135 citations · 219 across the 18 of their papers we have counts for
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math.NA2018
Rank adaptive tensor recovery based model reduction for partial differential equations with high-dimensional random inputs
Kejun Tang, Qifeng Liao
This work proposes a systematic model reduction approach based on rank adaptive tensor recovery for partial differential equation (PDE) models with high-dimensional random paramete…
math.NA2018★ 20 cited
An adaptive reduced basis ANOVA method for high-dimensional Bayesian inverse problems
Qifeng Liao, Jinglai Li
In Bayesian inverse problems sampling the posterior distribution is often a challenging task when the underlying models are computationally intensive. To this end, surrogates or re…
math.NA2018
Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization
Shengfeng Zhu, Xianliang Hu
Numerical computation of shape gradients from Eulerian derivatives is essential to wildly used gradient type methods in shape optimization. Boundary type Eulerian derivatives are p…