Boundary element topics: proceedings of the Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 of the German Research Foundation, October 2 - 4, 1995 in Stuttgart
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| Format: | Tagungsbericht Buch |
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| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1998
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| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XVII, 498 S. Ill., graph. Darst. |
| ISBN: | 3540628509 |
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| 245 | 1 | 0 | |a Boundary element topics |b proceedings of the Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 of the German Research Foundation, October 2 - 4, 1995 in Stuttgart |c Wolfgang L. Wendland (ed.) |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1998 | |
| 300 | |a XVII, 498 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturangaben | ||
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Finite-Elemente-Methode |0 (DE-588)4017233-8 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |y 1995 |z Stuttgart |2 gnd-content | |
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| 710 | 2 | |a Deutsche Forschungsgemeinschaft |e Sonstige |0 (DE-588)2007744-0 |4 oth | |
| 711 | 2 | |a Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 |d 1995 |c Stuttgart |j Sonstige |0 (DE-588)2165085-8 |4 oth | |
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| 883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
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Datensatz im Suchindex
| _version_ | 1822663808556990464 |
|---|---|
| adam_text |
Table
of
Contents
Introduction
. 1
Efficient
Calculation of Acoustic Fields by Boundary
Element Method
G. Tröndle,
M.
Jäger,
and
H.
Antes
. 9
1
Introduction
. 9
2
Acoustic problems in frequency domain
. 10
3
Multigrid solver
. 11
3.1
Operator splitting
. 13
4
Adaptive mesh refinement
. 17
4.1
Error indicator
. 18
4.2
Refinement strategy
. 19
5
Acoustic problems in time domain
. 21
6
Analysis of different boundary element methodologies
. 22
6.1
Comparison of Point Collocation and Galerkin Method
. 23
6.2
New BE realizations of Morino's modified
Kirchhoff
's equation
25
7
Adaptive meshes for moving noise sources
. 26
7.1
An Effective but Simple Local Error Indicator
. 27
7.2
Strategy For Refining and Re-Coarsening Grids Creating a
"Moving" Mesh
. 27
8
Conclusion
. 28
A Boundary Element Formulation for Generalized
Viscoelastic Solids in Time Domain
M.
Schanz,
L.
Gaul,
W.
Wenzel,
and
В.
Zastrau. 31
1
Introduction
. 31
2
Constitutive equation
. 32
3
Elastic BE-formulation
. 35
4
Viscoelastic BE-formulation
. 38
5
Numerical example
. 39
5.1
3-d pressure bar
. 40
5.2
Foundation slab on soil
. 43
6
Stability and numerical damping of the elastic solution
. 44
7
Conclusions
. 49
X Table of Contents
On the Efficient Realization of Sparse Matrix Techniques for
Integral Equations with Focus on Panel Clustering,
Cubature
and Software Design Aspects
W.
Hackbusch,
С.
Lage,
and
S.A.
Sauter
. 51
1
Introduction
. 51
2
Setting and Preliminaries
. 52
3
Cubature
Techniques for the Approximation of Singular and Nearly
Singular Surface Integrals Arising in
BEM
. 55
3.1
Cubature
Techniques for the Collocation Method
. 57
3.2
Cubature
Techniques for the Galerkin Method
. 58
4
The Panel Clustering Method
. 62
4.1
Kernel Expansions
. 62
4.2
The Algorithm
. 65
5
Error Analysis of the Panel Clustering Method
. 66
5.1
Complexity of the Panel Clustering Algorithm
. 67
6
Software Design Aspects
. 69
Bimetal Problems
L. Jentsch and D. Mirschinka
. 77
1
Introduction
. 77
2
Two-dimensional Problems
. 79
3
Three-dimensional Problems
. 82
4
Boundary integral operators
. 86
5
Meshes and Spline spaces
. 94
6
Stability and error estimates for the Galerkin method
. 95
Analysis of
3D
Elastoplastic Notch and Crack Problems
using Boundary Element Method
G.
Kuhn
and P.
