25 citations · 47 across the 12 of their papers we have counts for
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math.NA2019★ 1 cited
Superconvergence of differential structure for finite element methods on perturbed surface meshes
Guozhi Dong, Hailong Guo, Ting Guo
Superconvergence of differential structure on discretized surfaces is studied in this paper. The newly introduced geometric supercloseness provides us with a fundamental tool to pr…
math.AP2019★ 14 cited
A class of second-order geometric quasilinear hyperbolic PDEs and their application in imaging science
Guozhi Dong, Michael Hintermüller, Ye Zhang
Motivated by important applications in image processing, we study a class of second-order geometric quasilinear hyperbolic partial differential equations (PDEs). This is inspired b…
math.OC2019
Quantitative Magnetic Resonance Imaging: From Fingerprinting to Integrated Physics-Based Models
Guozhi Dong, Michael Hintermüller, Kostas Papafitsoros
Quantitative magnetic resonance imaging (qMRI) is concerned with estimating (in physical units) values of magnetic and tissue parameters e.g., relaxation times , , or pro…