A simple Trefftz method for solving the Cauchy problems of three-dimensional Helmholtz equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2015.11.009 ◽

2016 ◽

Vol 63 ◽

pp. 105-113 ◽

Author(s):

Chein-Shan Liu

Keyword(s):

Helmholtz Equation ◽

Three Dimensional ◽

Cauchy Problems ◽

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A mollification regularization method with the Dirichlet kernel for two Cauchy problems of three-dimensional Helmholtz equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1697807 ◽

2019 ◽

Vol 97 (11) ◽

pp. 2320-2336 ◽

Author(s):

Shangqin He ◽

Xiufang Feng

Keyword(s):

Helmholtz Equation ◽

Regularization Method ◽

Three Dimensional ◽

Dirichlet Kernel ◽

Cauchy Problems

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Solution of the Three Dimensional Scalar Helmholtz Equation by a Finite Element Formulation

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19770570206 ◽

1977 ◽

Vol 57 (2) ◽

pp. 95-99 ◽

Author(s):

N. Gass

Keyword(s):

Finite Element ◽

Helmholtz Equation ◽

Three Dimensional ◽

Finite Element Formulation ◽

Element Formulation

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A novel Trefftz method for solving the multi-dimensional direct and Cauchy problems of Laplace equation in an arbitrary domain

Journal of Computational Science ◽

10.1016/j.jocs.2017.12.008 ◽

2018 ◽

Vol 25 ◽

pp. 16-27 ◽

Author(s):

Ji Lin ◽

Chein-Shan Liu ◽

Wen Chen ◽

Linlin Sun

Keyword(s):

Laplace Equation ◽

Cauchy Problems ◽

Arbitrary Domain ◽

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INVESTIGATION OF THE THREE-DIMENSIONAL HELMHOLTZ EQUATION FOR A WEDGE USING THE BLOCK ELEMENT METHOD

Journal of Applied Mechanics and Technical Physics ◽

10.1134/s0021894421050023 ◽

2021 ◽

Vol 62 (5) ◽

pp. 717-722

Author(s):

V. A. Babeshko ◽

O. V. Evdokimova ◽

O. M. Babeshko

Keyword(s):

Helmholtz Equation ◽

Three Dimensional ◽

Block Element ◽

Block Element Method ◽

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Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2007009 ◽

2007 ◽

Vol 41 (1) ◽

pp. 147-167 ◽

Author(s):

Xavier Antoine ◽

Marion Darbas

Keyword(s):

Helmholtz Equation ◽

Integral Equations ◽

Three Dimensional ◽

Iterative Solution ◽

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A Parallel Fictitious Domain Method for the Three-Dimensional Helmholtz Equation

SIAM Journal on Scientific Computing ◽

10.1137/s1064827500370305 ◽

2003 ◽

Vol 24 (5) ◽

pp. 1567-1588 ◽

Author(s):

Erkki Heikkola ◽

Tuomo Rossi ◽

Jari Toivanen

Keyword(s):

Helmholtz Equation ◽

Three Dimensional ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

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One- and two-dimensional lattice sums for the three-dimensional Helmholtz equation

Journal of Computational Physics ◽

10.1016/j.jcp.2008.11.013 ◽

2009 ◽

Vol 228 (6) ◽

pp. 1815-1829 ◽

Author(s):

C.M. Linton ◽

I. Thompson

Keyword(s):

Helmholtz Equation ◽

Three Dimensional ◽

Two Dimensional ◽

Dimensional Lattice ◽

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Numerical experiments on the Helmholtz equation derived from the solar radiation transfer equation in three-dimensional space

Applied Mathematics and Computation ◽

10.1016/0096-3003(80)90003-x ◽

1980 ◽

Vol 7 (2) ◽

pp. 155-175 ◽

Author(s):

Szu-Cheng S. Ou ◽

Kuo-Nan Liou

Keyword(s):

Solar Radiation ◽

Helmholtz Equation ◽

Transfer Equation ◽

Numerical Experiments ◽

Radiation Transfer ◽

Dimensional Space ◽

Three Dimensional ◽

Radiation Transfer Equation ◽

Three Dimensional Space

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Semi-Vectorial Response of Three-Dimensional Reflecting Structures via Iterative Solution of the Helmholtz Equation

Integrated Photonics Research ◽

10.1364/ipr.1995.ifb1 ◽

1995 ◽

Author(s):

G. Ronald Hadley

Keyword(s):

Helmholtz Equation ◽

Three Dimensional ◽

Iterative Solution

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Resolution of three-dimensional Stokes fluid flows using a Trefftz method

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(99)00427-2 ◽

2000 ◽

Vol 190 (5-7) ◽

pp. 561-578 ◽

Author(s):

Arnaud Poitou ◽

Mohamed Bouberbachene ◽

Christian Hochard

Keyword(s):

Three Dimensional ◽

Fluid Flows ◽

Trefftz Method ◽

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