We analyze an optimized artificial fixed-stress iterative scheme for a space–time finite
element approximation of the Biot system modeling fluid flow in deformable porous media …

The kinetic energy of a flow is proportional to the square of the L 2 (Ω) norm of the velocity.
Given a sufficient regular velocity field and a velocity finite element space with polynomials …

In this paper, we present a convergence analysis of a weak Galerkin finite element method
(WG-FEM) using polygonal meshes for the semilinear singularly perturbed time-dependent …

We present new results in the numerical analysis of singularly perturbed convection‐
diffusion‐reaction problems that have appeared in the last five years. Mainly discussing …

A finite element error analysis of a local projection stabilization (LPS) method for the time-
dependent Navier–Stokes equations is presented. The focus is on the high-order term-by …

A new three-field formulation based on the Local Projection Stabilization (LPS) is developed
for computations of the coupled Navier–Stokes and Oldroyd-B viscoelastic constitutive …

SUMMARY A pressure‐driven flow of elongated bullet‐shaped bubbles in a narrow channel
is known as Taylor flow or bubble‐train flow. This process is of relevance in various …

In this paper, the numerical approximation of unsteady convection–diffusion–reaction
equations with finite difference method on a special grid is studied in the convection or …

We study continuous finite element dicretizations for one dimensional hyperbolic partial
differential equations. The main contribution of the paper is to provide a fully discrete …

In the present thesis a new numerical method for the simulation of mass transport in an
incompressible immiscible two-phase flow system is presented. The mathematical model …