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1.Iterative Tikhonov regularization for the Cauchy problem for the Helmholtz equation

作者：F. Berntsson^a ; ^{fredrik.berntsson@liu.se} ; V.A. Kozlov^a ; L. Mpinganzima^b ; B.O. Turesson^a

关键词：Helmholtz equation ; Cauchy problem ; Adjoint method ; Inverse problem ; Ill-posed problem ; Tikhonov regularization

刊名：Computers & Mathematics with Applications

出版年：2017

2.A symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation

作者：H. Barucq^b ; ^a ; ^{helene.barucq@inria.fr} ; A. Bendali^d ; ^c ; ^{abendali@insa-toulouse.fr} ; M. Fares^c ; ^{fares@cerfacs.fr} ; V. Mattesi^b ; ^a ; ^c ; ^{vanessa.mattesi@inria.fr} ; S. Tordeux^b ; ^a ; ^c ; ^{sebastien.tordeux@inria.fr}

关键词：Helmholtz equation ; Pollution effect ; Dispersion ; Trefftz method ; Discontinuous Galerkin method ; Boundary element method

刊名：Journal of Computational Physics

出版年：2017

3.Linearization of wave equations

作者：Sameen Ahmed Khan ^{rohelakhan@yahoo.com}

关键词：Linearization ; Klein&ndash ; Gordon equation ; Feshbach&ndash ; Villars linearization procedure ; Helmholtz equation ; Matrix representation of Maxwell's equations ; Helmholtz optics ; Maxwell optics ; Charged-particle beam optics ; Wavelength-dependent effects

刊名：Optik - International Journal for Light and Electron Optics

出版年：2017

4.Solving Helmholtz equation at high wave numbers in exterior domains

作者：Kun Wang ; ^a ; ^b ; ^{wk580@163.com} ; ^{kun5@ualberta.ca} ; Yau Shu Wong^b ; ^{yauwong@ualberta.ca} ; Jizu Huang^c ; ^{huangjz@lsec.cc.ac.cn}

关键词：Helmholtz equation ; High wave number ; Local refinement ; Polar and spherical coordinates ; Pollution-free scheme

刊名：Applied Mathematics and Computation

出版年：2017

5.The Fourier-Bessel method for solving the Cauchy problem connected with the Helmholtz equation

作者：Minghui Liu^a ; ^{lmh09@mails.jlu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; ^{liuminghuime@163.com" class="auth_mail" title="E-mail the corresponding author} ; Deyue Zhang^b ; Xu Zhou^c ; Feng Liu^a

关键词：Cauchy problem ; Helmholtz equation ; Fourier&ndash ; Bessel expansion ; Truncated SVD ; No meshing

刊名：Journal of Computational and Applied Mathematics

出版年：2017

6.A numerical approximation of the two-dimensional elastic wave scattering problem via integral equation method

作者：Zewen Wang ; ^{zwwang@ecit.cn} ; ^{zwwang6@163.com} ; Shufang Qiu ^{shfqiu@ecit.cn}

关键词：Elastic scattering problem ; Helmholtz equation ; Ill-posed problem ; Tikhonov regularization ; Integral equation

刊名：Applied Numerical Mathematics

出版年：2017

7.Numerical investigation of the edge-based gradient smoothing technique for exterior Helmholtz equation in two dimensions

作者：Wei Li^a ; ^b ; ^c ; Yingbin Chai^a ; ^{cybhust@hust.edu.cn} ; Ming Lei^a ; Tianyun Li^a ; ^b ; ^c

关键词：Edge-based gradient smoothing technique (E-GST) ; Infinite domain ; Exterior Helmholtz equation ; Acoustic scattering ; Finite element method (FEM)

刊名：Computers & Structures

出版年：2017

8.Calculation of HVAC inductive coupling using a generalized BEM for Helmholtz equations in unbounded regions

作者：Bram Schoonjans ; ^{bram.schoonjans@vub.ac.be" class="auth_mail" title="E-mail the corresponding author} ; Johan Deconinck

关键词：Boundary element method ; HVAC ; Electromagnetics ; Unbounded media ; Skin depth ; Maxwell equations ; Inductive coupling

刊名：International Journal of Electrical Power & Energy Systems

出版年：2017

9.A fast and well-conditioned spectral method for singular integral equations

作者：Richard Mikael Slevinsky^a ; ^{Richard.Slevinsky@umanitoba.ca} ; Sheehan Olver^b ; ^{Sheehan.Olver@sydney.edu.au}

关键词：Spectral method ; Ultraspherical polynomials ; Singular integral equations

刊名：Journal of Computational Physics

出版年：2017

10.An efficient implementation of a high-order filter for a cubed-sphere spectral element model

作者：Hyun-Gyu Kang ; Hyeong-Bin Cheong ; ^{hbcheong@pknu.ac.kr}

关键词：Cubed-sphere grid ; Spectral element method ; High-order filter ; Helmholtz equation ; Shallow water equation

刊名：Journal of Computational Physics

出版年：2017

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