3 papers
math.OC2026
Designing sustainable barn-type houses: Optimal shapes for minimal envelope and energy use
Ewa Rokita-Magdziarz, Barbara Gronostajska, Marcin Magdziarz
Barn-type houses have become one of the most popular single-family housing typologies in Poland and across Europe due to their simplicity, functionality, and potential for energy e…
math.OC2026
From geometry to sustainability: Optimal shapes of hip roof houses
Ewa Rokita-Magdziarz, Barbara Gronostajska, Marcin Magdziarz
In this paper, we develop a rigorous mathematical framework for the optimization of hip roof house geometry, with the primary goal of minimizing the external surface of the buildin…
math.OC2026
Optimizing the Geometry of an L-Shaped Building to Enhance Energy Efficiency and Sustainability
Ewa Rokita-Magdziarz, Barbara Gronostajska, Marcin Magdziarz
The geometric form of a building strongly influences its material use, heat losses, and energy efficiency. This paper presents an analytical optimization of L-shaped residential bu…