Isogeometric analysis (IGA) in the framework of the boundary element method (BEM) is
reviewed in this paper. IGA is a fundamental tool in computational mechanics which enables …

We propose a new phase-field model formulated within the system of lattice Boltzmann (LB)
equation for simulating solidification and dendritic growth with fully coupled melt flow and …

Partial differential equations (PDEs) with spatial derivatives of order higher than two are
receiving increasing attention, partially due to the current popularity of the phase-field …

Unstructured quadrilateral meshes are widely used in representing surfaces of arbitrary
topology. However, in connection with isogeometric analysis, unstructured meshes suffer …

In this article, we consider consistent, efficient, and accurate numerical approximations for a
recently developed Cahn–Hilliard type phase-field surfactant model enjoying the bounded …

We study the fingering instability in a droplet simultaneously induced to spread by a
surfactant and temperature. The use of the lubrication approximation yields coupled …

2. CAD Modelle sind Oberflächenmodelle. Daher eignet sich die IGA zur Modellierung
komplexer Oberflächen. Aufgrund der Tensorproduktform der Basisfunktionen ist die …

This thesis introduces an open-source module developed using the FEniCS platform for
analyzing composite materials with varying properties across the computational domain and …

Analyses of heat and mass transfer between different materials and phases are essential in
numerous fundamental scientific problems and practical engineering applications, such as …