Domain decomposition techniques provide a powerful tool for the numerical approximation of partial differential equations. We consider mortar techniques with dual Lagrange multiplier spaces to couple different discretization schemes. It is well known that the discretization error for linear mortar finite elements in the energy norm is of order h. Here, we apply these techniques to curvilinear b...

The mortar element methods were introduced in [BMP94] for non overlapping domain decompositions in order to couple different variational approximations in different subdomains. In the finite element context, one important advantage of the mortar element methods is that it allows for using structured grids in subdomains thus fast solvers [AAH98]. The resulting methods are nonconforming but still...

Concrete is a heterogeneous material consisting of mortar and aggregate at the meso scale. Evaluation of the fracture process at this scale is useful to clarify the material characteristic of concrete. The authors have conducted meso scale analysis of concrete over a past few years by Rigid Body Spring Model (RBSM). In this study, three-dimensional analyses of mortar and concrete are carried ou...

We consider a fully implicit formulation for two-phase flow in a porous medium with capillarity, gravity, and compressibility in three dimensions. The method is implicit in time and uses the multiscale mortar mixed finite element method for a spatial discretization in a nonoverlapping domain decomposition context. The interface conditions between subdomains are enforced in terms of Lagrange mul...

In the last decade, non-conforming domain decomposition methods such as the mortar finite element method have been shown to be reliable techniques for several engineering applications that often employ complex finite element design. With this technique, one can conveniently assemble local subcomponents into a global domain without matching the finite element nodes of each subcomponent at the co...

Abstract. In this paper, a FETI-DP formulation for three dimensional elasticity on non-matching grids over geometrically non-conforming subdomain partitions is considered. To resolve the nonconformity of the finite elements, a mortar matching condition is imposed on the subdomain interfaces (faces). A FETI-DP algorithm is then built by enforcing the mortar matching condition in dual and primal ...

the sustainability of the built environment is increasingly coming to the forefront of infrastructure design and maintenance decisions. to address this, development of a new class of more sustainable cement-based materials is needed. fiber reinforced self-consolidating mortar (frscm) was developed by optimizing the micromechanical parameters, which control composite properties in the hardened s...

In this paper, we introduce, analyze and test first and second order stabilized discontinuous two-field mortar formulations for linearized elasticity problems, following the stabilization technique of Brezzi and Marini [BM00] introduced in the scalar elliptic case for a three-field formulation. All the fundamental assumptions arising in mortar formulations are proved for our discretization proc...

We consider the construction of multiplier spaces for use with the mortar finite element method in three spatial dimensions. Abstract conditions are given for the multiplier spaces which are sufficient to guarantee a stable and convergent mortar approximation. Three examples of multipliers satisfying these conditions are given. The first one is a dual basis example while the remaining two are b...

Problems relating to disposal of sludge accumulating at waste-water treatment plants (WWTP) in Croatia are described in the paper. The possibility and adequacy of using ash obtained through incineration of sludge is considered. A special emphasis is placed on the significance of ash in concrete industry during production of cement mortar and concrete. Results of worldwide research conducted so ...