M Phillips, S Kerkemeier, P Fischer - … of the 2022 SIAM Conference on Parallel …, 2022 - SIAM
The Poisson pressure solve resulting from the spectral element discretization of the incompressible Navier-Stokes equation requires fast, robust, and scalable preconditioning …
SI Martynenko, AY Varaksin - Mathematics, 2023 - mdpi.com
This article presents a two-grid approach for developing a black-box iterative solver for a large class of real-life problems in continuum mechanics (heat and mass transfer, fluid …
Sparse matrix representations are ubiquitous in computational science and machine learning, leading to significant reductions in compute time, in comparison to dense …
We present new methods for solving a broad class of bound-constrained nonsmooth composite minimization problems. These methods are specially designed for objectives that …
J Schmitt, S Kuckuk, H Köstler - Genetic Programming and Evolvable …, 2021 - Springer
For many systems of linear equations that arise from the discretization of partial differential equations, the construction of an efficient multigrid solver is challenging. Here we present …
A well‐known strategy for building effective preconditioners for higher‐order discretizations of some PDEs, such as Poisson's equation, is to leverage effective preconditioners for their …
Advanced finite-element discretizations and preconditioners for models of poroelasticity have attracted significant attention in recent years. The equations of poroelasticity offer …
Multigrid methods are popular for solving linear systems derived from discretizing PDEs. Local Fourier analysis (LFA) is a technique for investigating and tuning multigrid methods. P …
In this paper, we investigate a novel monolithic algebraic multigrid solver for the discrete Stokes problem discretized with stable mixed finite elements. The algorithm is based on the …