Cementitious materials, such as concrete, cement, and mortar, play a pivotal role in modern society as they form the basis of infrastructure development. Given the accelerating rate of urbanization and the ongoing ageing of existing infrastructure worldwide, there is an urgent need to improve the sustainability, durability, and performance of these materials. Virtual laboratories can use modern computational methods to gain deeper insights into the complex behavior of the materials during production, processing, and on site application. This helps to design durable and high-performance materials while reducing carbon emissions. However, the development of an accurate and comprehensive virtual laboratory addressing these aspects is still in progress due to the immense complexity involved. Cementitious materials are multiphase materials whose properties in the fresh and hardened state are governed by chemical and (multi-)physical properties and processes that range over multiple spatial (µm – cm) and temporal (seconds - years) scales. This mini-symposium will focus on recent advances, challenges, and perspectives in the computational modelling and simulation of cementitious building materials. The focus will be on suitable mapping of time-dependent effects occurring with these materials, starting from the first few minutes after mixing up to years-long processes of damage and degradation. Given the complexity of the materials, the symposium will also address reduced order strategies and materials informatics. Among others, the following topics will be covered by the mini-symposium: • Multiscale and multilevel models (continuum micromechanics, numerical multiscale models) • Reduced-order modelling strategies • Data-driven methods, materials informatics, and machine learning tools for building materials • Methods for simulating damage, fracture, transport and physico-chemo-mechanical processes (e.g. creep, shrinkage, chemical dissolution, chemically expansive processes) • Thermodynamic modelling • Analytical and numerical modelling of cement hydration