| Description |
1 online resource (777 p.) |
| Series |
Lecture Notes in Computational Science and Engineering Series ; volume 145 |
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Lecture notes in computational science and engineering ; 145.
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| Contents |
Intro -- Preface -- Background of the Conference Series -- About the 26th Conference -- Acknowledgments -- Contents -- List of Contributors -- Part I Plenary Talks (PT) -- Multiscale Model Reduction for a Class of Optimal Control Problems with Highly Oscillating Coefficients -- 1 Introduction -- 2 Method description -- 2.1 Multiscale basis functions -- 2.2 The proposed method -- 2.3 Outline of error analysis -- 3 Numerical results -- References -- SeveralWays to Achieve Robustness When SolvingWave Propagation Problems -- 1 Motivation and challenges |
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1.1 Why the time-harmonic problem in mid and high frequency is hard -- 2 What is the best coarse space for Helmholtz? -- 2.1 Spectral coarse spaces for Helmholtz -- 2.2 Comparison of coarse spaces -- 3 Can we improve on the auxiliary subspace preconditioner? -- 4 General conclusions -- References -- Scalable Hybrid TFETI-DP Methods for Large Boundary Variational Inequalities -- 1 Introduction -- 2 Model problem -- 3 Domain decomposition and discretization -- 4 TFETI problem -- 5 Connecting subdomains into clusters -- 6 Bounds on the spectrum of H and optimality -- 7 Numerical experiments |
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7.1 Comparing estimate and experiments -- 7.2 Comparing linear unpreconditioned H-TFETI-DP and TFETI -- 7.3 Model variational inequality and elastic body on rigid obstacle -- References -- Fundamental Coarse Space Components for Schwarz Methods with Crosspoints -- 1 Introduction -- 2 Modal analysis of the Schwarz iteration map -- 3 The special case of 2 × 2 subdomains -- 4 A new coarse space for parallel Schwarz methods -- 5 Numerical experiments -- 6 A note on the optimized Robin parameter -- 7 Conclusion -- References -- Nonoverlapping Domain Decomposition Methods for Time HarmonicWave Problems |
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1 Elliptic equations versus the Helmholtz equation -- 2 Impedance-based transmission conditions and related DDM -- 3 Convergence analysis -- 4 Construction of appropriate impedance operators -- 5 The problem of cross points -- References -- Quantitative Analysis of Nonlinear Multifidelity Optimization for Inverse Electrophysiology -- 1 Introduction -- 2 Electrophysiological models -- 3 Inverse problem of Conductivity Identification -- 4 Multilevel Quasi-Newton Trust-region Method -- Quasi-Newton trust-region method -- Recursive multilevel trust-region method -- 5 Numerical results |
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5.1 Patient-specific geometry -- 5.2 Convergence study -- 6 Conclusion -- References -- Adaptive Space-Time Finite Element and Isogeometric Analysis -- 1 Introduction -- 2 Space-time variational formulations -- 3 Space-time isogeometric analysis -- 4 Space-time finite element analysis -- 5 Space-time optimal control -- References -- Nonoverlapping Domain Decomposition Methods for Saddle Point Problems -- 1 Introduction -- 2 Problem setting -- 3 Domain decomposition -- 4 Positive definite formulations -- 4.1 The primal system (6) -- 4.2 The dual system (12) -- 5 Condition number estimates |
| Summary |
These are the proceedings of the 26th International Conference on Domain Decomposition Methods in Science and Engineering, which was hosted by the Chinese University of Hong Kong and held online in December 2020. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2020 |
| Notes |
6 Connections and differences |
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Description based on online resource; title from digital title page (viewed on July 31, 2023) |
| Subject |
Decomposition method -- Congresses
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Differential equations, Partial -- Congresses
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Ecuaciones en derivadas parciales -- Congresos
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Decomposition method
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Differential equations, Partial
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| Genre/Form |
Electronic books
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proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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| Form |
Electronic book
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| Author |
Brenner, Susanne C., editor.
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Chung, Eric, editor
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Klawonn, Axel, editor
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Kwok, Felix (Writer on scientific computing), editor.
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Xu, Jinchao, 1961- editor.
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Zou, Jun, 1962- editor.
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| ISBN |
9783030950255 |
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3030950255 |
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