New article published in CMAME

5 Oktober 2026

This work presents modified augmented Lagrangian block preconditioning for the mixed-dimensional coupling of three-dimensional solids and embedded one-dimensional Kirchhoff–Love beams. The approach combines exact constraint enforcement with efficient block-triangular preconditioning and tailored Schur complement approximations.

 

Numerical studies demonstrate near mesh-independent convergence and favorable parallel scalability, making the method well suited for large-scale structural mechanics simulations.

 

Firmbach, M., Steinbrecher, I., Popp, A., & Mayr, M. (2027). Modified augmented Lagrangian preconditioning for mixed-dimensional beam-solid coupling. Computer Methods in Applied Mechanics and Engineering, 463, 119425. https://doi.org/10.1016/j.cma.2026.119425

 

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