Mixed problem for a harmonic function
Abstract A harmonic function is considered in a three-dimensional bounded domain. Its normal derivative is given on nearly the entire boundary of the domain, while the value of the harmonic function is specified on the remaining small portion. The method of matched asymptotic expansions is used to c...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ershov, A. A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2013 |
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| Übergeordnetes Werk: |
Enthalten in: Computational mathematics and mathematical physics - Springer US, 1992, 53(2013), 7 vom: Juli, Seite 908-919 |
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| Übergeordnetes Werk: |
volume:53 ; year:2013 ; number:7 ; month:07 ; pages:908-919 |
| Links: |
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| DOI / URN: |
10.1134/S0965542513070087 |
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OLC2037351526 |
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| 520 | |a Abstract A harmonic function is considered in a three-dimensional bounded domain. Its normal derivative is given on nearly the entire boundary of the domain, while the value of the harmonic function is specified on the remaining small portion. The method of matched asymptotic expansions is used to construct a complete uniform asymptotic expansion of the function in powers of a small parameter characterizing the size of the boundary portion with a specified function value. The asymptotic expansion is rigorously substantiated. | ||
| 650 | 4 | |a harmonic function | |
| 650 | 4 | |a mixed boundary value problem | |
| 650 | 4 | |a small parameter | |
| 650 | 4 | |a method of matched asymptotic expansions | |
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10.1134/S0965542513070087 doi (DE-627)OLC2037351526 (DE-He213)S0965542513070087-p DE-627 ger DE-627 rakwb eng 510 VZ Ershov, A. A. verfasserin aut Mixed problem for a harmonic function 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2013 Abstract A harmonic function is considered in a three-dimensional bounded domain. Its normal derivative is given on nearly the entire boundary of the domain, while the value of the harmonic function is specified on the remaining small portion. The method of matched asymptotic expansions is used to construct a complete uniform asymptotic expansion of the function in powers of a small parameter characterizing the size of the boundary portion with a specified function value. The asymptotic expansion is rigorously substantiated. harmonic function mixed boundary value problem small parameter method of matched asymptotic expansions Enthalten in Computational mathematics and mathematical physics Springer US, 1992 53(2013), 7 vom: Juli, Seite 908-919 (DE-627)131059181 (DE-600)1106328-2 (DE-576)029158060 0965-5425 nnns volume:53 year:2013 number:7 month:07 pages:908-919 https://doi.org/10.1134/S0965542513070087 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 53 2013 7 07 908-919 |
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10.1134/S0965542513070087 doi (DE-627)OLC2037351526 (DE-He213)S0965542513070087-p DE-627 ger DE-627 rakwb eng 510 VZ Ershov, A. A. verfasserin aut Mixed problem for a harmonic function 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2013 Abstract A harmonic function is considered in a three-dimensional bounded domain. Its normal derivative is given on nearly the entire boundary of the domain, while the value of the harmonic function is specified on the remaining small portion. The method of matched asymptotic expansions is used to construct a complete uniform asymptotic expansion of the function in powers of a small parameter characterizing the size of the boundary portion with a specified function value. The asymptotic expansion is rigorously substantiated. harmonic function mixed boundary value problem small parameter method of matched asymptotic expansions Enthalten in Computational mathematics and mathematical physics Springer US, 1992 53(2013), 7 vom: Juli, Seite 908-919 (DE-627)131059181 (DE-600)1106328-2 (DE-576)029158060 0965-5425 nnns volume:53 year:2013 number:7 month:07 pages:908-919 https://doi.org/10.1134/S0965542513070087 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 53 2013 7 07 908-919 |
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10.1134/S0965542513070087 doi (DE-627)OLC2037351526 (DE-He213)S0965542513070087-p DE-627 ger DE-627 rakwb eng 510 VZ Ershov, A. A. verfasserin aut Mixed problem for a harmonic function 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2013 Abstract A harmonic function is considered in a three-dimensional bounded domain. Its normal derivative is given on nearly the entire boundary of the domain, while the value of the harmonic function is specified on the remaining small portion. The method of matched asymptotic expansions is used to construct a complete uniform asymptotic expansion of the function in powers of a small parameter characterizing the size of the boundary portion with a specified function value. The asymptotic expansion is rigorously substantiated. harmonic function mixed boundary value problem small parameter method of matched asymptotic expansions Enthalten in Computational mathematics and mathematical physics Springer US, 1992 53(2013), 7 vom: Juli, Seite 908-919 (DE-627)131059181 (DE-600)1106328-2 (DE-576)029158060 0965-5425 nnns volume:53 year:2013 number:7 month:07 pages:908-919 https://doi.org/10.1134/S0965542513070087 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 53 2013 7 07 908-919 |
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Abstract A harmonic function is considered in a three-dimensional bounded domain. Its normal derivative is given on nearly the entire boundary of the domain, while the value of the harmonic function is specified on the remaining small portion. The method of matched asymptotic expansions is used to construct a complete uniform asymptotic expansion of the function in powers of a small parameter characterizing the size of the boundary portion with a specified function value. The asymptotic expansion is rigorously substantiated. © Pleiades Publishing, Ltd. 2013 |
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Abstract A harmonic function is considered in a three-dimensional bounded domain. Its normal derivative is given on nearly the entire boundary of the domain, while the value of the harmonic function is specified on the remaining small portion. The method of matched asymptotic expansions is used to construct a complete uniform asymptotic expansion of the function in powers of a small parameter characterizing the size of the boundary portion with a specified function value. The asymptotic expansion is rigorously substantiated. © Pleiades Publishing, Ltd. 2013 |
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Abstract A harmonic function is considered in a three-dimensional bounded domain. Its normal derivative is given on nearly the entire boundary of the domain, while the value of the harmonic function is specified on the remaining small portion. The method of matched asymptotic expansions is used to construct a complete uniform asymptotic expansion of the function in powers of a small parameter characterizing the size of the boundary portion with a specified function value. The asymptotic expansion is rigorously substantiated. © Pleiades Publishing, Ltd. 2013 |
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