# On Adaptive-Multilevel BDDC

## TL;DR

This paper introduces a new adaptive-multilevel BDDC method that combines the benefits of both approaches, achieving scalable parallel performance and strong convergence for 2D elasticity problems.

## Contribution

The paper proposes a novel adaptive-multilevel BDDC method that preserves scalability and convergence, advancing domain decomposition techniques.

## Key findings

- Demonstrates scalability with increasing subdomains
- Achieves excellent convergence properties
- Validated on 2D linear elasticity problem

## Abstract

We combine the advantages of the adaptive and multilevel approaches, proposed previously by the authors, to propose a new method that preserves both, parallel scalability with increasing number of subdomains and excellent convergence properties. Performance of the method is illustrated on a two-dimensional problem of linear elasticity.