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06/26/2023
Subspace Recycling for Sequences of Shifted Systems with Applications in Image Recovery
For many applications involving a sequence of linear systems with slowly...
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05/18/2023
Stopping Criteria for the Conjugate Gradient Algorithm in High-Order Finite Element Methods
We introduce three new stopping criteria that balance algebraic and disc...
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10/21/2022
Analysis of GMRES for Low-Rank and Small-Norm Perturbations of the Identity Matrix
In many applications, linear systems arise where the coefficient matrix ...
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04/21/2022
Parametric Level-sets Enhanced To Improve Reconstruction (PaLEnTIR)
In this paper, we consider the restoration and reconstruction of piecewi...
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07/12/2021
Efficient edge-preserving methods for dynamic inverse problems
We consider efficient methods for computing solutions to dynamic inverse...
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10/22/2020
Krylov Subspace Recycling for Evolving Structures
Krylov subspace recycling is a powerful tool for solving long series of ...
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07/12/2020
Randomization for the Efficient Computation of Parametric Reduced Order Models for Inversion
Nonlinear parametric inverse problems appear in many applications. Here,...
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07/01/2020
Hybrid Projection Methods with Recycling for Inverse Problems
Iterative hybrid projection methods have proven to be very effective for...
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03/24/2020
Robust Parameter Inversion using Adaptive Reduced Order Models
Nonlinear parametric inverse problems appear in many applications and ar...
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01/28/2020