Green's kernels and meso-scale approximations in perforated domains:
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Heidelberg [u.a.]
Springer
2013
|
| Series: | Lecture notes in mathematics
2077 |
| Subjects: | |
| Online Access: | Volltext Inhaltsverzeichnis Abstract |
| Item Description: | Literaturverz. S. 251 - 253 |
| Physical Description: | 1 Online-Ressource (XVII, 258 S.) graph. Darst. |
| ISBN: | 9783319003573 |
| DOI: | 10.1007/978-3-319-00357-3 |
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Record in the Search Index
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GREEN'S KERNELS AND MESO-SCALE APPROXIMATIONS IN PERFORATED DOMAINS
/ MAZ'YA, VLADIMIR
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PART I: GREEN’S FUNCTIONS IN SINGULARLY PERTURBED DOMAINS: UNIFORM
ASYMPTOTIC FORMULAE FOR GREEN’S FUNCTIONS FOR THE LAPLACIAN IN DOMAINS
WITH SMALL PERFORATIONS
MIXED AND NEUMANN BOUNDARY CONDITIONS FOR DOMAINS WITH SMALL HOLES AND
INCLUSIONS. UNIFORM ASYMPTOTICS OF GREEN’S KERNELS
GREEN’S FUNCTION FOR THE DIRICHLET BOUNDARY VALUE PROBLEM IN A DOMAIN
WITH SEVERAL INCLUSIONS
NUMERICAL SIMULATIONS BASED ON THE ASYMPTOTIC APPROXIMATIONS
OTHER EXAMPLES OF ASYMPTOTIC APPROXIMATIONS OF GREEN’S FUNCTIONS IN
SINGULARLY PERTURBED DOMAINS
PART II: GREEN’S TENSORS FOR VECTOR ELASTICITY IN BODIES WITH SMALL
DEFECTS: GREEN’S TENSOR FOR THE DIRICHLET BOUNDARY VALUE PROBLEM IN A
DOMAIN WITH A SINGLE INCLUSION
GREEN’S TENSOR IN BODIES WITH MULTIPLE RIGID INCLUSIONS
GREEN’S TENSOR FOR THE MIXED BOUNDARY VALUE PROBLEM IN A DOMAIN WITH A
SMALL HOLE
PART III MESO-SCALE APPROXIMATIONS. ASYMPTOTIC TREATMENT OF PERFORATED
DOMAINS WITHOUT HOMOGENIZATION: MESO-SCALE APPROXIMATIONS FOR SOLUTIONS
OF DIRICHLET PROBLEMS
MIXED BOUNDARY VALUE PROBLEMS IN MULTIPLY-PERFORATED DOMAINS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
GREEN'S KERNELS AND MESO-SCALE APPROXIMATIONS IN PERFORATED DOMAINS
/ MAZ'YA, VLADIMIR
: 2013
ABSTRACT / INHALTSTEXT
THERE ARE A WIDE RANGE OF APPLICATIONS IN PHYSICS AND STRUCTURAL
MECHANICS INVOLVING DOMAINS WITH SINGULAR PERTURBATIONS OF THE BOUNDARY.
EXAMPLES INCLUDE PERFORATED DOMAINS AND BODIES WITH DEFECTS OF DIFFERENT
TYPES. THE ACCURATE DIRECT NUMERICAL TREATMENT OF SUCH PROBLEMS REMAINS
A CHALLENGE. ASYMPTOTIC APPROXIMATIONS OFFER AN ALTERNATIVE, EFFICIENT
SOLUTION. GREEN’S FUNCTION IS CONSIDERED HERE AS THE MAIN OBJECT OF
STUDY RATHER THAN A TOOL FOR GENERATING SOLUTIONS OF SPECIFIC BOUNDARY
VALUE PROBLEMS. THE UNIFORMITY OF THE ASYMPTOTIC APPROXIMATIONS IS THE
PRINCIPAL POINT OF ATTENTION. WE ALSO SHOW SUBSTANTIAL LINKS BETWEEN
GREEN’S FUNCTIONS AND SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR
MESO-SCALE STRUCTURES. SUCH SYSTEMS INVOLVE A LARGE NUMBER OF SMALL
INCLUSIONS, SO THAT A SMALL PARAMETER, THE RELATIVE SIZE OF AN
INCLUSION, MAY COMPETE WITH A LARGE PARAMETER, REPRESENTED AS AN OVERALL
NUMBER OF INCLUSIONS. THE MAIN FOCUS OF THE PRESENT TEXT IS ON TWO
TOPICS: (A) ASYMPTOTICS OF GREEN’S KERNELS IN DOMAINS WITH SINGULARLY
PERTURBED BOUNDARIES AND (B) MESO-SCALE ASYMPTOTIC APPROXIMATIONS OF
PHYSICAL FIELDS IN NON-PERIODIC DOMAINS WITH MANY INCLUSIONS. THE NOVEL
FEATURE OF THESE ASYMPTOTIC APPROXIMATIONS IS THEIR UNIFORMITY WITH
RESPECT TO THE INDEPENDENT VARIABLES. THIS BOOK ADDRESSES THE NEEDS OF
MATHEMATICIANS, PHYSICISTS AND ENGINEERS, AS WELL AS RESEARCH STUDENTS
INTERESTED IN ASYMPTOTIC ANALYSIS AND NUMERICAL COMPUTATIONS FOR
SOLUTIONS TO PARTIAL DIFFERENTIAL EQUATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
| any_adam_object | 1 |
| author | Mazʹja, Vladimir Gilelevič 1937- Movchan, Alexander B. Nieves, Michael |
