3 papers
math.NA2026
A family of mixed-mixed strongly conservative finite element methods for Biot's model of consolidation
Qingguo Hong, Johannes Kraus, Maria Lymbery
We consider a four-field formulation of Biot's quasi-static model of consolidation with the (effective) elastic stress, the solid displacement, the fluid flux and the fluid pressur…
math.NA2026
A correction adaptive two-grid finite element method for nonselfadjoint or indefinite elliptic problems
Fei Li, Qingguo Hong, Ming Tang +1
We propose, analyze, and numerically validate a correction adaptive two-grid finite element method (CAT-GFEM) for nonselfadjoint or indefinite elliptic problems. In contrast to the…
math.NA2024
Greedy Algorithm for Neural Networks for Indefinite Elliptic Problems
Qingguo Hong, Jiwei Jia, Young Ju Lee +1
The paper presents a priori error analysis of the shallow neural network approximation to the solution to the indefinite elliptic equation and and cutting-edge implementation of th…