A new dual mortar method for curved interfaces: 2D elasticity

Dual mortar method formulations have shown to be a very effective and efficient way for interfacing (e.g. tying, contacting) dissimilar meshes. On the other hand, we have recently found that they can sometimes perform quite poorly when applied to curved surfaces in some solid mechanics applications. A new modified two-dimensional dual mortar method for piecewise linear finite elements is developed that overcomes this deficiency and is demonstrated on a model problem. Furthermore, mathematical analysis is provided to demonstrate the optimal convergence and stability of the new method