5 citations · 14 across the 10 of their papers we have counts for
5 papers · 1 filter
Space-Fractional Diffusion with Variable Order and Diffusivity: Discretization and Direct Solution Strategies
Hasnaa Alzahrani, George Turkiyyah, Omar Knio +1
We consider the multidimensional space-fractional diffusion equations with spatially varying diffusivity and fractional order. Significant computational challenges are encountered…
High-Performance Partial Spectrum Computation for Symmetric eigenvalue problems and the SVD
D. Keyes, H. Ltaief, Y. Nakatsukasa +1
Current dense symmetric eigenvalue (EIG) and singular value decomposition (SVD) implementations may suffer from the lack of concurrency during the tridiagonal and bidiagonal reduct…
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…
On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navier-Stokes equations
Diego Rojas, Radouan Boukharfane, Lisandro Dalcin +4
In computational fluid dynamics, the demand for increasingly multidisciplinary reliable simulations, for both analysis and design optimization purposes, requires transformational a…
Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability
Alexander Litvinenko, Dmitry Logashenko, Raul Tempone +2
As groundwater is an essential nutrition and irrigation resource, its pollution may lead to catastrophic consequences. Therefore, accurate modeling of the pollution of the soil and…