Partheymüller . 99
1
Introduction
. 99
2
Basics of Continuum Mechanics
.100
2.1
Elasticity Theory
.100
2.2
Plasticity Theory
.101
3
Basics of Fracture Mechanics
.102
3.1
Linear Elastic Fracture Mechanics
.102
3.2
Nonlinear Fracture Mechanics
.104
4
Boundary Element Method in Elastoplasticity
.104
4.1
Boundary Integral Formulations
.104
4.2
Elastoplastic Solution
.107
5
Crack Problems and Boundary Element Method
.109
5.1
Crack Modelling in the Boundary Element Method
.109
5.2
Evaluation of Fracture Mechanics Parameters
.115
6
Conclusion
.116
Table
of Contents XI
Adaptive Domain Decomposition Methods for Finite and
Boundary Element Equations
G. Haase, B.
Heise,
M.
Kuhn,
and
U.
Langer.121
1
Introduction
.121
2
Adaptive Domain Decomposition Preprocessing
.123
2.1
The DD-Data Partitioning
.123
2.2
A Short Description of the Preprocessing Codes
.125
2.3
Example: Direct Current Motor
.125
3
Parallel Solution of Linear Coupled BE/FE-Equations
Approximating Linear Magnetic Field Problems
.126
3.1
A Mixed Variational Formulation
.126
3.2
The Coupled BE/FE Discretization
.128
3.3
The Parallel Solver
.129
3.4
Numerical Results
.133
4
Parallel Solution of Coupled BE/FE-Equations Approximating
Nonlinear Magnetic Field Problems
.134
4.1
The Nested-DD-Newton-Solver
.134
4.2
Numerical Results
.136
5
Generalization to Linear Elasticity Problems
.139
5.1
The Mixed Boundary and Domain Integral Variational
Formulation
.139
5.2
Numerical Results
.140
6
Concluding Remarks and Generalizations
.141
A The Direct Current Motor
. 143
В
The Parallel Algorithm
.144
On the Use of
a BEM
Time-Stepping Procedure for
Nonlinear and Unsteady Wave-Structure Interaction
0.
Mahrenholtz, V.
Schlegel,
and
С
Haack
.149
1
Introduction
.149
2
Wave-Structure Interaction
. 150
2.1
Free Surface Flow
.151
2.2
Rigid Body Motion
.151
3
BEM
Time-Stepping Technique
.153
3.1
Pressure Formulation
.155
3.2
Space and Time Discretization
.156
4
Numerical Wave Tank Simulation
.157
4.1
Space Discretization and Time-Step Control
.157
4.2
Trajectories of Fluid Particles Inside the Domain
.159
4.3
Absorbing Boundary Condition
.160
4.4
Pressure Computation
.162
5
Constrained Floating Bodies
.162
6
Conclusions
.163
XII Table of
Contents
Integral
Equations
arising from Instationary Flows around
Thin Wings
R. Hinder and E.
Meister.167
1
Introduction
. 167
2
The problem
. 167
3
Mathematical ansatz
. 172
4
The solution of problem
(1.11)
in the case of the wing projection
L
equal to the left half-plane
. 178
5
The solution of problem
(1.11)
in the purely two-dimensional case.
. 181
6
A three-dimensional example
. 184
7
Concluding remarks
. 186
Multiscale Methods for the Solution of the Helmholtz and
Laplace Equations
W. Dahmen, B.
Kleemann,
S.
Prössdorf,
and
R.
Schneider
.189
1
Introduction
.189
2
Multiscale Methods
.190
2.1
Periodic Pseudodifferential Equations
.190
2.2
Multiresolution and Wavelets
.191
2.3
Generalized Petrov-Galerkin Schemes
.192
2.4
Matrix Compression and Fast Solution
.193
3
Exterior Dirichlet problem for the Helmholtz equation in 2D
. 194
3.1
Statement of the problem
.194
3.2
Wavelet Discretization Method
.195
3.3
Assembling the compressed stiffness matrix
.199
3.4
Preconditioning and solution
.202
3.6
Numerical examples for scattering
.204
4
Dirichlet problem for the Laplace equation in
3D.208
4.1 Triangulation
and discretization
.209
4.2
Decomposition of Function Spaces
.210
4.3
Numerical examples
.212
5
Concluding Remarks
.218
Galerkin-Type Boundary Element Analysis for
3D
Elasticity
Problems
H.
