Abstract:
In this talk, I will discuss a nonlinear numerical scheme
arising from the implicit time discretization of the
Ba\v{z}ant-Thonguthai model for hygro-thermal behavior of concrete at
high temperatures. Existence and uniqueness of the time-discrete
solution in two dimensions is established using the theory of
pseudomonotone operators in Banach spaces. Next, the spatial
discretization is accomplished by the conforming finite element
method. An illustrative example shows that the numerical model
reproduces well the rapid increase of pore pressure in wet concrete
due to extreme heating. Such phenomenon is of particular interest for
the safety assessment of concrete structures prone to
thermally-induced spalling. This is a joint work with Michal Bene\v{s}
and Radek \v{S}tefan (CTU  in Prague).