Computational micromagnetism:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Stuttgart [u.a.]
Teubner
2001
|
| Ausgabe: | 1. Aufl. |
| Schriftenreihe: | Advances in numerical mathematics
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009612934&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XVIII, 304 S. Ill., graph. Darst. : 24 cm |
| ISBN: | 3519003589 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV014038312 | ||
| 003 | DE-604 | ||
| 005 | 20020716 | ||
| 007 | t| | ||
| 008 | 011127s2001 gw ad|| |||| 00||| eng d | ||
| 016 | 7 | |a 963108425 |2 DE-101 | |
| 020 | |a 3519003589 |c kart. : sfr 77.00 |9 3-519-00358-9 | ||
| 035 | |a (OCoLC)50184199 | ||
| 035 | |a (DE-599)BVBBV014038312 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-91G |a DE-355 |a DE-11 | ||
| 050 | 0 | |a QC760.54 | |
| 084 | |a SK 920 |0 (DE-625)143272: |2 rvk | ||
| 084 | |a ST 630 |0 (DE-625)143685: |2 rvk | ||
| 084 | |a PHY 721f |2 stub | ||
| 100 | 1 | |a Prohl, Andreas |d 1968- |e Verfasser |0 (DE-588)115385843 |4 aut | |
| 245 | 1 | 0 | |a Computational micromagnetism |c Andreas Prohl |
| 250 | |a 1. Aufl. | ||
| 264 | 1 | |a Stuttgart [u.a.] |b Teubner |c 2001 | |
| 300 | |a XVIII, 304 S. |b Ill., graph. Darst. : 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Advances in numerical mathematics | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Ferromagnetic materials |x Numerical solutions | |
| 650 | 4 | |a Ferromagnetism |x Data processing | |
| 650 | 0 | 7 | |a Mikromagnetismus |0 (DE-588)4606688-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Computerphysik |0 (DE-588)4273564-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mikromagnetismus |0 (DE-588)4606688-3 |D s |
| 689 | 0 | 1 | |a Computerphysik |0 (DE-588)4273564-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009612934&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009612934 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0202 PHY 721f 2002 A 93 |
|---|---|
| DE-BY-TUM_katkey | 1280744 |
| DE-BY-TUM_location | 02 |
| DE-BY-TUM_media_number | 040020695043 |
| _version_ | 1821932088558878720 |
| adam_text |
CONTENTS
HTRODUCTION
VII
DOTATION
XIV
NUMERICAL
STATIONARY
MICROMAGNETISM
1
DIRECT
MINIMIZATION
15
1.1
ERROR
ANALYSIS
FOR
UNIAXIAL
FERROMAGNETS
.
15
1.1.1
A
LOW
ENERGY
MAGNETIZATION
M^
G
AH
.
21
1.1.2
VERIFICATION
OF
THEOREM
1.2
.
26
1.2
ERROR
ANALYSIS
FOR
CUBIC
FERROMAGNETS
.
29
1.2.1
PROOFS
OF
THEOREMS
1.3
AND
1.4
.
33
1.2.2
PROOF
OF
THEOREM
1.5
.
39
CONVEXIFIED
MICROMAGNETISM
43
2.1
A
STABLE
NON-CONFORMING
DISCRETIZATION
.
43
2.1.1
CONFORMING
AND
NON-CONFORMING
DISCRETIZATION
AND
PE
NALIZATION
.
46
2.1.2
A
PRIORI
ERROR
ESTIMATES
.
50
2.1.3
RELIABLE
OR
EFFICIENT
A
POSTERIORI
ERROR
ESTIMATES
.
57
2.1.4
NUMERICAL
REALIZATION
.
62
2.1.5
COMPUTATIONAL
EXPERIMENTS
.
64
2.2
STABILIZATION
STRATEGIES
IN
CONVEXIFIED
MICROMAGNETISM
.
72
2.2.1
A
PRIORI
ERROR
ANALYSIS
FOR
THE
STABILIZED
SCHEMES
(P^
N
),
I
G
{
A
,
B
}
.
75
2.2.2
COMPUTATIONAL
EXPERIMENTS
.
79
2.3
STRONG
CONVERGENCE
IN
CONVEXIFIED
MICROMAGNETICS
.
