JuliaFEM/Mortar2D.jl: A Julia package to calculate discrete projections between non-conforming finite element meshes

Mortar2D.jl is a Julia package to calculate discrete projections between non-conforming finite element mesheds. The resulting "mortar matrices" can be used to tie non-conforming finite element meshes together which are meshed separately to construct bigger models.

Using mortar methods in mesh tie problems results variationally consistent solution. Mathematically, goal is to solve mixed problem with primary field variable and Lagrange multipliers, which have a physical meaning (e.g. contact pressure if unknown field is displacement). The problem arising is a typical saddle point problem with zeros on diagonal.