A multi-frequency iterative imaging method for discontinuous inverse medium problem
The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of...
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Gespeichert in:
| Autor*in: |
Zhang, Lei [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018transfer abstract |
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| Schlagwörter: |
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| Umfang: |
15 |
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| Übergeordnetes Werk: |
Enthalten in: Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty - Miranda, Regina ELSEVIER, 2023, Amsterdam |
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| Übergeordnetes Werk: |
volume:362 ; year:2018 ; day:1 ; month:06 ; pages:290-304 ; extent:15 |
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| DOI / URN: |
10.1016/j.jcp.2018.02.026 |
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| 520 | |a The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. | ||
| 520 | |a The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. | ||
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10.1016/j.jcp.2018.02.026 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001019.pica (DE-627)ELV04228435X (ELSEVIER)S0021-9991(18)30108-6 DE-627 ger DE-627 rakwb eng 610 VZ 44.91 bkl Zhang, Lei verfasserin aut A multi-frequency iterative imaging method for discontinuous inverse medium problem 2018transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. Inverse medium scattering Elsevier Primal–dual Newton method Elsevier Analytical approximation Elsevier Multi-frequency measurements Elsevier Regularization parameter Elsevier Feng, Lixin oth Enthalten in Elsevier Miranda, Regina ELSEVIER Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty 2023 Amsterdam (DE-627)ELV010178430 volume:362 year:2018 day:1 month:06 pages:290-304 extent:15 https://doi.org/10.1016/j.jcp.2018.02.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 362 2018 1 0601 290-304 15 |
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10.1016/j.jcp.2018.02.026 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001019.pica (DE-627)ELV04228435X (ELSEVIER)S0021-9991(18)30108-6 DE-627 ger DE-627 rakwb eng 610 VZ 44.91 bkl Zhang, Lei verfasserin aut A multi-frequency iterative imaging method for discontinuous inverse medium problem 2018transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. Inverse medium scattering Elsevier Primal–dual Newton method Elsevier Analytical approximation Elsevier Multi-frequency measurements Elsevier Regularization parameter Elsevier Feng, Lixin oth Enthalten in Elsevier Miranda, Regina ELSEVIER Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty 2023 Amsterdam (DE-627)ELV010178430 volume:362 year:2018 day:1 month:06 pages:290-304 extent:15 https://doi.org/10.1016/j.jcp.2018.02.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 362 2018 1 0601 290-304 15 |
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10.1016/j.jcp.2018.02.026 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001019.pica (DE-627)ELV04228435X (ELSEVIER)S0021-9991(18)30108-6 DE-627 ger DE-627 rakwb eng 610 VZ 44.91 bkl Zhang, Lei verfasserin aut A multi-frequency iterative imaging method for discontinuous inverse medium problem 2018transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. Inverse medium scattering Elsevier Primal–dual Newton method Elsevier Analytical approximation Elsevier Multi-frequency measurements Elsevier Regularization parameter Elsevier Feng, Lixin oth Enthalten in Elsevier Miranda, Regina ELSEVIER Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty 2023 Amsterdam (DE-627)ELV010178430 volume:362 year:2018 day:1 month:06 pages:290-304 extent:15 https://doi.org/10.1016/j.jcp.2018.02.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 362 2018 1 0601 290-304 15 |
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10.1016/j.jcp.2018.02.026 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001019.pica (DE-627)ELV04228435X (ELSEVIER)S0021-9991(18)30108-6 DE-627 ger DE-627 rakwb eng 610 VZ 44.91 bkl Zhang, Lei verfasserin aut A multi-frequency iterative imaging method for discontinuous inverse medium problem 2018transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. Inverse medium scattering Elsevier Primal–dual Newton method Elsevier Analytical approximation Elsevier Multi-frequency measurements Elsevier Regularization parameter Elsevier Feng, Lixin oth Enthalten in Elsevier Miranda, Regina ELSEVIER Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty 2023 Amsterdam (DE-627)ELV010178430 volume:362 year:2018 day:1 month:06 pages:290-304 extent:15 https://doi.org/10.1016/j.jcp.2018.02.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 362 2018 1 0601 290-304 15 |
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10.1016/j.jcp.2018.02.026 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001019.pica (DE-627)ELV04228435X (ELSEVIER)S0021-9991(18)30108-6 DE-627 ger DE-627 rakwb eng 610 VZ 44.91 bkl Zhang, Lei verfasserin aut A multi-frequency iterative imaging method for discontinuous inverse medium problem 2018transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. Inverse medium scattering Elsevier Primal–dual Newton method Elsevier Analytical approximation Elsevier Multi-frequency measurements Elsevier Regularization parameter Elsevier Feng, Lixin oth Enthalten in Elsevier Miranda, Regina ELSEVIER Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty 2023 Amsterdam (DE-627)ELV010178430 volume:362 year:2018 day:1 month:06 pages:290-304 extent:15 https://doi.org/10.1016/j.jcp.2018.02.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 362 2018 1 0601 290-304 15 |
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A multi-frequency iterative imaging method for discontinuous inverse medium problem |
| abstract |
The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. |
| abstractGer |
The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. |
| abstract_unstemmed |
The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. |
| collection_details |
GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 |
| title_short |
A multi-frequency iterative imaging method for discontinuous inverse medium problem |
| url |
https://doi.org/10.1016/j.jcp.2018.02.026 |
| remote_bool |
true |
| author2 |
Feng, Lixin |
| author2Str |
Feng, Lixin |
| ppnlink |
ELV010178430 |
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| isOA_txt |
false |
| hochschulschrift_bool |
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| author2_role |
oth |
| doi_str |
10.1016/j.jcp.2018.02.026 |
| up_date |
2024-07-06T22:23:39.456Z |
| _version_ |
1803870136652791808 |
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7.399884 |