A fully discrete wavelet Galerkin boundary element method in three dimensions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin
Logos-Verl.
2002
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 115 S. 21 cm |
| ISBN: | 3897229943 |
Staff View
MARC
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| 100 | 1 | |a Konik, Michael |d 1969- |e Verfasser |0 (DE-588)123913039 |4 aut | |
| 245 | 1 | 0 | |a A fully discrete wavelet Galerkin boundary element method in three dimensions |c vorgelegt von Michael Konik |
| 264 | 1 | |a Berlin |b Logos-Verl. |c 2002 | |
| 300 | |a 115 S. |b 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Zugl.: Chemnitz, Techn. Univ., Diss., 2001 | ||
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| 650 | 0 | 7 | |a Elliptische Differentialgleichung |0 (DE-588)4014485-9 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Randelemente-Methode |0 (DE-588)4076508-8 |D s |
| 689 | 0 | 2 | |a Galerkin-Methode |0 (DE-588)4155831-5 |D s |
| 689 | 0 | 3 | |a Wavelet |0 (DE-588)4215427-3 |D s |
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Record in the Search Index
| _version_ | 1826205010338250752 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
3
2
A
FULLY
DISCRETE
WAVELET
GALERKIN
METHOD
6
2.1
THE
SCOPE
OF
PROBLEMS
.
7
2.1.1
REPRESENTATION
OF
GEOMETRY
.
7
2.1.2
KERNEL
FUNCTIONS
AND
THEIR
PROPERTIES
.
8
2.2
MULTISCALE
BASES
.
9
2.2.1
CONSTRUCTION
OF
A
MULTISCALE
BASIS
.
10
2.2.2
CARDINAL
B-SPLINES
AND
THEIR
DUALS
.
15
2.2.3
COMPUTING
MOMENTS
.
22
2.3
MULTISCALE
GALERKIN
METHOD
.
24
2.4
MATRIX
COMPRESSION
.
25
2.4.1
FIRST
COMPRESSION
.
26
2.4.2
SECOND
COMPRESSION
.
28
2.5
ASSEMBLY
OF
THE
SYSTEM
MATRIX
.
39
3
NUMERICAL
QUADRATURE
41
3.1
UNIVARIATE
QUADRATURE
.
42
3.1.1
BASIS
BASED
GAUSS
QUADRATURE
.
44
3.1.2
PANEL
BASED
QUADRATURE
.
47
3.2
HIERARCHICAL
QUADRATURE
RULES
.
57
3.3
MULTIVARIATE
QUADRATURE
.
60
3.3.1
TENSOR
PRODUCT
RULES
.
60
3.3.2
SMOLYAKS
ALGORITHM
.
63
4
EFFICIENT
COMPUTATION
OF
THE
MULTISCALE
MATRIX
64
4.1
QUADRATURE
ASPECTS
.
65
4.1.1
FARFIELD
INTEGRALS
.
68
4.1.2
NEARLY
SINGULAR
INTEGRALS
.
72
4.1.3
SINGULAR
INTEGRALS
.
80
4.2
IMPLEMENTATIONAL
DETAILS
.
86
4.2.1
REPRESENTATION
OF
A
SPARSE
MATRIX
.
88
4.2.2
THE
COMPRESSION
ALGORITHM
.
90
4.2.3
ORGANIZING
THE
QUADRATURE
.
91
5
NUMERICAL
RESULTS
92
5.1
COMPRESSION
RESULTS
.
92
5.2
COMPARISON
OF
VARIOUS
QUADRATURE
RULES
.
93
5.3
COMPUTATION
OF
THE
MULTISCALE
MATRIX
.
98
A
GAUSS
QUADRATURE
KNOTS
FOR
REFINABLE
FUNCTIONS
101
B
TRANSFORMATIONS
FOR
SINGULAR
INTEGRALS
103
2 |
| any_adam_object | 1 |
| author | Konik, Michael 1969- |
| author_GND | (DE-588)123913039 |
| author_facet | Konik, Michael 1969- |
| author_role | aut |
| author_sort | Konik, Michael 1969- |
| author_variant | m k mk |
| building | Verbundindex |
| bvnumber | BV014569511 |
| classification_rvk | SK 910 SK 920 |
| ctrlnum | (OCoLC)53332028 (DE-599)BVBBV014569511 |
| discipline | Mathematik |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV014569511 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-10T11:06:54Z |
| institution | BVB |
| isbn | 3897229943 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009906539 |
| oclc_num | 53332028 |
| open_access_boolean | |
| owner | DE-703 DE-706 DE-634 DE-188 |
| owner_facet | DE-703 DE-706 DE-634 DE-188 |
| physical | 115 S. 21 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Logos-Verl. |
| record_format | marc |
| spelling | Konik, Michael 1969- Verfasser (DE-588)123913039 aut A fully discrete wavelet Galerkin boundary element method in three dimensions vorgelegt von Michael Konik Berlin Logos-Verl. 2002 115 S. 21 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Chemnitz, Techn. Univ., Diss., 2001 Galerkin-Methode (DE-588)4155831-5 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Elliptische Differentialgleichung (DE-588)4014485-9 s Randelemente-Methode (DE-588)4076508-8 s Galerkin-Methode (DE-588)4155831-5 s Wavelet (DE-588)4215427-3 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009906539&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Konik, Michael 1969- A fully discrete wavelet Galerkin boundary element method in three dimensions Galerkin-Methode (DE-588)4155831-5 gnd Randelemente-Methode (DE-588)4076508-8 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4155831-5 (DE-588)4076508-8 (DE-588)4014485-9 (DE-588)4215427-3 (DE-588)4113937-9 |
| title | A fully discrete wavelet Galerkin boundary element method in three dimensions |
| title_auth | A fully discrete wavelet Galerkin boundary element method in three dimensions |
| title_exact_search | A fully discrete wavelet Galerkin boundary element method in three dimensions |
| title_full | A fully discrete wavelet Galerkin boundary element method in three dimensions vorgelegt von Michael Konik |
| title_fullStr | A fully discrete wavelet Galerkin boundary element method in three dimensions vorgelegt von Michael Konik |
| title_full_unstemmed | A fully discrete wavelet Galerkin boundary element method in three dimensions vorgelegt von Michael Konik |
| title_short | A fully discrete wavelet Galerkin boundary element method in three dimensions |
| title_sort | a fully discrete wavelet galerkin boundary element method in three dimensions |
| topic | Galerkin-Methode (DE-588)4155831-5 gnd Randelemente-Methode (DE-588)4076508-8 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Galerkin-Methode Randelemente-Methode Elliptische Differentialgleichung Wavelet Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009906539&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT konikmichael afullydiscretewaveletgalerkinboundaryelementmethodinthreedimensions |