A new non-iterative mesh generation algorithm named conforming to interface structured
adaptive mesh refinement (CISAMR) is introduced for creating 3D finite element models of …

Several new algorithmic aspects of the conforming to interface structured adaptive mesh
refinement (CISMAR) mesh generation technique are presented for creating high-fidelity …

We develop a unified theory for continuous-in-time finite element discretizations of partial
differential equations posed in evolving domains, including the consideration of equations …

We introduce a framework for the design of finite element methods for two-dimensional
moving boundary problems with prescribed boundary evolution that have arbitrarily high …

Higher-dimensional models of peatland development are required to analyse the influence
of spatial heterogeneity and complex feedback mechanisms on peatland behaviour …

Higher dimensional models of peatland development are required to analyse the influence
of spatial heterogeneity and complex feedback mechanisms. However, the current models …

We propose a family of methods for simulating two‐dimensional incompressible, low
Reynolds number flow around a moving obstacle whose motion is prescribed. The methods …

A computational framework relying on a non-iterative mesh generation algorithm is
introduced for modeling moving boundary transient diffusion problems, with a special focus …

Mathematical models of peatland development have been employed to analyse peatland
behaviour. However, the existing models of peatland development ignore the mechanical …

The numerical solution of the Stokes equations on an evolving domain with a moving
boundary is studied based on the arbitrary Lagrangian-Eulerian finite element method and a …