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All issues ESAIM: M2AN, 52 5 (2018) 1803-1845 Article references

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Cited article:

The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains

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IMA Journal of Numerical Analysis (2025)
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Wavenumber-explicit stability and convergence analysis of ℎ𝑝 finite element discretizations of Helmholtz problems in piecewise smooth media

M. Bernkopf, T. Chaumont-Frelet and J. Melenk
Mathematics of Computation 94 (351) 73 (2024)
https://doi.org/10.1090/mcom/3958

Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves

Jeffrey Galkowski, David Lafontaine and Euan A Spence
IMA Journal of Numerical Analysis 44 (4) 1946 (2024)
https://doi.org/10.1093/imanum/drad058

An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation

Théophile Chaumont-Frelet and Serge Nicaise
Computational Methods in Applied Mathematics 23 (4) 899 (2023)
https://doi.org/10.1515/cmam-2022-0126

Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method

J. Galkowski, D. Lafontaine, E. A. Spence and J. Wunsch
SIAM Journal on Mathematical Analysis 55 (4) 3903 (2023)
https://doi.org/10.1137/21M1409160

A New Perfectly Matched Layer Method for the Helmholtz Equation in Nonconvex Domains

Buyang Li, Yonglin Li and Weiying Zheng
SIAM Journal on Applied Mathematics 83 (2) 666 (2023)
https://doi.org/10.1137/22M1482524

Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect?

J. Galkowski and E. A. Spence
SIAM Review 65 (3) 806 (2023)
https://doi.org/10.1137/22M1474199

Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients

D. Lafontaine, E.A. Spence and J. Wunsch
Computers & Mathematics with Applications 113 59 (2022)
https://doi.org/10.1016/j.camwa.2022.03.007

Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions

Hongyu Liu and Chun-Hsiang Tsou
Calculus of Variations and Partial Differential Equations 61 (3) (2022)
https://doi.org/10.1007/s00526-022-02211-w

Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems

Shihua Gong, Ivan Graham and Euan Spence
Mathematics of Computation 92 (339) 175 (2022)
https://doi.org/10.1090/mcom/3772

Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations

Théophile Chaumont-Frelet and Patrick Vega
SIAM Journal on Numerical Analysis 60 (4) 1774 (2022)
https://doi.org/10.1137/21M1421805

On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation

T. Chaumont-Frelet, A. Ern and M. Vohralík
Numerische Mathematik 148 (3) 525 (2021)
https://doi.org/10.1007/s00211-021-01192-w

For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering

David Lafontaine, Euan A. Spence and Jared Wunsch
Communications on Pure and Applied Mathematics 74 (10) 2025 (2021)
https://doi.org/10.1002/cpa.21932

On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications

Huaian Diao, Xinlin Cao and Hongyu Liu
Communications in Partial Differential Equations 46 (4) 630 (2021)
https://doi.org/10.1080/03605302.2020.1857397

A Multiscale Hybrid-Mixed Method for the Helmholtz Equation in Heterogeneous Domains

Théophile Chaumont-Frelet and Frédéric Valentin
SIAM Journal on Numerical Analysis 58 (2) 1029 (2020)
https://doi.org/10.1137/19M1255616

Singular enrichment functions for Helmholtz scattering at corner locations using the boundary element method

B. Gilvey, J. Trevelyan and G. Hattori
International Journal for Numerical Methods in Engineering 121 (3) 519 (2020)
https://doi.org/10.1002/nme.6232

h- and p-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics

Javier Videla, Cosmin Anitescu, Tahsin Khajah, Stéphane P.A. Bordas and Elena Atroshchenko
Computers & Mathematics with Applications 77 (9) 2369 (2019)
https://doi.org/10.1016/j.camwa.2018.12.026