2 papers
math.NA2025
Nonlocal modeling of spatial fractional diffusion with truncated interaction domains and truncated kernel function singularity
Shiping Zhou, Yanzhi Zhang, Max Gunzburger
Parabolic partial differential equations (PDEs) are in ubiquitous, very effective use to model diffusion processes. However, there are many applications (e.g., such as in hydrology…
math.NA2017
An Optimally Convergent Coupling Approach for Interface Problems Approximated with Higher-Order Finite Elements
Pavel Bochev, James Cheung, Max Gunzburger +1
In this paper, we present a new numerical method for determining the numerical solution of interface problems to optimal accuracy with respect to the polynomial order of the Lagran…