Victorita Dolean

Orcid: 0000-0002-5885-1903

According to our database1, Victorita Dolean authored at least 53 papers between 2004 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states.
Numerische Mathematik, August, 2024

ELM-FBPINN: efficient finite-basis physics-informed neural networks.
CoRR, 2024

Two-level deep domain decomposition method.
CoRR, 2024

Schwarz preconditioner with H<sub>k</sub>-GenEO coarse space for the indefinite Helmholtz problem.
CoRR, 2024

Two-level Nonlinear Preconditioning Methods for Flood Models Posed on Perforated Domains.
CoRR, 2024

Improvements to the theoretical estimates of the Schwarz preconditioner with Δ-GenEO coarse space for the indefinite Helmholtz problem.
CoRR, 2024

2023
Travel times and ray paths for acoustic and elastic waves in generally anisotropic media.
J. Comput. Phys., December, 2023

Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains.
SIAM J. Sci. Comput., April, 2023

A robust and adaptive GenEO-type domain decomposition preconditioner for H(curl) problems in general non-convex three-dimensional geometries.
CoRR, 2023

Numerical Modeling for Shoulder Injury Detection Using Microwave Imaging.
CoRR, 2023

Robust Methods for Multiscale Coarse Approximations of Diffusion Models in Perforated Domains.
CoRR, 2023

Multilevel Scalable Solvers for Stochastic Linear and Nonlinear Problems.
CoRR, 2023

Multilevel domain decomposition-based architectures for physics-informed neural networks.
CoRR, 2023

2022
Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation.
CoRR, 2022

A Trefftz-like coarse space for the two-level Schwarz method on perforated domains.
CoRR, 2022

Finite basis physics-informed neural networks as a Schwarz domain decomposition method.
CoRR, 2022

Solution of time-harmonic Maxwell's equations by a domain decomposition method based on PML transmission conditions.
CoRR, 2022

Scalable Computational Algorithms for Geo-spatial Covid-19 Spread in High Performance Computing.
CoRR, 2022

Are spectral coarse spaces sufficiently robust for heterogeneous Helmholtz problems?
CoRR, 2022

2021
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems.
CoRR, 2021

Inexact subdomain solves using deflated GMRES for Helmholtz problems.
CoRR, 2021

GenEO coarse spaces for heterogeneous indefinite elliptic problems.
CoRR, 2021

Optimizing transmission conditions for multiple subdomains in the Magnetotelluric Approximation of Maxwell's equations.
CoRR, 2021

Several ways to achieve robustness when solving wave propagation problems.
CoRR, 2021

A comparison of coarse spaces for Helmholtz problems in the high frequency regime.
Comput. Math. Appl., 2021

2020
Natural Domain Decomposition Algorithms for the Solution of Time-Harmonic Elastic Waves.
SIAM J. Sci. Comput., 2020

Two-level DDM preconditioners for positive Maxwell equations.
CoRR, 2020

Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices.
CoRR, 2020

Iterative frequency-domain seismic wave solvers based on multi-level domain-decomposition preconditioners.
CoRR, 2020

2019
Microwave tomographic imaging of cerebrovascular accidents by using high-performance computing.
Parallel Comput., 2019

Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption.
Math. Comput., 2019

Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem.
Comput. Methods Appl. Math., 2019

On the Dirichlet-to-Neumann Coarse Space for Solving the Helmholtz Problem Using Domain Decomposition.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2018
An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations.
Comput. Math. Appl., 2018

2017
Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations.
CoRR, 2017

2016
Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method.
SIAM J. Sci. Comput., 2016

2015
Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations.
J. Comput. Phys., 2015

Addendum to "A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator" [J. Comput. Appl. Math. (2014) 83-99].
J. Comput. Appl. Math., 2015

An introduction to domain decomposition methods - algorithms, theory, and parallel implementation.
SIAM, ISBN: 978-1-611-97405-8, 2015

2014
Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps.
Numerische Mathematik, 2014

A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator.
J. Comput. Appl. Math., 2014

2013
A Two-Level Schwarz Preconditioner for Heterogeneous Problems.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Symbolic Techniques for Domain Decomposition Methods.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Comparison of a One and Two Parameter Family of Transmission Conditions for Maxwell's Equations with Damping.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

2012
Optimized Schwarz Methods for the Time-Harmonic Maxwell Equations with Damping.
SIAM J. Sci. Comput., 2012

High performance domain decomposition methods on massively parallel architectures with freefem++.
J. Num. Math., 2012

Analysis of a Two-level Schwarz Method with Coarse Spaces Based on Local Dirichlet-to-Neumann Maps.
Comput. Methods Appl. Math., 2012

2011
A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps.
SIAM J. Sci. Comput., 2011

2010
Locally implicit discontinuous Galerkin method for time domain electromagnetics.
J. Comput. Phys., 2010

2009
Optimized Schwarz Methods for Maxwell's Equations.
SIAM J. Sci. Comput., 2009

Deriving a new domain decomposition method for the Stokes equations using the Smith factorization.
Math. Comput., 2009

2008
A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods.
J. Comput. Phys., 2008

2004
Parallel multigrid methods for the calculation of unsteady flows on unstructured grids: algorithmic aspects and parallel performances on clusters of PCs.
Parallel Comput., 2004


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