Nettet15. sep. 2024 · Interface problems are ubiquitous. Many real-world applications in fracture mechanics, fluid mechanics, and material science involve multiple mediums and can be considered as three-dimensional (3D) interface problems. For mathematicians and computational scientists, partial differential equations (PDEs) are often used to model … NettetAs Claes and Heigele ( 1999) hypothesised fracture healing to be a mainly surface process, we propose a novel approach for modelling fracture healing as a moving-interface problem, tracking the propagation of the bone-healing front throughout the healing process.
A Method of Lines Based on Immersed Finite Elements for …
Nettet1. jan. 2024 · An immersed-interface finite element method [25], [13] was developed to solve elliptic interface problems with non-homogeneous jump conditions. The method considered uniform triangular grids and approximated the interface by a straight line segment when it intersects a coarse grid element. Nettet3. jun. 2015 · A Method of Lines Based on Immersed Finite Elements for Parabolic Moving Interface Problems Published online by Cambridge University Press: 03 June 2015 Tao Lin , Yanping Lin and Xu Zhang Article Metrics Save PDF Share Cite Abstract HTML view is not available for this content. umaine wildlife ecology
The moving interface problem with finite elements - ScienceDirect
Nettet17. feb. 2024 · Due to the derived high accuracy, body-fitted mesh methods have become the most reliable numerical approach for solving unsteady moving domain/interface … Nettet22. feb. 2006 · Abstract. We consider a stationary Stokes problem with a piecewise constant viscosity coefficient. For the variational formulation of this problem we prove a well-posedness result in which the constants are uniform with respect to the jump in the viscosity coefficient. We apply a standard discretization with a pair of LBB stable finite … Nettet9. okt. 2007 · The moving interface problem in a one-dimensional binary α/β diffusion couple is studied using sharp and diffuse interface (Cahn–Hilliard) approaches. With both methods, we calculate the solute field and the Kirkendall marker … umaine wingate hall