Boundary integral equation methods and numerical solutions: thin plates on an elastic foundation
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham
Springer
[2016]
|
| Series: | Developments in Mathematics
35 |
| Subjects: | |
| Online Access: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XII, 232 Seiten, 251 illus., 196 illus. in color) |
| ISBN: | 9783319263090 |
| ISSN: | 1389-2177 |
| DOI: | 10.1007/978-3-319-26309-0 |
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Record in the Search Index
| _version_ | 1804176141088456704 |
|---|---|
| adam_text | BOUNDARY INTEGRAL EQUATION METHODS AND NUMERICAL SOLUTIONS
/ CONSTANDA, CHRISTIAN
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
1. THE MATHEMATICAL MODEL
2. THE LAYER POTENTIALS
3. EXISTENCE OF SOLUTIONS
4. SOFTWARE DEVELOPMENT
5. COMPUTATIONAL EXAMPLES
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
BOUNDARY INTEGRAL EQUATION METHODS AND NUMERICAL SOLUTIONS
/ CONSTANDA, CHRISTIAN
: 2016
ABSTRACT / INHALTSTEXT
THIS BOOK PRESENTS AND EXPLAINS A GENERAL, EFFICIENT, AND ELEGANT METHOD
FOR SOLVING THE DIRICHLET, NEUMANN, AND ROBIN BOUNDARY VALUE PROBLEMS
FOR THE EXTENSIONAL DEFORMATION OF A THIN PLATE ON AN ELASTIC
FOUNDATION. THE SOLUTIONS OF THESE PROBLEMS ARE OBTAINED BOTH
ANALYTICALLY—BY MEANS OF DIRECT AND INDIRECT BOUNDARY INTEGRAL
EQUATION METHODS (BIEMS)—AND NUMERICALLY, THROUGH THE APPLICATION OF A
BOUNDARY ELEMENT TECHNIQUE. THE TEXT DISCUSSES THE METHODOLOGY FOR
CONSTRUCTING A BIEM, DERIVING ALL THE ATTENDING MATHEMATICAL PROPERTIES
WITH FULL RIGOR. THE MODEL INVESTIGATED IN THE BOOK CAN SERVE AS A
TEMPLATE FOR THE STUDY OF ANY LINEAR ELLIPTIC TWO-DIMENSIONAL PROBLEM
WITH CONSTANT COEFFICIENTS. THE REPRESENTATION OF THE SOLUTION IN TERMS
OF SINGLE-LAYER AND DOUBLE-LAYER POTENTIALS IS PIVOTAL IN THE
DEVELOPMENT OF A BIEM, WHICH, IN TURN, FORMS THE BASIS FOR THE SECOND
PART OF THE BOOK, WHERE APPROXIMATE SOLUTIONS ARE COMPUTED WITH A HIGH
DEGREE OF ACCURACY. THE BOOK IS INTENDED FOR GRADUATE STUDENTS AND
RESEARCHERS IN THE FIELDS OF BOUNDARY INTEGRAL EQUATION METHODS,
COMPUTATIONAL MECHANICS AND, MORE GENERALLY, SCIENTISTS WORKING IN THE
AREAS OF APPLIED MATHEMATICS AND ENGINEERING. GIVEN ITS DETAILED
PRESENTATION OF THE MATERIAL, THE BOOK CAN ALSO BE USED AS A TEXT IN A
SPECIALIZED GRADUATE COURSE ON THE APPLICATIONS OF THE BOUNDARY ELEMENT
METHOD TO THE NUMERICAL COMPUTATION OF SOLUTIONS IN A WIDE VARIETY OF
PROBLEMS.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Constanda, Christian 1944- Doty, Dale Hamill, William |
| author_GND | (DE-588)112608027 |
| author_facet | Constanda, Christian 1944- Doty, Dale Hamill, William |
| author_role | aut aut aut |
| author_sort | Constanda, Christian 1944- |
| author_variant | c c cc d d dd w h wh |
| building | Verbundindex |
| bvnumber | BV043503927 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (ZDB-2-SMA)978-3-319-26309-0 (OCoLC)946149841 (DE-599)BVBBV043503927 |
| dewey-full | 515.45 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.45 |
| dewey-search | 515.45 |
| dewey-sort | 3515.45 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-26309-0 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:27:27Z |
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| isbn | 9783319263090 |
| issn | 1389-2177 |
| language | English |
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| spelling | Constanda, Christian 1944- Verfasser (DE-588)112608027 aut Boundary integral equation methods and numerical solutions thin plates on an elastic foundation Christian Constanda, Dale Doty, William Hamill Cham Springer [2016] © 2016 1 Online-Ressource (XII, 232 Seiten, 251 illus., 196 illus. in color) txt rdacontent c rdamedia cr rdacarrier Developments in mathematics volume 35 1389-2177 Mathematics Functions of complex variables Integral equations Partial differential equations Integral Equations Partial Differential Equations Functions of a Complex Variable Mathematik Doty, Dale Verfasser aut Hamill, William Verfasser aut Erscheint auch als Druckausgabe 978-3-319-26307-6 Developments in Mathematics 35 (DE-604)BV036889254 35 https://doi.org/10.1007/978-3-319-26309-0 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920272&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=028920272&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Constanda, Christian 1944- Doty, Dale Hamill, William Boundary integral equation methods and numerical solutions thin plates on an elastic foundation Developments in Mathematics Mathematics Functions of complex variables Integral equations Partial differential equations Integral Equations Partial Differential Equations Functions of a Complex Variable Mathematik |
| title | Boundary integral equation methods and numerical solutions thin plates on an elastic foundation |
| title_auth | Boundary integral equation methods and numerical solutions thin plates on an elastic foundation |
| title_exact_search | Boundary integral equation methods and numerical solutions thin plates on an elastic foundation |
| title_full | Boundary integral equation methods and numerical solutions thin plates on an elastic foundation Christian Constanda, Dale Doty, William Hamill |
| title_fullStr | Boundary integral equation methods and numerical solutions thin plates on an elastic foundation Christian Constanda, Dale Doty, William Hamill |
| title_full_unstemmed | Boundary integral equation methods and numerical solutions thin plates on an elastic foundation Christian Constanda, Dale Doty, William Hamill |
| title_short | Boundary integral equation methods and numerical solutions |
| title_sort | boundary integral equation methods and numerical solutions thin plates on an elastic foundation |
| title_sub | thin plates on an elastic foundation |
| topic | Mathematics Functions of complex variables Integral equations Partial differential equations Integral Equations Partial Differential Equations Functions of a Complex Variable Mathematik |
| topic_facet | Mathematics Functions of complex variables Integral equations Partial differential equations Integral Equations Partial Differential Equations Functions of a Complex Variable Mathematik |
| url | https://doi.org/10.1007/978-3-319-26309-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920272&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=028920272&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV036889254 |
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