5 papers
Raviart--Thomas Elements with Geometric Correction for Distorted Quadrilateral Meshes
So-Hsiang Chou
Mixed finite element methods based on Raviart--Thomas spaces are widely used for the numerical approximation of second--order elliptic problems in flux form. On quadrilateral meshe…
A Trace-Based Interface Reduction Method for Highly Conducting Interfaces
So-Hsiang Chou, Do Young Kwak
We develop a reduced interface formulation for elliptic interface problems with highly conducting interfaces. The interface condition consists of continuity of the primal variable…
A scalar interface reduction for nonlinear interface problems
So-Hsiang Chou
We study finite element approximations of elliptic and parabolic interface problems with discontinuous coefficients and nonlinear jump conditions. We introduce a scalar interface r…
A Lifting-Based Interface Reduction Framework for Nonlinear Transmission and Eigenvalue Problems
So-Hsiang Chou
We present a lifting-based interface reduction framework for nonlinear transmission and eigenvalue problems. The method represents the solution as a sum of a bulk component and a l…
Interface Reduction for Elliptic Interface Problems with Conservative Flux Reconstruction
C. Attanayake, So-Hsiang Chou
We propose a low-dimensional interface reduction method for elliptic interface problems based on conservative flux reconstruction. The approach combines a fitted finite eleme…