Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

A comparison of techniques for overcoming non‐uniqueness of boundary integral equations for the collocation partition of unity method in two‐dimensional acoustic scattering

G.C. Diwan, J. Trevelyan and G. Coates
International Journal for Numerical Methods in Engineering 96 (10) 645 (2013)
https://doi.org/10.1002/nme.4583

Improvements for the ultra weak variational formulation

T. Luostari, T. Huttunen and P. Monk
International Journal for Numerical Methods in Engineering 94 (6) 598 (2013)
https://doi.org/10.1002/nme.4469

Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell’s equations on Cartesian grids

Eric T. Chung, Patrick Ciarlet and Tang Fei Yu
Journal of Computational Physics 235 14 (2013)
https://doi.org/10.1016/j.jcp.2012.10.019

Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: $hp$ Version

Lingxue Zhu and Haijun Wu
SIAM Journal on Numerical Analysis 51 (3) 1828 (2013)
https://doi.org/10.1137/120874643

Numerical Analysis of Multiscale Problems

S. Esterhazy and J. M. Melenk
Lecture Notes in Computational Science and Engineering, Numerical Analysis of Multiscale Problems 83 285 (2012)
https://doi.org/10.1007/978-3-642-22061-6_9

Overview of the discontinuous enrichment method, the ultra‐weak variational formulation, and the partition of unity method for acoustic scattering in the medium frequency regime and performance comparisons

Dalei Wang, Radek Tezaur, Jari Toivanen and Charbel Farhat
International Journal for Numerical Methods in Engineering 89 (4) 403 (2012)
https://doi.org/10.1002/nme.3239

A stable discontinuous Galerkin-type method for solving efficiently Helmholtz problems

Mohamed Amara, Henri Calandra, Rabia Dejllouli and Magdalena Grigoroscuta-Strugaru
Computers & Structures 106-107 258 (2012)
https://doi.org/10.1016/j.compstruc.2012.05.007

The Ultra Weak Variational Formulation Using Bessel Basis Functions

Teemu Luostari, Tomi Huttunen and Peter Monk
Communications in Computational Physics 11 (2) 400 (2012)
https://doi.org/10.4208/cicp.121209.040111s

Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version

R. Hiptmair, A. Moiola and I. Perugia
SIAM Journal on Numerical Analysis 49 (1) 264 (2011)
https://doi.org/10.1137/090761057

Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation

J. M. Melenk and S. Sauter
SIAM Journal on Numerical Analysis 49 (3) 1210 (2011)
https://doi.org/10.1137/090776202

Plane wave approximation of homogeneous Helmholtz solutions

A. Moiola, R. Hiptmair and I. Perugia
Zeitschrift für angewandte Mathematik und Physik 62 (5) 809 (2011)
https://doi.org/10.1007/s00033-011-0147-y

A comparison of wave‐based discontinuous Galerkin, ultra‐weak and least‐square methods for wave problems

G. Gabard, P. Gamallo and T. Huttunen
International Journal for Numerical Methods in Engineering 85 (3) 380 (2011)
https://doi.org/10.1002/nme.2979

Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension

Jelena Popovic and Olof Runborg
BIT Numerical Mathematics 51 (3) 721 (2011)
https://doi.org/10.1007/s10543-011-0315-7

Local-Structure-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations

Wei Guo, Fengyan Li and Jianxian Qiu
Journal of Scientific Computing 47 (2) 239 (2011)
https://doi.org/10.1007/s10915-010-9434-6

A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates

S. Britt, S. Tsynkov and E. Turkel
Journal of Scientific Computing 45 (1-3) 26 (2010)
https://doi.org/10.1007/s10915-010-9348-3

Smoothed aggregation for Helmholtz problems

Luke N. Olson and Jacob B. Schroder
Numerical Linear Algebra with Applications 17 (2-3) 361 (2010)
https://doi.org/10.1002/nla.686

Domain Decomposition Methods in Science and Engineering XVIII

Ralf Hiptmair and Ilaria Perugia
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XVIII 70 51 (2009)
https://doi.org/10.1007/978-3-642-02677-5_5