| author_GND | (DE-588)121490602 (DE-588)1036800210 (DE-588)1036800423 |
| author_facet | Mazʹja, Vladimir Gilelevič 1937- Movchan, Alexander B. Nieves, Michael |
| author_role | aut aut aut |
| author_sort | Mazʹja, Vladimir Gilelevič 1937- |
| author_variant | v g m vg vgm a b m ab abm m n mn |
| building | Verbundindex |
| bvnumber | BV041167365 |
| classification_rvk | SI 850 SK 540 |
| classification_tum | MAT 000 MAT 418f MAT 354f MAT 355f |
| collection | ZDB-2-LNM ZDB-2-SMA |
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| 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 | Mathematik |
| doi_str_mv | 10.1007/978-3-319-00357-3 |
| format | Electronic eBook |
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| indexdate | 2025-04-15T08:01:02Z |
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| spelling | Mazʹja, Vladimir Gilelevič 1937- Verfasser (DE-588)121490602 aut Green's kernels and meso-scale approximations in perforated domains Vladimir Maz'ya ; Alexander Movchan ; Michael Nieves Heidelberg [u.a.] Springer 2013 1 Online-Ressource (XVII, 258 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2077 Literaturverz. S. 251 - 253 Elliptisches Randwertproblem (DE-588)4193399-0 gnd rswk-swf Asymptotische Approximation (DE-588)4739184-4 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Green-Funktion (DE-588)4158123-4 s Asymptotische Approximation (DE-588)4739184-4 s Elliptisches Randwertproblem (DE-588)4193399-0 s DE-604 Movchan, Alexander B. Verfasser (DE-588)1036800210 aut Nieves, Michael Verfasser (DE-588)1036800423 aut Erscheint auch als Druck-Ausgabe, Paperback 978-3-319-00356-6 Lecture notes in mathematics 2077 (DE-604)BV014303148 2077 https://doi.org/10.1007/978-3-319-00357-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026142647&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=026142647&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Mazʹja, Vladimir Gilelevič 1937- Movchan, Alexander B. Nieves, Michael Green's kernels and meso-scale approximations in perforated domains Lecture notes in mathematics Elliptisches Randwertproblem (DE-588)4193399-0 gnd Asymptotische Approximation (DE-588)4739184-4 gnd Green-Funktion (DE-588)4158123-4 gnd |
| subject_GND | (DE-588)4193399-0 (DE-588)4739184-4 (DE-588)4158123-4 |
| title | Green's kernels and meso-scale approximations in perforated domains |
| title_auth | Green's kernels and meso-scale approximations in perforated domains |
| title_exact_search | Green's kernels and meso-scale approximations in perforated domains |
| title_full | Green's kernels and meso-scale approximations in perforated domains Vladimir Maz'ya ; Alexander Movchan ; Michael Nieves |
| title_fullStr | Green's kernels and meso-scale approximations in perforated domains Vladimir Maz'ya ; Alexander Movchan ; Michael Nieves |
| title_full_unstemmed | Green's kernels and meso-scale approximations in perforated domains Vladimir Maz'ya ; Alexander Movchan ; Michael Nieves |
| title_short | Green's kernels and meso-scale approximations in perforated domains |
| title_sort | green s kernels and meso scale approximations in perforated domains |
| topic | Elliptisches Randwertproblem (DE-588)4193399-0 gnd Asymptotische Approximation (DE-588)4739184-4 gnd Green-Funktion (DE-588)4158123-4 gnd |
| topic_facet | Elliptisches Randwertproblem Asymptotische Approximation Green-Funktion |
| url | https://doi.org/10.1007/978-3-319-00357-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026142647&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=026142647&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014303148 |
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