456 citations · 525 across the 15 of their papers we have counts for
7 papers · 1 filter
BDDC preconditioners for virtual element approximations of the three-dimensional Stokes equations
Tommaso Bevilacqua, Franco Dassi, Stefano Zampini +1
The Virtual Element Method (VEM) is a novel family of numerical methods for approximating partial differential equations on very general polygonal or polyhedral computational grids…
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…
Optimized geometrical metrics satisfying free-stream preservation
Irving Reyna Nolasco, Lisandro Dalcin, David C. Del Rey Fernandez +2
Computational fluid dynamics and aerodynamics, which complement more expensive empirical approaches, are critical for developing aerospace vehicles. During the past three decades,…
Entropy Stable h/p-Nonconforming Discretization with the Summation-by-Parts Property for the Compressible Euler and Navier-Stokes Equations
David C. Del Rey Fernandez, Mark H. Carpenter, Lisandro Dalcin +2
In this paper, the entropy conservative/stable algorithms presented by Del Rey Fernandez and coauthors [18,16,17] for the compressible Euler and Navier-Stokes equations on nonconfo…
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations
D. C. Del Rey Fernandez, M. H. Carpenter, L. Dalcin +6
The entropy conservative/stable algorithm of Friedrich~\etal (2018) for hyperbolic conservation laws on nonconforming p-refined/coarsened Cartesian grids, is extended to curvilinea…
Conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations: Adiabatic wall and heat entropy transfer
Lisandro Dalcin, Diego B. Rojas, Stefano Zampini +3
We present a novel technique for the imposition of non-linear entropy conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations in…
Parallel accelerated cyclic reduction preconditioner for three-dimensional elliptic PDEs with variable coefficients
Gustavo Chávez, George Turkiyyah, Stefano Zampini +1
We present a robust and scalable preconditioner for the solution of large-scale linear systems that arise from the discretization of elliptic PDEs amenable to rank compression. The…