The dealii-X2 Centre of Excellence aims to establish the deal.II finite element library as a production-grade, exascale-capable
Lighthouse Code for advanced simulation workflows governed by partial differential equations. Building on the achievements of the
ongoing dealii-X project, dealii-X2 moves from exascale application demonstrations toward a reusable, solver-centric software
infrastructure supporting multi-query, optimization-driven, and uncertainty-aware workflows on current and future EuroHPC systems.
Many emerging scientific and engineering use cases—including physics-based digital twins, inverse problems, and reduced-order
modelling—are characterized by repeated solution of large-scale, parameterized PDE models. Their computational cost is dominated
not by a single simulation, but a whole range of numerical experiments. Existing solutions typically address these demands in an
application-specific manner, limiting reuse and long-term sustainability.
To address this gap, dealii-X2 adopts a two-track methodological strategy. The first track targets hardware-facing solver and linearalgebra
technologies, focusing on performance, scalability, and robustness on emerging exascale architectures. The second track
develops stable engine-level abstractions that expose operators, parameters, and quantities of interest as first-class computational
objects for large-scale and multi-query workflows. The two tracks are coupled through a continuous consolidation and validation
loop based on representative application drivers, workflow testing, continuous integration, and performance regression monitoring,
ensuring production-grade and sustainable capabilities.
Through this integrated approach, dealii-X2 consolidates numerical capabilities into a coherent software ecosystem and positions
deal.II as a long-term European research infrastructure for exascale PDE solvers, enabling sustained exploitation of EuroHPC systems
across scientific domains.