Pre-Publicación 2026-02
Jorge Aguayo, Rodolfo Araya:
A Nitsche-type finite element method for the linear elasticity equation with discontinuity jumps
Abstract:
This article establishes a family of Nitsche-type finite element schemes to numerically approximate the solution of a linear elasticity problem with a jump condition on an interface. We detail the analysis of the existence and uniqueness of solution of the discrete problem, and the a priori error estimation for a mesh-dependent norm. An a posteriori error estimator is also introduced, which proves to be efficient and reliable. We show some numerical tests that confirm our findings and illustrate the application of adaptive refinement techniques to improve the numerical solution for modeling subduction earthquakes.
