The dynamics and stability of thin liquid films have fascinated scientists over many decades:
the observations of regular wave patterns in film flows down a windowpane or along …

In this article we consider finite element methods for approximating the solution of partial
differential equations on surfaces. We focus on surface finite elements on triangulated …

Abstract Physics-based differentiable rendering---which is concerned with estimating
derivatives of photorealistic rendering with respect to arbitrary scene parameters---has a …

We study the effect of membrane viscosity in the dynamics of liquid membranes—possibly
with free or internal boundaries—driven by conservative forces (curvature elasticity and line …

Soft particles can be better emulsifiers than hard particles because they stretch at fluid
interfaces. This deformation can increase adsorption energies by orders of magnitude …

Fluid deformable surfaces are ubiquitous in cell and tissue biology, including lipid bilayers,
the actomyosin cortex or epithelial cell sheets. These interfaces exhibit a complex interplay …

An implementation of the crystal plasticity theory in the context of the multiphase-field
method provides a numerically efficient tracking of evolving grain boundaries, modeled as …

Using a nonstandard version of the principle of virtual power, we develop general balance
equations and boundary conditions for second-grade materials. Our results apply to both …

A method is presented to solve two-phase problems involving a material quantity on an
interface. The interface can be advected, stretched, and change topology, and material can …

Inverse rendering is a powerful approach to modeling objects from photographs, and we
extend previous techniques to handle translucent materials that exhibit subsurface …