Andra
and E.
Schnack.221
1
Introduction
.221
2
Boundary integral equations in elasticity and the Galerkin boundary
element analysis
.222
2.1
Boundary value problem
.222
2.2
Boundary integral equations
.222
2.3
Galerkin's Method for the Boundary Integral Equation
.224
3
Integration of singular and regular integrals
.226
Table
of
Contents
XIII
3.1
Coincident
elements
.228
3.2
Edge-adjacent and vertex-adjacent cases
.236
3.3
Integration of regular integrals
.238
4
Numerical example
.239
5
Conclusions
.240
Parallel Coupling of
FEM
and
BEM
for
3D
Elasticity
Problems
Sz.
Szikrai
and E.
Schnack.243
1
Introduction
.243
2
The coupled
3D
FE/BE variational formulation
.243
2.1
Basic equations of linear elasticity
.243
2.2
DD variational formulation
.244
2.3
FE/BE-discretization
.248
2.4
The numerical solution of the local Neumann problems
.252
2.5
Solution techniques
.253
3
Decomposition of the FE mesh in substructures
.255
3.1
Examples
.255
4
The recursive substructuring algorithm
.257
4.1
Basic idea
.257
4.2
The parallel algorithm
.258
5
Implementation and numerical results
.261
5.1
Implementation on a distributed memory MIMD computer
. 261
6
Conclusions
.262
Coupling of
BEM
and
FEM
for Elastic Structures
E.
Schnack
and K.
Türke.265
1
Introduction
.265
2
Basic system and continuous formulation
.266
2.1
Model problem
.266
2.2
Set of coupling equations
.267
3
Discrete formulation
.269
4
Trial functions for the traction field
.273
5
Calculation of boundary integrals
.275
5.1
Singular integrals
.276
5.2
Regular integrals
.276
6
A Neumann series for elasticity problems
.278
7
Numerical results
.284
8
Summary and conclusions
.287
XIV Table of
Contents
Fast Algorithms for the Solution of Pseudodifferential
Equations
D.
Berthold
and B.
Silbermann. . 291
1
Introduction
.291
2
Scales of Spaces
.292
3
Pseudodifferential equations
.295
3.1
Pseudodifferential equations on smooth closed curves
.295
3.2
The airfoil equation on the interval
.297
4
Approximation methods
.298
4.1
Approximation methods for periodic pseudodifferential
equations
.298
4.2
Approximation methods for the airfoil equation
.300
5
Fast algorithms
.303
5.1
Amosov's fast algorithm
.304
5.2
Error estimates in Sobolev spaces
.306
5.3
Error estimates for Amosov's method in
Hölder-Zygmund
spaces
.309
5.4
A fast algorithm for the airfoil equation
.310
5.5
Error estimates
.311
6
Concluding remarks
.312
7
Numerical results
.313
Different Methodologies for Coupled
BEM
and
FEM
with
Implementation on Parallel Computers
U. Brink, M. Kreiemneyer, and E. Stein
.317
1
Introduction
.317
2
The model problem
.318
2.1
Linear elasticity and rate-independent elastoplasticity
.318
2.2
Discretization with boundary elements
.319
2.3
Discretization with finite elements
.321
3
Parallel implementation
.322
3.1
Parallel implementation of the BEM-code
.322
3.2
Parallelization of
FEM
.325
3.3
Performance results
.328
4
Coupling of
BEM
and
FEM
.329
4.1
Multiplicative
Schwarz
method in two overlapping domains
. 329
4.2
Symmetric coupling of Galerkin-BEM with mixed finite
elements
.331
5
Conclusions
.335
Error Analysis for the
BEM
on Nonsmooth Curves
T. Hartmann
and E.P.
