65 citations · 178 across the 11 of their papers we have counts for
4 papers · 1 filter
Constrained high-index saddle dynamics for the solution landscape with equality constraints
Jianyuan Yin, Zhen Huang, Lei Zhang
We propose a constrained high-index saddle dynamics (CHiSD) method to search for index- saddle points of an energy functional subject to equality constraints. With Riemannian ma…
A discretize-then-map approach for the treatment of parameterized geometries in model order reduction
Tommaso Taddei, Lei Zhang
We present a general approach for the treatment of parameterized geometries in projection-based model order reduction. During the offline stage, given (i) a family of parameterized…
Blended Ghost Force Correction Method for 3D Crystalline Defects
Lidong Fang, Lei Zhang
Atomistic/continuum coupling method is a class of multiscale computational method for the efficient simulation of crystalline defects. The recently developed blended ghost force co…
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs
Tommaso Taddei, Lei Zhang
We propose a model reduction procedure for rapid and reliable solution of parameterized hyperbolic partial differential equations. Due to the presence of parameter-dependent shock…