential equations. Here, we consider mortar techniques for quadratic finite elements in 3D with different Lagrange multiplier spaces. In particular, we focus on Lagrange multiplier spaces which yield optimal discretization schemes and a locally supported basis for the associated constrained m...

We investigate mortar multiscale numerical methods for coupled Stokes and Darcy flows with the Beavers–Joseph–Saffman interface condition. The domain is decomposed into a series of subdomains (coarse grid) of either Stokes or Darcy type. The subdomains are discretized by appropriate Stokes or Darcy finite elements. The solution is resolved locally (in each coarse element) on a fine scale, allow...

To find out which render mortar mix shows the best durability properties, we have designed four ageing tests that aim to simulate water movements, ice formation and salt crystallization in lime mortars exposed to an extreme, but realistic, range of temperature and humidity. It has been found that the response of individual mortar mixes differs according to the mechanism and the agent of attack....

Hierarchical a posteriori error estimators are introduced and analyzed for mortar nite element methods. A weak continuity condition at the interfaces is enforced by means of Lagrange multipliers. The two proposed error estimators are based on a defect correction in higher order nite element spaces and an adequate hierarchical two-level splitting. The rst provides upper and lower bounds for the ...

Several a posteriori error estimators for mortar mixed finite element discretizations of elliptic equations are derived. A residual-based estimator provides optimal upper and lower bounds for the pressure error. An efficient and reliable estimator for the velocity and mortar pressure error is also derived, which is based on solving local (element) problems in a higher-order space. The interface...