The mathematical theory of time-harmonic Maxwell's equations: expansion-, integral-, and variational methods
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | Applied mathematical sciences
190 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9783319110851 9783319110868 |
| DOI: | 10.1007/978-3-319-11086-8 |
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Record in the Search Index
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|---|---|
| adam_text | THE MATHEMATICAL THEORY OF TIME-HARMONIC MAXWELL S EQUATIONS
/ KIRSCH, ANDREAS
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
EXPANSION INTO WAVE FUNCTIONS
SCATTERING FROM A PERFECT CONDUCTOR
THE VARIATIONAL APPROACH TO THE CAVITY PROBLEM
BOUNDARY INTEGRAL EQUATION METHODS FOR LIPSCHITZ DOMAINS
APPENDIX
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE MATHEMATICAL THEORY OF TIME-HARMONIC MAXWELL S EQUATIONS
/ KIRSCH, ANDREAS
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK GIVES A CONCISE INTRODUCTION TO THE BASIC TECHNIQUES NEEDED
FOR THE THEORETICAL ANALYSIS OF THE MAXWELL EQUATIONS, AND FILTERS IN AN
ELEGANT WAY THE ESSENTIAL PARTS, E.G., CONCERNING THE VARIOUS FUNCTION
SPACES NEEDED TO RIGOROUSLY INVESTIGATE THE BOUNDARY INTEGRAL EQUATIONS
AND VARIATIONAL EQUATIONS. THE BOOK AROSE FROM LECTURES TAUGHT BY THE
AUTHORS OVER MANY YEARS AND CAN BE HELPFUL IN DESIGNING GRADUATE COURSES
FOR MATHEMATICALLY ORIENTATED STUDENTS ON ELECTROMAGNETIC WAVE
PROPAGATION PROBLEMS. THE STUDENTS SHOULD HAVE SOME KNOWLEDGE ON VECTOR
ANALYSIS (CURVES, SURFACES, DIVERGENCE THEOREM) AND FUNCTIONAL ANALYSIS
(NORMED SPACES, HILBERT SPACES, LINEAR AND BOUNDED OPERATORS, DUAL
SPACE). WRITTEN IN AN ACCESSIBLE MANNER, TOPICS ARE FIRST APPROACHED
WITH SIMPLER SCALE HELMHOLTZ EQUATIONS BEFORE TURNING TO MAXWELL
EQUATIONS. THERE ARE EXAMPLES AND EXERCISES THROUGHOUT THE BOOK. IT WILL
BE USEFUL FOR GRADUATE STUDENTS AND RESEARCHERS IN APPLIED MATHEMATICS
AND ENGINEERS WORKING IN THE THEORETICAL APPROACH TO ELECTROMAGNETIC
WAVE PROPAGATION
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Kirsch, Andreas 1953- Hettlich, Frank 1963- |
| author_GND | (DE-588)121174328 (DE-588)172645077 |
| author_facet | Kirsch, Andreas 1953- Hettlich, Frank 1963- |
| author_role | aut aut |
| author_sort | Kirsch, Andreas 1953- |
| author_variant | a k ak f h fh |
| building | Verbundindex |
| bvnumber | BV042227569 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)1075513958 (DE-599)DNB106113007X |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-3-319-11086-8 |
| format | Electronic eBook |
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| spelling | Kirsch, Andreas 1953- Verfasser (DE-588)121174328 aut The mathematical theory of time-harmonic Maxwell's equations expansion-, integral-, and variational methods Andreas Kirsch ; Frank Hettlich Cham [u.a.] Springer 2015 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Applied mathematical sciences 190 Maxwellsche Gleichungen (DE-588)4221398-8 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 gnd rswk-swf Electronic book text Maxwellsche Gleichungen (DE-588)4221398-8 s Sobolev-Raum (DE-588)4055345-0 s 1\p DE-604 Hettlich, Frank 1963- Verfasser (DE-588)172645077 aut Applied mathematical sciences 190 (DE-604)BV040244599 190 https://doi.org/10.1007/978-3-319-11086-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027665941&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027665941&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kirsch, Andreas 1953- Hettlich, Frank 1963- The mathematical theory of time-harmonic Maxwell's equations expansion-, integral-, and variational methods Applied mathematical sciences Maxwellsche Gleichungen (DE-588)4221398-8 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| subject_GND | (DE-588)4221398-8 (DE-588)4055345-0 |
| title | The mathematical theory of time-harmonic Maxwell's equations expansion-, integral-, and variational methods |
| title_auth | The mathematical theory of time-harmonic Maxwell's equations expansion-, integral-, and variational methods |
| title_exact_search | The mathematical theory of time-harmonic Maxwell's equations expansion-, integral-, and variational methods |
| title_full | The mathematical theory of time-harmonic Maxwell's equations expansion-, integral-, and variational methods Andreas Kirsch ; Frank Hettlich |
| title_fullStr | The mathematical theory of time-harmonic Maxwell's equations expansion-, integral-, and variational methods Andreas Kirsch ; Frank Hettlich |
| title_full_unstemmed | The mathematical theory of time-harmonic Maxwell's equations expansion-, integral-, and variational methods Andreas Kirsch ; Frank Hettlich |
| title_short | The mathematical theory of time-harmonic Maxwell's equations |
| title_sort | the mathematical theory of time harmonic maxwell s equations expansion integral and variational methods |
| title_sub | expansion-, integral-, and variational methods |
| topic | Maxwellsche Gleichungen (DE-588)4221398-8 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| topic_facet | Maxwellsche Gleichungen Sobolev-Raum |
| url | https://doi.org/10.1007/978-3-319-11086-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027665941&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027665941&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV040244599 |
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