In this work, we study the convergence of the finite element method when applied to the following parabolic equation: ut = div(|u|γ(x)Δu) + f(x, t), x ∈ Ω ⊂ Rm, t ∈]0, T]. Since the problem may be of ...

We investigate the use of higher-order mixed methods for second-order elliptic problems by establishing refined stability and convergence estimates which take into ...

Isogeometric analysis (IGA) has emerged as a transformative computational technique by seamlessly integrating Computer-Aided Design (CAD) and Finite Element Analysis (FEA). This approach utilises ...

Finite Element Methods for solving problems with material and geometric nonlinearities; transient dynamics analysis with explicit and implicit time integration, partitioned methods, and stability; ...