This review paper discusses the developments in immersed or unfitted finite element
methods over the past decade. The main focus is the analysis and the treatment of the …

PURPOSE The aim of this study is to summarize various biomechanical aspects in
evaluating the long-term stability of dental implants based on finite element method (FEM) …

The proliferation of 3D representations, from explicit meshes to implicit neural fields and
more, motivates the need for simulators agnostic to representation. We present a data …

Friction and wear test equipment, scanning electron microscope, abrasion balls made of
CGr15 high carbon chromium bearing steel, and liners made of NM500 steel were used for …

Solving partial differential equations (PDEs) on geometric domains is an important
component of computer graphics, geometry processing, and many other fields. Typically, the …

High-order bases provide major advantages over linear ones in terms of efficiency, as they
provide (for the same physical model) higher accuracy for the same running time, and …

Topology optimization is able to maximally leverage the high DOFs and mechanical
potentiality of porous foams but faces three fundamental challenges: conforming to free-form …

Background Virtual cutting of deformable objects plays an important role in many
applications, especially in digital medicine, such as soft tissue cutting in virtual surgery …

Accurately estimating and simulating the physical properties of objects from real-world
sound recordings is of great practical importance in the fields of vision, graphics, and …

Nonlinear systems arising from time integrators like Backward Euler can sometimes be
reformulated as optimization problems, known as incremental potentials. We show through a …