63 citations · 308 across the 48 of their papers we have counts for
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A Multilevel Block Preconditioner for the HDG Trace System Applied to Incompressible Resistive MHD
Sriramkrishnan Muralikrishnan, Stephen Shannon, Tan Bui-Thanh +1
We present a scalable block preconditioning strategy for the trace system coming from the high-order hybridized discontinuous Galerkin (HDG) discretization of incompressible resist…
A scalable exponential-DG approach for nonlinear conservation laws: with application to Burger and Euler equations
Shinhoo Kang, Tan Bui-Thanh
We propose an Exponential DG approach for numerically solving partial differential equations (PDEs). The idea is to decompose the governing PDE operators into linear (fast dynamics…
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs
Ilona Ambartsumyan, Wajih Boukaram, Tan Bui-Thanh +5
Hessian operators arising in inverse problems governed by partial differential equations (PDEs) play a critical role in delivering efficient, dimension-independent convergence for…