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図書

図書
Herausgegeben von Hans Jebsen-Marwedel und Rolf Brückner
出版情報: Berlin : Springer, 1980  xviii, 623 p. ; 28 cm
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目次情報: 続きを見る
Introduction / 1:
Challenges and motivation / 1.1:
Literature review / 1.2:
Overview of the content of the book / 1.3:
Multiscale finite element methods for linear problems and overview / 2:
Summary / 2.1:
Introduction to multiscale finite element methods / 2.2:
Reducing boundary effects / 2.3:
Motivation / 2.3.1:
Oversampling technique / 2.3.2:
Generalization of MsFEM: A look forward / 2.4:
Brief overview of various global couplings of multiscale basis functions / 2.5:
Multiscale finite volume (MsFV) and multiscale finite volume element method (MsFVEM) / 2.5.1:
Mixed multiscale finite element method / 2.5.2:
MsFEM for problems with scale separation / 2.6:
Extension of MsFEM to parabolic problems / 2.7:
Comparison to other multiscale methods / 2.8:
Performance and implementation issues / 2.9:
Cost and performance / 2.9.1:
Convergence and accuracy / 2.9.2:
Coarse-grid choice / 2.9.3:
An application to two-phase flow / 2.10:
Discussions / 2.11:
Multiscale finite element methods for nonlinear equations / 3:
MsFEM for nonlinear problems. Introduction / 3.1:
Multiscale finite volume element method (MsFVEM) / 3.2:
Examples of Ph / 3.3:
Relation to upscaling methods / 3.4:
Multiscale finite element methods for nonlinear parabolic equations / 3.5:
Summary of convergence of MsFEM for nonlinear partial differential equations / 3.6:
Numerical results / 3.7:
Multiscale finite element methods using limited global information / 3.8:
A motivating numerical example / 4.1:
Mixed multiscale finite element methods using limited global information / 4.2:
Elliptic equations / 4.2.1:
Parabolic equations / 4.2.2:
Galerkin multiscale finite element methods using limited global information / 4.2.3:
A special case / 4.3.1:
General case / 4.3.2:
The use of approximate global information / 4.3.3:
Iterative MsFEM / 4.4.1:
Applications of multiscale finite element methods / 4.4.2:
Multiscale methods for transport equation / 5.1:
Governing equations / 5.2.1:
Adaptive multiscale algorithm for transport equation / 5.2.2:
The coarse-to-fine grid interpolation operator / 5.2.3:
Results for a two-dimensional test case / 5.2.4:
Three-dimensional test cases / 5.2.6:
Discussion on local boundary conditions / 5.2.7:
Other approaches for coarsening the transport equation / 5.2.8:
Applications to Richards' equation / 5.2.9:
Problem statement / 5.3.1:
MsFVEM for Richards' equations / 5.3.2:
Applications to fluid-structure interaction / 5.3.3:
Multiscale numerical formulation / 5.4.1:
Numerical examples / 5.4.3:
Applications of mixed MsFEMs to reservoir modeling and simulation / J. E. Aarnes5.4.4:
Multiscale method for the three-phase black oil model / 5.5.1:
Adaptive coarsening of the saturation equations / 5.5.2:
Utilization of multiscale methods for operational decision support / 5.5.3:
Multiscale finite volume method for black oil systems / S. H. Lee ; C. Wolfsteiner ; H. A. Tchelepi5.5.4:
Governing equations and discretized formulation / 5.6.1:
Multiscale finite volume formulation / 5.6.2:
Sequential fully implicit coupling and adaptive computation / 5.6.3:
Remarks / 5.6.4:
Applications of multiscale finite element methods to stochastic flows in heterogeneous media / 5.7:
Multiscale methods for stochastic equations / 5.7.1:
The applications of MsFEMs to uncertainty quantification in inverse problems / 5.7.2:
Analysis / 5.8:
Analysis of MsFEMs for linear problems (from Chapter 2) / 6.1:
Analysis of conforming multiscale finite element methods / 6.1.1:
Analysis of nonconforming multiscale finite element methods / 6.1.2:
Analysis of mixed multiscale finite element methods / 6.1.3:
Analysis of MsFEMs for nonlinear problems (from Chapter 3) / 6.2:
Analysis of MsFEMs with limited global information (from Chapter 4) / 6.3:
Mixed finite element methods with limited global information / 6.3.1:
Glaerkin finite element methods with limited global information / 6.3.2:
Basic notations / A:
Review of homogenization / B:
Linear problems / B.1:
Special case: One-dimensional problem / B.1.1:
Multiscale asymptotic expansions / B.1.2:
Justification of formal expansions / B.1.3:
Boundary corrections / B.1.4:
Nonlocal memory effect of homogenization / B.1.5:
Convection of microstructure / B.1.6:
Nonlinear problems / B.2:
References
Index
Introduction / 1:
Challenges and motivation / 1.1:
Literature review / 1.2:
2.

図書

図書
[Immanuel Kant]
出版情報: Berlin : W. de Gruyter, 1968  2 v. ; 19 cm
シリーズ名: Kants Werke : Akademie-Textausgabe / unveränderter photomechanischer Abdruck des Textes der von der Preußischen Akademie der Wissenschaften 1902 begonnenen Ausgabe von Kants gesammelten Schriften ; Bd. 1-2
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3.

図書

図書
Flügge, Siegfried
出版情報: Berlin : Springer-Verlag, 1955-1956  2 v. ; 26 cm
シリーズ名: Handbuch der Physik / herausgegeben von S. Flügge = Encyclopedia of physics / editor in chief, S. Flügge ; Bd. 1-2
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4.

図書

図書
O.G. Koch, G.A. Koch-Dedic
出版情報: Berlin : Springer, 1974  2 v. (1597p.) ; 25 cm
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5.

図書

図書
出版情報: Berlin : Springer, 1944-1963  v. ; 26 cm
シリーズ名: Handbuch der analytischen Chemie / herausgegeben von R. Fresenius und G. Jander ; T. 2
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6.

図書

図書
von Wilhelm Windelband
出版情報: Tübingen : Mohr, 1924  2 v. ; 22 cm
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7.

図書

図書
herausgegeben von Benno von Wiese
出版情報: Düsseldorf : Bagel, 1956  2 v. (447; 511 p.) ; 22 cm
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8.

図書

図書
Bohumil Kakáč, Zdeněk J. Vejdělek
出版情報: Weinheim ; New York : Verlag Chemie, 1977-  v. ; 25 cm
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9.

図書

図書
editors: W. Schiel, M. Geyer, R. Carmon
出版情報: Berlin : Springer-Verlag, 1987  xvi, 202 p. ; 23 cm
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10.

図書

図書
herausgegeben von Hans-Egon Hass
出版情報: München : C.H. Beck, 1966  2 v. ; 23 cm
シリーズ名: Die deutsche Literatur : Texte und Zeugnisse / im Verein mit Helmut de Boor ... [et al.] ; herausgegeben von Walther Killy ; Bd. 5
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