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08/25/2023
Stand-alone Multigrid for Helmholtz Revisited: Towards Convergence Using Standard Components
Getting standard multigrid to work efficiently for the high-frequency He...
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08/11/2023
A matrix-free parallel two-level deflation preconditioner for the two-dimensional Helmholtz problems
We propose a matrix-free parallel two-level-deflation preconditioner com...
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08/11/2023
A matrix-free parallel solution method for the three-dimensional heterogeneous Helmholtz equation
The Helmholtz equation is related to seismic exploration, sonar, antenna...
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03/28/2022
Composite Anderson acceleration method with dynamic window-sizes and optimized damping
In this paper, we propose and analyze a set of fully non-stationary Ande...
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02/10/2022
Non-stationary Anderson acceleration with optimized damping
Anderson acceleration (AA) has a long history of use and a strong recent...
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07/12/2021
Combining p-multigrid and multigrid reduced in time methods to obtain a scalable solver for Isogeometric Analysis
Isogeometric Analysis (IgA) has become a viable alternative to the Finit...
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05/25/2021
A preconditioned mixed-FE scheme with stabilized Lagrange multiplier for frictional contact mechanics of crossing fractures in porous media
Simulation of contact mechanics in fractured media is of paramount impor...
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03/31/2021
Inexact subdomain solves using deflated GMRES for Helmholtz problems
We examine the use of a two-level deflation preconditioner combined with...
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01/29/2020
The Role of PDE-Based Parameterization Techniques in Gradient-Based IGA Shape Optimization Applications
This paper proposes a shape optimization algorithm based on the principl...
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05/21/2017