The exterior Neumann problem for the three-dimensional Helmholtz equation

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00253158 ◽

1966 ◽

Vol 23 (3) ◽

pp. 218-236 ◽

Author(s):

Ergun Ar ◽

R. E. Kleinman

Keyword(s):

Helmholtz Equation ◽

Neumann Problem ◽

Three Dimensional

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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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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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Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains

Geometric and Functional Analysis ◽

10.1007/s00039-005-0542-7 ◽

2005 ◽

Vol 15 (6) ◽

pp. 1162-1222 ◽

Author(s):

A. Malchiodi

Keyword(s):

Neumann Problem ◽

Three Dimensional ◽

Singularly Perturbed

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Ursell's approach to obtaining an a priori estimate for the solution of the Neumann problem for the Helmholtz equation

Journal of Soviet Mathematics ◽

10.1007/bf01084478 ◽

1978 ◽

Vol 9 (4) ◽

pp. 479-543

Author(s):

N. S. Grigor'eva

Keyword(s):

Helmholtz Equation ◽

Neumann Problem ◽

A Priori ◽

A Priori Estimate ◽

Priori Estimate ◽

The Neumann Problem

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A shape optimisation with the isogeometric boundary element method and adjoint variable method for the three-dimensional Helmholtz equation

Computer-Aided Design ◽

10.1016/j.cad.2021.103126 ◽

2021 ◽

pp. 103126

Author(s):

Toru Takahashi ◽

Daisuke Sato ◽

Hiroshi Isakari ◽

Toshiro Matsumoto

Keyword(s):

Boundary Element Method ◽

Helmholtz Equation ◽

Boundary Element ◽

Three Dimensional ◽

Variable Method ◽

Shape Optimisation ◽

Adjoint Variable Method ◽

Adjoint Variable ◽

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