90
XII
CONTENTS
2.3.1
PROOFS
OF
THEOREM
2.10
AND
COROLLARY
2.1
.
94
3
RELAXED
MICROMAGNETISM
USING
YOUNG
MEASURES
101
3.1
RELAXED
MICROMAGNETISM
.
101
3.2
CONFORMING
FINITE
ELEMENT
APPROXIMATION
OF
(RP)
.
104
3.3
THE
ACTIVE
SET
BASED
SCHEME
(R
HJ
PQ)J
6
N
.
108
3.4
COMPUTATIONAL
EXPERIMENTS
.
113
II
NUMERICAL
NONSTATIONARY
MICROMAGNETISM
119
4
THE
LANDAU-LIFSHITZ-GILBERT
EQUATION
135
4.1
ANALYSIS
OF
THE
LANDAU-LIFSHITZ-GILBERT
EQUATION
.
142
4.1.1
EXISTENCE
OF
A
SMOOTH
SOLUTION
TO
(LLG)
FOR
SMALL
INI
TIAL
ENERGIES
.
142
4.1.2
HARMONIC
MAPS
BETWEEN
RIEMANNIAN
MANIFOLDS
.
148
4.1.3
EXISTENCE
OF
STRONG
SOLUTIONS
TO
(LLG)
FOR
INITIAL
DATA
OF
FINITE
ENERGY
.
151
4.2
TIME
DISCRETIZATION
OF
THE
LANDAU-LIFSHITZ-GILBERT
EQUATION
.
162
4.2.1
SEMI-IMPLICIT
DISCRETIZATION
OF
(LLG)
.
V
162
4.2.2
PENALIZATION
STRATEGIES
FOR
(LLG)
.
166
4.3
FINITE
ELEMENTS
FOR
THE
LANDAU-LIFSHITZ-GILBERT
EQUATION
.
.
.
183
4.3.1
FINITE
ELEMENT
ERROR
ANALYSIS
FOR
THE
PENALIZATION
METHOD
(4.13)
USING
/(YY)
=
/
2
(-)
.
184
4.3.2
FINITE
ELEMENT
ERROR
ANALYSIS
FOR
(P)^
.
189
4.4
GENERALIZATION
OF
THE
PHYSICAL
MODEL
.
189
4.5
COMPUTATIONAL
EXPERIMENTS
.
*
.
191
5
THE
MAXWELL-LANDAU-LIFSHITZ-GILBERT
EQUATIONS
197
5.1
EXISTENCE
AND
REGULARITY
OF
SOLUTIONS
TO
(MLLG);
A
PRIORI
BOUNDS
.
198
5.2
THE
IMPLICIT
PENALIZED
EULER
SCHEME
.
208
5.2.1
SEMI-DISCRETIZATION
IN
TIME:
THE
SCHEME
(MLLG)F*
.
.
208
5.2.2
SEMI-DISCRETIZATION
IN
TIME:
THE
SCHEME
(MLLG)F
2
.
.
215
5.3
TIME-SPLITTING
SCHEMES
TO
SOLVE
(MLLG)
.
220
5.4
STABILIZED
FINITE
ELEMENT
REALIZATION
OF
(MLLG)F
2
.
225
5.5
COMPUTATIONAL
EXPERIMENTS
.
229
CONTENTS
XIII
6
NEMATIC
LIQUID
CRYSTALS
233
6.1
INTRODUCTION
.
233
6.2
ANALYSIS
OF
(P)
.
241
6.2.1
EXISTENCE
OF
SOLUTIONS
TO
AN
AUXILIARY
PROBLEM
.
242
6.2.2
EXISTENCE
AND
REGULARITY
RESULTS
FOR
(P)
.
253
6.2.3
GLOBAL
EXISTENCE
OF
SOLUTIONS
TO
(P)
FOR
SMALL
INITIAL
DATA254
6.3
THE
SEMI-IMPLICIT
EULER
METHOD
.
256
6.3.1
SEMI-DISCRETIZATION
IN
TIME
.
256
6.3.2
THE
FULLY
DISCRETE
CASE
.
