Hohage, Thorsten; Lehrenfeld, Christoph; Preuß, Janosch Learned infinite elements. (English) Zbl 1477.65218 SIAM J. Sci. Comput. 43, No. 5, A3552-A3579 (2021). MSC: 65N30 65K10 68T05 35L05 35J05 33C10 85A20 85-08 PDFBibTeX XMLCite \textit{T. Hohage} et al., SIAM J. Sci. Comput. 43, No. 5, A3552--A3579 (2021; Zbl 1477.65218) Full Text: DOI arXiv
Song, T.; Scovazzi, G. A Nitsche method for wave propagation problems in time domain. (English) Zbl 1423.35072 Comput. Methods Appl. Mech. Eng. 293, 481-521 (2015). MSC: 35F46 35L50 35Q35 76M10 65M60 PDFBibTeX XMLCite \textit{T. Song} and \textit{G. Scovazzi}, Comput. Methods Appl. Mech. Eng. 293, 481--521 (2015; Zbl 1423.35072) Full Text: DOI
Alexandre, Radjesvarane; Liao, Jie A pseudo-kinetic approach for Helmholtz equation. (English) Zbl 1270.35016 Chin. Ann. Math., Ser. B 34, No. 3, 319-332 (2013). MSC: 35A35 35B65 76P05 35J05 65N15 35Q20 PDFBibTeX XMLCite \textit{R. Alexandre} and \textit{J. Liao}, Chin. Ann. Math., Ser. B 34, No. 3, 319--332 (2013; Zbl 1270.35016) Full Text: DOI
Scovazzi, Guglielmo; Carnes, Brian R. Weak boundary conditions for wave propagation problems in confined domains: formulation and implementation using a variational multiscale method. (English) Zbl 1253.65153 Comput. Methods Appl. Mech. Eng. 221-222, 117-131 (2012). MSC: 65M60 35L10 74S05 74J99 PDFBibTeX XMLCite \textit{G. Scovazzi} and \textit{B. R. Carnes}, Comput. Methods Appl. Mech. Eng. 221--222, 117--131 (2012; Zbl 1253.65153) Full Text: DOI
Acosta, Sebastian; Villamizar, Vianey; Malone, Bruce The DtN nonreflecting boundary condition for multiple scattering problems in the half-plane. (English) Zbl 1253.74043 Comput. Methods Appl. Mech. Eng. 217-220, 1-11 (2012). MSC: 74J20 PDFBibTeX XMLCite \textit{S. Acosta} et al., Comput. Methods Appl. Mech. Eng. 217--220, 1--11 (2012; Zbl 1253.74043) Full Text: DOI arXiv
Nazarov, Sergueï A.; Specovius-Neugebauer, Maria Artificial boundary conditions for the Stokes and Navier-Stokes equations in domains that are layer-like at infinity. (English) Zbl 1144.35044 Z. Anal. Anwend. 27, No. 2, 125-155 (2008). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q30 76D05 35A35 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{M. Specovius-Neugebauer}, Z. Anal. Anwend. 27, No. 2, 125--155 (2008; Zbl 1144.35044) Full Text: DOI Link
Liu, Tianyun; Li, Qingbin The control-theory-based artificial boundary conditions for time-dependent wave guide problems in unbounded domain. (English) Zbl 1114.78008 Commun. Numer. Methods Eng. 21, No. 12, 691-700 (2005). Reviewer: Francisco José Pena Brage (Santiago de Compostela) MSC: 78A50 35L05 93C15 PDFBibTeX XMLCite \textit{T. Liu} and \textit{Q. Li}, Commun. Numer. Methods Eng. 21, No. 12, 691--700 (2005; Zbl 1114.78008) Full Text: DOI
Premrov, Miroslav; Špacapan, Igor Solving exterior problems of wave propagation based on an iterative variation of local DtN operators. (English) Zbl 1288.76065 Appl. Math. Modelling 28, No. 3, 291-304 (2004). MSC: 76M25 76W05 76D33 PDFBibTeX XMLCite \textit{M. Premrov} and \textit{I. Špacapan}, Appl. Math. Modelling 28, No. 3, 291--304 (2004; Zbl 1288.76065) Full Text: DOI
Givoli, Dan; Patlashenko, Igor An optimal high-order non-reflecting finite element scheme for wave scattering problems. (English) Zbl 1007.65093 Int. J. Numer. Methods Eng. 53, No. 10, 2389-2411 (2002). Reviewer: Pavel Burda (Praha) MSC: 65N30 35Q60 78A45 65N15 35J05 78A40 65N12 78M10 PDFBibTeX XMLCite \textit{D. Givoli} and \textit{I. Patlashenko}, Int. J. Numer. Methods Eng. 53, No. 10, 2389--2411 (2002; Zbl 1007.65093) Full Text: DOI
Givoli, Dan High-order nonreflecting boundary conditions without high-order derivatives. (English) Zbl 0984.65115 J. Comput. Phys. 170, No. 2, 849-870 (2001). MSC: 65N30 35J05 65M60 35L05 PDFBibTeX XMLCite \textit{D. Givoli}, J. Comput. Phys. 170, No. 2, 849--870 (2001; Zbl 0984.65115) Full Text: DOI
Han, Houde; Bao, Weizhu Error estimates for the finite element approximation of linear elastic equations in an unbounded domain. (English) Zbl 0997.74060 Math. Comput. 70, No. 236, 1437-1459 (2001). MSC: 74S05 74B05 65N15 65N30 PDFBibTeX XMLCite \textit{H. Han} and \textit{W. Bao}, Math. Comput. 70, No. 236, 1437--1459 (2001; Zbl 0997.74060) Full Text: DOI
Patlashenko, Igor; Givoli, Dan Optimal local nonreflecting boundary conditions for time-dependent waves. (English) Zbl 1360.76151 J. Comput. Acoust. 8, No. 1, 157-170 (2000). MSC: 76M10 65M70 76Q05 PDFBibTeX XMLCite \textit{I. Patlashenko} and \textit{D. Givoli}, J. Comput. Acoust. 8, No. 1, 157--170 (2000; Zbl 1360.76151) Full Text: DOI
Harari, Isaac A unified variational approach to domain-based computation of exterior problems of time-harmonic acoustics. (English) Zbl 0936.76030 Appl. Numer. Math. 27, No. 4, 417-441 (1998). MSC: 76M10 76Q05 76M30 PDFBibTeX XMLCite \textit{I. Harari}, Appl. Numer. Math. 27, No. 4, 417--441 (1998; Zbl 0936.76030) Full Text: DOI
Harari, Isaac; Patlashenko, Igor; Givoli, Dan Dirichlet-to-Neumann maps for unbounded wave guides. (English) Zbl 0928.65140 J. Comput. Phys. 143, No. 1, 200-223 (1998). Reviewer: A.L.Pletea (Iaşi) MSC: 65N30 35J05 76M10 76Q05 PDFBibTeX XMLCite \textit{I. Harari} et al., J. Comput. Phys. 143, No. 1, 200--223 (1998; Zbl 0928.65140) Full Text: DOI