In this paper, we present fully implicit continuous Galerkin–Petrov (cGP) and discontinuous
Galerkin (dG) time‐stepping schemes for incompressible flow problems which are, in …

In this paper, we discuss solution techniques of Newton-multigrid type for the resulting
nonlinear saddle-point block-systems if higher order continuous Galerkin–Petrov (cGP (k)) …

We present and analyze a modified Newton solver, the so called operator-related damped
Jacobian method, with a line search globalization for the solution of the strongly nonlinear …

Various materials and solid-fluid mixtures of engineering and biomedical interest can be
modelled as generalised Newtonian fluids, as their apparent viscosity depends locally on …

Flux limiting for hyperbolic systems requires a careful generalization of the design principles
and algorithms introduced in the context of scalar conservation laws. In this chapter, we …

[EN] Developing a numerical and algorithmic tool which correctly identifies unyielded
regions in yield stress fluid flow is a challenging task. Two approaches are commonly used …

In this thesis, we develop efficient numerical methods to solve the viscous-plastic sea ice
model on high resolution grids, with a cell size up to 2 km. This model describes the …

We propose a simple technique for improving computationally the efficiency of monolithic
velocity–pressure solvers for incompressible flow problems. The idea consists in solving the …

In this paper, we shall be concerned with the development, application, and numerical
analysis of the monolithic Newton‐Multigrid finite element method (FEM) to simulate …

We present a novel fully implicit, monolithic multigrid-based finite element solution scheme
to efficiently solve the governing set of differential algebraic equations of incompressible …