A review on deep learning in medical image reconstruction

HM Zhang, B Dong - Journal of the Operations Research Society of China, 2020 - Springer
Medical imaging is crucial in modern clinics to provide guidance to the diagnosis and
treatment of diseases. Medical image reconstruction is one of the most fundamental and …

[KNYGA][B] Finite elements II

A Ern, JL Guermond - 2021 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

ReLU deep neural networks and linear finite elements

J He, L Li, J Xu, C Zheng - ar** an adaptive isogeometric method (AIGM) for solving elliptic
second-order partial differential equations with truncated hierarchical B-splines of arbitrary …

On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H 1-Stability of L 2-Projection

M Karkulik, D Pavlicek, D Praetorius - Constructive Approximation, 2013 - Springer
Newest vertex bisection (NVB) is a popular local mesh-refinement strategy for regular
triangulations that consist of simplices. For the 2D case, we prove that the mesh-closure step …

Adaptive finite element methods

A Bonito, C Canuto, RH Nochetto, A Veeser - Acta Numerica, 2024 - cambridge.org
This is a survey of the theory of adaptive finite element methods (AFEMs), which are
fundamental to modern computational science and engineering but whose mathematical …