We solve the VVP, vorticity–velocity–pressure, formulation of the stationary incompressible
Navier–Stokes equations based on the least-squares finite element method. For the discrete …

A new class of nonparametric nonconforming quadrilateral finite elements is introduced
which has the midpoint continuity and the mean value continuity at the interfaces of …

Most of the real contaminant problems are defined domains that are geometrically complex
and can have different boundary conditions in different areas. Therefore, it is usually difficult …

In this paper, a new nonparametric nonconforming quadrilateral finite element is introduced.
This element takes the four edge mean values as the degrees of the freedom and the finite …

We introduce a piecewise P2-nonconforming quadrilateral finite element. First, we
decompose a convex quadrilateral into the union of four triangles divided by its diagonals …

In this paper, we construct new nonconforming finite elements on the meshes consisting of
arbitrary convex quadrilaterals, especially for the quadratic and cubic cases. For each case …

A Hierarchical Flow Solver for Optimisation with PDE Constraints Page 1 A Hierarchical Flow
Solver for Optimisation with PDE Constraints Dissertation zur Erlangung des Grades eines …

The first order condition of the constrained minimization problem leads to a saddle point
problem. A multigrid method using a multiplicative Schwarz smoother for saddle point …

A robust mesh optimisation method is presented that directly enforces the resulting
deformation to be orientation preserving. Motivated by aspects from mathematical elasticity …

This thesis is concerned with the numerical simulations of thixoviscoplastic (TVP) flow
problems. As a nonlinear multifield two-way coupled problem, the analysis of …