001461146 000__ 06510cam\a22007217a\4500 001461146 001__ 1461146 001461146 003__ OCoLC 001461146 005__ 20230502014307.0 001461146 006__ m\\\\\o\\d\\\\\\\\ 001461146 007__ cr\un\nnnunnun 001461146 008__ 230318s2023\\\\sz\\\\\\o\\\\\100\0\eng\d 001461146 019__ $$a1373336261 001461146 020__ $$a9783030950255$$q(electronic bk.) 001461146 020__ $$a3030950255$$q(electronic bk.) 001461146 020__ $$z3030950247 001461146 020__ $$z9783030950248 001461146 0247_ $$a10.1007/978-3-030-95025-5$$2doi 001461146 035__ $$aSP(OCoLC)1373346847 001461146 040__ $$aEBLCP$$beng$$cEBLCP$$dGW5XE$$dYDX$$dEBLCP$$dOCLCF 001461146 049__ $$aISEA 001461146 050_4 $$aQA402.2 001461146 08204 $$a518$$223/eng/20230322 001461146 1112_ $$aInternational Conference on Domain Decomposition Methods$$n(26th :$$d2020 :$$cOnline) 001461146 24510 $$aDomain decomposition methods in science and engineering XXVI /$$cSusanne C. Brenner, Eric Chung, Axel Klawonn, Felix Kwok, Jinchao Xu, Jun Zou, editors. 001461146 2463_ $$aDomain decomposition methods in science and engineering 26 001461146 260__ $$aCham :$$bSpringer,$$c2023. 001461146 300__ $$a1 online resource (777 p.). 001461146 4901_ $$aLecture Notes in Computational Science and Engineering Series ;$$vv.145 001461146 500__ $$a6 Connections and differences 001461146 5050_ $$aIntro -- 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 001461146 5058_ $$a1.1 Why the time-harmonic problem in mid and high frequency is hard -- 2 What is the best coarse space for Helmholtz? -- 2.1 Spectral coarse spaces for Helmholtz -- 2.2 Comparison of coarse spaces -- 3 Can we improve on the auxiliary subspace preconditioner? -- 4 General conclusions -- References -- Scalable Hybrid TFETI-DP Methods for Large Boundary Variational Inequalities -- 1 Introduction -- 2 Model problem -- 3 Domain decomposition and discretization -- 4 TFETI problem -- 5 Connecting subdomains into clusters -- 6 Bounds on the spectrum of H and optimality -- 7 Numerical experiments 001461146 5058_ $$a7.1 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 001461146 5058_ $$a1 Elliptic equations versus the Helmholtz equation -- 2 Impedance-based transmission conditions and related DDM -- 3 Convergence analysis -- 4 Construction of appropriate impedance operators -- 5 The problem of cross points -- References -- Quantitative Analysis of Nonlinear Multifidelity Optimization for Inverse Electrophysiology -- 1 Introduction -- 2 Electrophysiological models -- 3 Inverse problem of Conductivity Identification -- 4 Multilevel Quasi-Newton Trust-region Method -- Quasi-Newton trust-region method -- Recursive multilevel trust-region method -- 5 Numerical results 001461146 5058_ $$a5.1 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 001461146 506__ $$aAccess limited to authorized users. 001461146 520__ $$aThese 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. 001461146 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 22, 2023). 001461146 650_0 $$aDecomposition method$$vCongresses. 001461146 650_0 $$aDifferential equations, Partial$$vCongresses. 001461146 655_0 $$aElectronic books. 001461146 655_7 $$aConference papers and proceedings.$$2fast$$0(OCoLC)fst01423772 001461146 7001_ $$aBrenner, Susanne C. 001461146 7001_ $$aChung, Eric. 001461146 7001_ $$aKlawonn, Axel. 001461146 7001_ $$aKwok, Felix$$c(Writer on scientific computing) 001461146 7001_ $$aXu, Jinchao,$$d1961- 001461146 7001_ $$aZou, Jun,$$d1962- 001461146 77608 $$iPrint version:$$aBrenner, Susanne C.$$tDomain Decomposition Methods in Science and Engineering XXVI$$dCham : Springer International Publishing AG,c2023$$z9783030950248 001461146 830_0 $$aLecture notes in computational science and engineering ;$$v145. 001461146 852__ $$bebk 001461146 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-95025-5$$zOnline Access$$91397441.1 001461146 909CO $$ooai:library.usi.edu:1461146$$pGLOBAL_SET 001461146 980__ $$aBIB 001461146 980__ $$aEBOOK 001461146 982__ $$aEbook 001461146 983__ $$aOnline 001461146 994__ $$a92$$bISE