Fluid-structure interaction (FSI) is a class of mechanics-related problems with mutual
dependence between the fluid and structure parts and it is observable nearly everywhere, in …

An overview of the extended/generalized finite element method (GEFM/XFEM) with
emphasis on methodological issues is presented. This method enables the accurate …

We propose SDFDiff, a novel approach for image-based shape optimization using
differentiable rendering of 3D shapes represented by signed distance functions (SDFs) …

This paper presents a compact and efficient 88-line MATLAB code for the parameterized
level set method based topology optimization using radial basis functions (RBFs), which is …

Level set methods have been widely used in image processing and computer vision. In
conventional level set formulations, the level set function typically develops irregularities …

This book is intended primarily as a textbook for second-year undergraduate students in
mathematics, mathematical physics, and engineering. The book is designed as a first …

A new three-dimensional numerical wave tank is developed for the calculation of wave
propagation and wave hydrodynamics by solving the incompressible Navier–Stokes …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

The level set method was devised by S. Osher and JA Sethian (1988, J. Comput. Phys. 79,
12–49) as a simple and versatile method for computing and analyzing the motion of an …

In this paper, we present a new variational formulation for geometric active contours that
forces the level set function to be close to a signed distance function, and therefore …