265
6.4
THE
PROJECTION
SCHEMES
(P)F
AND
(P)F.
H
.
272
6.4.1
ERROR
ANALYSIS
FOR
(P)F.
7
.
273
6.4.2
ERROR
ANALYSIS
FOR
(P)^
;7
.
277
6.5
COMPUTATIONAL
EXPERIMENTS
.
278
7
SUMMARY
AND
OUTLOOK
287
BIBLIOGRAPHY
291
INDEX
303 |
| any_adam_object | 1 |
| author | Prohl, Andreas 1968- |
| author_GND | (DE-588)115385843 |
| author_facet | Prohl, Andreas 1968- |
| author_role | aut |
| author_sort | Prohl, Andreas 1968- |
| author_variant | a p ap |
| building | Verbundindex |
| bvnumber | BV014038312 |
| callnumber-first | Q - Science |
| callnumber-label | QC760 |
| callnumber-raw | QC760.54 |
| callnumber-search | QC760.54 |
| callnumber-sort | QC 3760.54 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 920 ST 630 |
| classification_tum | PHY 721f |
| ctrlnum | (OCoLC)50184199 (DE-599)BVBBV014038312 |
| discipline | Physik Informatik Mathematik |
| edition | 1. Aufl. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV014038312</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20020716</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">011127s2001 gw ad|| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">963108425</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3519003589</subfield><subfield code="c">kart. : sfr 77.00</subfield><subfield code="9">3-519-00358-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)50184199</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014038312</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC760.54</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 920</subfield><subfield code="0">(DE-625)143272:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ST 630</subfield><subfield code="0">(DE-625)143685:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 721f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Prohl, Andreas</subfield><subfield code="d">1968-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115385843</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Computational micromagnetism</subfield><subfield code="c">Andreas Prohl</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. Aufl.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Stuttgart [u.a.]</subfield><subfield code="b">Teubner</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVIII, 304 S.</subfield><subfield code="b">Ill., graph. Darst. : 24 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Advances in numerical mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Datenverarbeitung</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ferromagnetic materials</subfield><subfield code="x">Numerical solutions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ferromagnetism</subfield><subfield code="x">Data processing</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mikromagnetismus</subfield><subfield code="0">(DE-588)4606688-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Computerphysik</subfield><subfield code="0">(DE-588)4273564-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mikromagnetismus</subfield><subfield code="0">(DE-588)4606688-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Computerphysik</subfield><subfield code="0">(DE-588)4273564-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009612934&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009612934</subfield></datafield></record></collection> |
| id | DE-604.BV014038312 |
| illustrated | Illustrated |
| indexdate | 2025-01-11T12:02:09Z |
| institution | BVB |
| isbn | 3519003589 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009612934 |
| oclc_num | 50184199 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-11 |
| physical | XVIII, 304 S. Ill., graph. Darst. : 24 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Teubner |
| record_format | marc |
| series2 | Advances in numerical mathematics |
| spellingShingle | Prohl, Andreas 1968- Computational micromagnetism Datenverarbeitung Ferromagnetic materials Numerical solutions Ferromagnetism Data processing Mikromagnetismus (DE-588)4606688-3 gnd Computerphysik (DE-588)4273564-6 gnd |
| subject_GND | (DE-588)4606688-3 (DE-588)4273564-6 |
| title | Computational micromagnetism |
| title_auth | Computational micromagnetism |
| title_exact_search | Computational micromagnetism |
| title_full | Computational micromagnetism Andreas Prohl |
| title_fullStr | Computational micromagnetism Andreas Prohl |
| title_full_unstemmed | Computational micromagnetism Andreas Prohl |
| title_short | Computational micromagnetism |
| title_sort | computational micromagnetism |
| topic | Datenverarbeitung Ferromagnetic materials Numerical solutions Ferromagnetism Data processing Mikromagnetismus (DE-588)4606688-3 gnd Computerphysik (DE-588)4273564-6 gnd |
| topic_facet | Datenverarbeitung Ferromagnetic materials Numerical solutions Ferromagnetism Data processing Mikromagnetismus Computerphysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009612934&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT prohlandreas computationalmicromagnetism |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Physik
| Signatur: |
0202 PHY 721f 2002 A 93 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |