The mollification method based on a modified operator to the ill-posed problem for 3D Helmholtz equation with mixed boundary
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DOI: 10.1016/j.apnum.2020.10.012
Abstract: Abstract The paper is considered a Cauchy problem for Helmholtz equation with mixed boundary in three-dimensional case. The problem is severely ill-posed (small deviation in the data may produce large errors in the computed solution),… read more here.
Keywords: problem helmholtz; helmholtz equation; mixed boundary; equation mixed ... See more keywords
Reconstruction algorithms of an inverse conductive scattering problem for the Helmholtz equation
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DOI: 10.1080/00036811.2020.1819533
Abstract: In this paper, we consider an inverse conductive scattering problem for the Helmholtz equation from measurements on the outer boundary. We want to seek reconstruction algorithms to detect the numbe... read more here.
Keywords: inverse conductive; helmholtz equation; reconstruction algorithms; scattering problem ... See more keywords
Oblique Derivative Problem for the Helmholtz Equation in a Disk
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DOI: 10.1134/s0012266118040067
Abstract: We show that the oblique derivative problem for the Helmholtz equation in a disk is uniquely solvable under certain restrictions on the parameter. read more here.
Keywords: helmholtz equation; oblique derivative; equation disk; derivative problem ... See more keywords