Stephan.339
1
Introduction
.339
Table
of
Contents
XV
2
Operator algebra methods
.339
3
Collocation methods using Jacobi polynomials
.341
4
Local error estimates for Galerkin's method
.344
5
Discrete collocation using nonlinear transform
.347
The hp-Version of the
BEM
with Geometric Meshes in
3D
M. Maischak and E. P.
Stephan.351
1
Introduction
.351
2
The screen problem and the Galerkin procedure
.352
3
The hp-version with geometric mesh
.354
4
Numerical Results
.359
A Transonic Panel Method for Helicopter Flows
S. Wagner and
A. Röttgermann
.363
1
Introduction
.363
1.1
General Remarks
.363
1.2
Objectives
.364
2
Basic Equations
. 365
2.1
Equations of Motion
.365
2.2
Fundamental Principles of Potential Theory
.366
3
Boundary Element Method
.367
3.1
Boundary Conditions
.368
3.2
Discretisation of the Integral Equations
.369
3.3
Vortex-Lattice Method
.372
3.4
Panel Clustering Method
.375
4
Field Panel Method
.375
4.1
Basic Equations
.376
4.2
Boundary Conditions and Field Grid
.377
4.3
Iterative Solution of the System of Equations
.378
4.4
Discretisation
.379
4.5
Calculation of the Field Source Strengths
.382
4.6
Artificial Viscosity
.382
4.7
Coupling of the Boundary-Element and the Field Method
.382
4.8
Reduction of Computational Costs
.383
5
Results of Rotor Flows
.383
6
Conclusions and Outlook
.388
Interpolation,
Triangulation
and Numerical Integration on
Closed Manifolds
K. Kalik, R. Quatember, and W. L.
Wendland.395
1
Introduction
.395
2
The algorithm for the approximation of a closed surface in
Ж3
by
triangulations
.395
XVI Table of
Contents
2.1
Examples.
398
2.2
Extension on surfaces with edges
.399
2.3
Examples with edges
.402
2.4
Convergence
.403
3
An adaptive method for the computation of surface integrals
.406
4
Boundary elements of the class C1 and finite-element bases of the
class C1
.410
5
On Hadamard's regularization of derivatives of potentials
.416
Asymptotic Expansions of Elastic Fields in Domains with
Boundary and Structural Singularities
A.-M.
Sandig
and W.L.
Wendland.419
1
Introduction
.419
2
Boundary integral equations for three-dimensional crack and inter¬
face problems
.420
2.1
Crack problems
.421
2.2
Interface problems
.423
3
Asymptotic expansions on the boundary
.427
3.1
Crack problems
.427
3.2
Corner problems
.429
4
Asymptotic expansions in the domain
.432
4.1
The edge-problem
.432
4.2
The corner problem
.436
5
Relations between the corner asymptotics in the domain and on the
boundary
.438
6
Graded Mesh Refinement
.439
Local, Residual-Based A Posteriori Error Estimates Forcing
Adaptive Boundary Element Methods
H.
Schulz
and W. L.
Wendland.445
1
Introduction
.445
2
Pseudodifferential Operators
.446
3
Pseudodifferential Equations
.447
4
Continuity of Pseudodifferential Operators
.450
5
Localized A Posteriori Error Estimates
.450
5.1
Localized A Posteriori Error Estimates on Fixed Parts of the
Boundary Surface
.450
5.2
Generalization of the Commutator Property
.452
5.3
Localized A Posteriori Error Estimates on Mesh-Dependent
Parts of the Boundary Surface
.456
6
Window Techniques for the Computation of Norms of the Localized
Residual
.457
7
Adaptive Methods, Numerical Examples
.460
7.1
The Adaptive Algorithm
.460
Table
of
Contents
XVII
7.2
Two Numerical Examples
.461
A Proof of theorem
4.1 .466
Domain Decomposition and Preconditioning Techniques in
Boundary Element Methods
0. Steinbach
and W. L.
Wendland.471
1
Introduction
.471
2
Variational Formulations for Mixed Boundary Value Problems
.472
2.1
The nonsymmetric formulation
.475
2.2
The symmetric formulation
.477
3
The Construction of Local Preconditioners
.478
4
Hierarchical Domain Decomposition Preconditioners
.485
5
Conclusions
.488
Benchmark Problems for Boundary Element Methods
H.
Schulz,
О.
Steinbach,
and
W.
L.
