2 papers
math.NA2024
Adaptive Finite Element Method for a Nonlinear Helmholtz Equation with High Wave Number
Run Jiang, Haijun Wu, Yifeng Xu +1
A nonlinear Helmholtz (NLH) equation with high frequencies and corner singularities is discretized by the linear finite element method (FEM). After deriving some wave-number-explic…
math.OC2024
An Adaptive Phase-Field Method for Structural Topology Optimization
Bangti Jin, Jing Li, Yifeng Xu +1
In this work, we develop an adaptive algorithm for the efficient numerical solution of the minimum compliance problem in topology optimization. The algorithm employs the phase fiel…