Kim, Seungil Hybrid absorbing boundary conditions of PML and CRBC. (English) Zbl 07389251 J. Comput. Appl. Math. 399, Article ID 113713, 17 p. (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 78A40 78A45 78M10 35J05 35A01 35A02 PDF BibTeX XML Cite \textit{S. Kim}, J. Comput. Appl. Math. 399, Article ID 113713, 17 p. (2022; Zbl 07389251) Full Text: DOI OpenURL
Kim, Seungil; Zhang, Hui Convergence analysis of the continuous and discrete non-overlapping double sweep domain decomposition method based on PMLs for the Helmholtz equation. (English) Zbl 07408892 J. Sci. Comput. 89, No. 2, Paper No. 37, 45 p. (2021). MSC: 65N55 65N30 65N12 35J05 PDF BibTeX XML Cite \textit{S. Kim} and \textit{H. Zhang}, J. Sci. Comput. 89, No. 2, Paper No. 37, 45 p. (2021; Zbl 07408892) Full Text: DOI OpenURL
Papadimitropoulos, Symeon; Givoli, Dan The double absorbing boundary method for the Helmholtz equation. (English) Zbl 1469.74104 Appl. Numer. Math. 168, 182-200 (2021). MSC: 74S05 74S25 74J05 65M12 65M15 PDF BibTeX XML Cite \textit{S. Papadimitropoulos} and \textit{D. Givoli}, Appl. Numer. Math. 168, 182--200 (2021; Zbl 1469.74104) Full Text: DOI OpenURL
Kirby, Robert C.; Klöckner, Andreas; Sepanski, Ben Finite elements for Helmholtz equations with a nonlocal boundary condition. (English) Zbl 1472.65146 SIAM J. Sci. Comput. 43, No. 3, A1671-A1691 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N80 65F08 65F10 PDF BibTeX XML Cite \textit{R. C. Kirby} et al., SIAM J. Sci. Comput. 43, No. 3, A1671--A1691 (2021; Zbl 1472.65146) Full Text: DOI arXiv OpenURL
Villamizar, Vianey; Grundvig, Dane; Rojas, Otilio; Acosta, Sebastian High order methods for acoustic scattering: coupling farfield expansions ABC with deferred-correction methods. (English) Zbl 07206041 Wave Motion 95, Article ID 102529, 24 p. (2020). MSC: 65-XX 78-XX PDF BibTeX XML Cite \textit{V. Villamizar} et al., Wave Motion 95, Article ID 102529, 24 p. (2020; Zbl 07206041) Full Text: DOI arXiv OpenURL
Kim, Seungil Fractional order Sobolev spaces for the Neumann Laplacian and the vector Laplacian. (English) Zbl 1453.46030 J. Korean Math. Soc. 57, No. 3, 721-745 (2020). MSC: 46E35 46B70 PDF BibTeX XML Cite \textit{S. Kim}, J. Korean Math. Soc. 57, No. 3, 721--745 (2020; Zbl 1453.46030) Full Text: DOI OpenURL
Kim, Seungil Application of a complete radiation boundary condition for the Helmholtz equation in locally perturbed waveguides. (English) Zbl 1428.78021 J. Comput. Appl. Math. 367, Article ID 112458, 24 p. (2020). MSC: 78A50 78A40 35J05 78M10 65N30 35Q60 65N12 PDF BibTeX XML Cite \textit{S. Kim}, J. Comput. Appl. Math. 367, Article ID 112458, 24 p. (2020; Zbl 1428.78021) Full Text: DOI OpenURL
Kim, Seungil Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides. (English) Zbl 1455.78014 ESAIM, Math. Model. Numer. Anal. 53, No. 4, 1191-1222 (2019). Reviewer: Roland Pulch (Greifswald) MSC: 78M10 78A50 65N12 65N15 65N30 35J05 PDF BibTeX XML Cite \textit{S. Kim}, ESAIM, Math. Model. Numer. Anal. 53, No. 4, 1191--1222 (2019; Zbl 1455.78014) Full Text: DOI OpenURL
Kim, Seungil; Zhang, Hui Optimized double sweep Schwarz method by complete radiation boundary conditions. (English) Zbl 1359.65291 Comput. Math. Appl. 72, No. 6, 1573-1589 (2016). MSC: 65N55 65N30 35J05 PDF BibTeX XML Cite \textit{S. Kim} and \textit{H. Zhang}, Comput. Math. Appl. 72, No. 6, 1573--1589 (2016; Zbl 1359.65291) Full Text: DOI OpenURL
Kim, Seungil; Zhang, Hui Optimized Schwarz method with complete radiation transmission conditions for the Helmholtz equation in waveguides. (English) Zbl 1327.78025 SIAM J. Numer. Anal. 53, No. 3, 1537-1558 (2015). Reviewer: Georg Hebermehl (Berlin) MSC: 78M25 78A50 76Q05 65N55 65F08 65F10 35J05 65Y05 PDF BibTeX XML Cite \textit{S. Kim} and \textit{H. Zhang}, SIAM J. Numer. Anal. 53, No. 3, 1537--1558 (2015; Zbl 1327.78025) Full Text: DOI OpenURL
Kim, Seungil Analysis of the convected Helmholtz equation with a uniform mean flow in a waveguide with complete radiation boundary conditions. (English) Zbl 1316.35094 J. Math. Anal. Appl. 410, No. 1, 275-291 (2014). MSC: 35J05 PDF BibTeX XML Cite \textit{S. Kim}, J. Math. Anal. Appl. 410, No. 1, 275--291 (2014; Zbl 1316.35094) Full Text: DOI OpenURL