4 papers
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…
Construction of Discontinuous Enrichment Functions for Enriched FEM's for Interface Elliptic Problems in 1D
So-Hsiang Chou, Champike Attanayake
We introduce an enriched unfitted finite element method to solve 1D elliptic interface problems with discontinuous solutions, including those having implicit or Robin-type interfac…
High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions
Champike Attanayake, So-Hsiang Chou, Quanling Deng
Elliptic interface problems whose solutions are continuous have been well studied over the past two decades. The well-known numerical methods include the strongly stable gene…
Flux Recovery and Superconvergence of Quadratic Immersed Interface Finite Elements
So-Hsiang Chou, C. Attanayake
We introduce a flux recovery scheme for the computed solution of a quadratic immersed finite element method. The recovery is done at nodes and interface point first and by interpol…