Reference health
A rapidly converging domain decomposition method for the Helmholtz equation
17/17 checkable references clean · checked 2026-07-24
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
8 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 17 checked references that resolve
resolves10.1016/j.jcp.2007.04.017
Domain decomposition method for Maxwell’s equations: Scattering off periodic structures
resolves10.1137/100804644
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
resolves10.1016/S0045-7825(99)00228-5
Domain decomposition method for harmonic wave propagation: a general presentation
resolves10.1006/jcph.1997.5742
A Domain Decomposition Method for the Helmholtz Equation and Related Optimal Control Problems
resolves10.1137/S1064827501387012
Optimized Schwarz Methods without Overlap for the Helmholtz Equation
resolves10.1002/fld.1433
An optimized Schwarz method with two‐sided Robin transmission conditions for the Helmholtz equation
resolves10.1016/j.jcp.2011.08.007
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation
resolves10.1007/s11831-007-9013-7
Advances in Iterative Methods and Preconditioners for the Helmholtz Equation
resolves10.1111/j.1365-2478.2011.00982.x
On 3D modeling of seismic wave propagation via a structured parallel multifrontal direct Helmholtz solver
resolves10.1137/080725702
Algebraic Multilevel Preconditioner for the Helmholtz Equation in Heterogeneous Media
resolves10.1002/mop.4650071304
A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates
resolves10.1137/S0895479899358194
A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
The 8 references without a DOI — listed, not checked
no DOI — not checkedDomain decomposition method and the Helmholtz problem
no DOI — not checkedDécomposition de domaine et problème de Helmholtz
no DOI — not checkedSome numerical method of solving Helmholtz wave equation
no DOI — not checkedF. Nataf, F. Rogier, E. de Sturler, Optimal interface conditions for domain decomposition methods, Technical Report 301, Ecole Polytechnique, CMAP, 1994.
no DOI — not checkedA. Toselli, Some results on overlapping Schwarz methods for the Helmholtz equation employing perfectly matched layers, Technical Report 765, New York University, 1998. <Cs.nyu.edu/web/Research/TechReports/TR1998-765/TR1998-765.pdf>.
no DOI — not checkedWhy it is difficult to solve Helmholtz problems with classical iterative methods?
no DOI — not checkedS.G. Johnson, Notes on perfectly matched layers, 2010. <http://math.mit.edu/stevenj/18.369/pml.pdf>.
no DOI — not checkedJ. Poulson, B. Engquist, S. Fomel, S. Li, L. Ying, A parallel sweeping preconditioner for high-frequency heterogeneous 3-D Helmholtz equations, Technical Report, University of Texas at Austin, 2012. <http://www.math.utexas.edu/users/lexing/publications/parallelsweeping.pdf>.
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