Discrete maximum principles are established for finite element approximations 10 of nonlinear parabolic PDE systems with mixed boundary and interface conditions. The 11 results are based on an algebraic discrete maximum principle for suitable ODE systems. 12

Flexible barriers are increasingly used for the protection from debris flow in mountainous terrain due to their low cost and environmental impact. However, the development of a numerical tool for the rational design of such structures is still a challenge. In this work, a hybrid computational framework is presented, using a total Lagrangian formulation of the finite element method to represent ...

In a preceding paper, we proved the discrete compactness properties of Rellich type for some 2D discontinuous Galerkin finite element methods (DGFEM), that is, the strong L2 convergence of some subfamily of finite element functions bounded in an H1-like mesh-dependent norm. In this note, we will show the strong Lp convergence of the above subfamily for 1 ≤ p < ∞. To this end, we will utilize th...

The dynamics of matrix coupling with an application to Krylov methods p. 14 High precision method for calculating the energy values of the hydrogen atom in a strong magnetic field p. 25 Splitting methods and their application to the abstract Cauchy problems p. 35 Finite difference approximation of an elliptic interface problem with variable coefficients p. 46 The finite element method for the N...

The flux-mortar mixed finite element method was recently developed in Boon et al. (2022) for a general class of domain decomposition saddle point problems on non-matching grids. In this work we develop the Darcy flow using multipoint flux approximation as subdomain discretization. involve solving positive definite cell-centered pressure systems. normal interfaces is mortar coupling variable, wh...