Wendland.491
1
Introduction
.491
2
A first attempt for defining benchmark problems
.492
3
Results
.494
4
Conclusions
.495
Index
.497 |
| any_adam_object | 1 |
| author_GND | (DE-588)109122437 |
| building | Verbundindex |
| bvnumber | BV011534099 |
| classification_rvk | SD 1995 SK 910 SK 920 |
| classification_tum | MAT 674f |
| ctrlnum | (OCoLC)247670109 (DE-599)BVBBV011534099 |
| discipline | Mathematik |
| format | Conference Proceeding Book |
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| genre | (DE-588)1071861417 Konferenzschrift 1995 Stuttgart gnd-content |
| genre_facet | Konferenzschrift 1995 Stuttgart |
| id | DE-604.BV011534099 |
| illustrated | Illustrated |
| indexdate | 2025-01-30T09:01:01Z |
| institution | BVB |
| institution_GND | (DE-588)2007744-0 (DE-588)2165085-8 |
| isbn | 3540628509 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007763378 |
| oclc_num | 247670109 |
| open_access_boolean | |
| owner | DE-703 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-M347 DE-1050 DE-83 |
| owner_facet | DE-703 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-M347 DE-1050 DE-83 |
| physical | XVII, 498 S. Ill., graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| spelling | Boundary element topics proceedings of the Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 of the German Research Foundation, October 2 - 4, 1995 in Stuttgart Wolfgang L. Wendland (ed.) Berlin [u.a.] Springer 1998 XVII, 498 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Randwertproblem (DE-588)4048395-2 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1995 Stuttgart gnd-content Randelemente-Methode (DE-588)4076508-8 s DE-604 Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Finite-Elemente-Methode (DE-588)4017233-8 s 2\p DE-604 Randwertproblem (DE-588)4048395-2 s 3\p DE-604 Wendland, Wolfgang L. 1936- Sonstige (DE-588)109122437 oth Deutsche Forschungsgemeinschaft Sonstige (DE-588)2007744-0 oth Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 1995 Stuttgart Sonstige (DE-588)2165085-8 oth Digitalisierung TU Muenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007763378&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Boundary element topics proceedings of the Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 of the German Research Foundation, October 2 - 4, 1995 in Stuttgart Randwertproblem (DE-588)4048395-2 gnd Differentialgleichung (DE-588)4012249-9 gnd Randelemente-Methode (DE-588)4076508-8 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4012249-9 (DE-588)4076508-8 (DE-588)4017233-8 (DE-588)1071861417 |
| title | Boundary element topics proceedings of the Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 of the German Research Foundation, October 2 - 4, 1995 in Stuttgart |
| title_auth | Boundary element topics proceedings of the Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 of the German Research Foundation, October 2 - 4, 1995 in Stuttgart |
| title_exact_search | Boundary element topics proceedings of the Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 of the German Research Foundation, October 2 - 4, 1995 in Stuttgart |
| title_full | Boundary element topics proceedings of the Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 of the German Research Foundation, October 2 - 4, 1995 in Stuttgart Wolfgang L. Wendland (ed.) |
| title_fullStr | Boundary element topics proceedings of the Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 of the German Research Foundation, October 2 - 4, 1995 in Stuttgart Wolfgang L. Wendland (ed.) |
| title_full_unstemmed | Boundary element topics proceedings of the Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 of the German Research Foundation, October 2 - 4, 1995 in Stuttgart Wolfgang L. Wendland (ed.) |
| title_short | Boundary element topics |
| title_sort | boundary element topics proceedings of the final conference of the priority research programme boundary element methods 1989 1995 of the german research foundation october 2 4 1995 in stuttgart |
| title_sub | proceedings of the Final Conference of the Priority Research Programme Boundary Element Methods 1989 - 1995 of the German Research Foundation, October 2 - 4, 1995 in Stuttgart |
| topic | Randwertproblem (DE-588)4048395-2 gnd Differentialgleichung (DE-588)4012249-9 gnd Randelemente-Methode (DE-588)4076508-8 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Randwertproblem Differentialgleichung Randelemente-Methode Finite-Elemente-Methode Konferenzschrift 1995 Stuttgart |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007763378&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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