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08/29/2021
Space-Fractional Diffusion with Variable Order and Diffusivity: Discretization and Direct Solution Strategies
We consider the multidimensional space-fractional diffusion equations wi...
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08/26/2021
H2OPUS-TLR: High Performance Tile Low Rank Symmetric Factorizations using Adaptive Randomized Approximation
Tile low rank representations of dense matrices partition them into bloc...
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12/27/2020
Energy-conserving 3D elastic wave simulation with finite difference discretization on staggered grids with nonconforming interfaces
In this work, we describe an approach to stably simulate the 3D isotropi...
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06/18/2020
Explicit coupling of acoustic and elastic wave propagation in finite difference simulations
We present a mechanism to explicitly couple the finite-difference discre...
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03/23/2020
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs
Hessian operators arising in inverse problems governed by partial differ...
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05/31/2019
Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability
As groundwater is an essential nutrition and irrigation resource, its po...
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05/06/2019
Propagation of Uncertainties in Density-Driven Flow
Accurate modeling of contamination in subsurface flow and water aquifers...
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03/27/2018
Extreme Scale FMM-Accelerated Boundary Integral Equation Solver for Wave Scattering
Algorithmic and architecture-oriented optimizations are essential for ac...
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09/08/2017