Domain Decomposition Methods in Science and Engineering XIX [electronic resource] /
Huang, Yunqing.editor.
Kornhuber, Ralf.editor.
Widlund, Olof.editor.
Xu, Jinchao.editor.
These are the proceedings of the 19th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linear or nonlinear systems of algebraic equations that arise in various problems in mathematics, computational science, engineering and industry. They are designed for massively parallel computers and take the memory hierarchy of such systems into account. This is essential for approaching peak floating point performance. There is an increasingly well-developed theory which is having a direct impact on the development and improvement of these algorithms.
Description based upon print version of record.
""2 Continuous Problem""""3 A Family of Schwarz DD Algorithms""; ""4 Discretization by a High Order DG Method""; ""4.1 Discretization of the Monodomain Problem""; ""4.2 Discretization of the DD Algorithm""; ""DG Formulation of the Multi-Domain Problem""; ""Formulation of an Interface System""; ""5 Numerical Results""; ""5.1 The 2D Case""; ""5.2 The 3D Case""; ""6 Ongoing and Future Work""; ""Bibliography""; ""N--N Solvers for a DG Discretization for Geometrically Nonconforming Substructures and Discontinuous Coefficients ""; ""Maksymilian Dryja, Juan Galvis, Marcus Sarkis""; ""1 Summary""
""2 Introduction""""3 Differential and Discrete Problems""; ""3.1 Differential Problem""; ""3.2 Discrete Problem""; ""3.3 Schur Complement Problem""; ""4 Notation and the Interface Condition""; ""5 Additive Preconditioners""; ""5.1 Local Problems""; ""5.2 Coarse Problems""; ""5.3 Condition Number Estimate for Tas,I""; ""6 Final Remarks""; ""Bibliography""; ""On Adaptive-Multilevel BDDC""; ""B. Sousedik, J. Mandel""; ""1 Introduction""; ""2 Abstract BDDC for a Model Problem""; ""2.1 Multilevel BDDC""; ""3 Indicator of the Condition Number Bound""; ""4 Optimal Coarse Degrees of Freedom""
""5 Adaptive-Multilevel BDDC in 2D""""6 Numerical Examples and Conclusion""; ""Bibliography""; ""Interpolation Based Local Postprocessing for Adaptive Finite Element Approximations in Electronic Structure Calculations""; ""Jun Fang, Xingyu Gao, Xingao Gong, Aihui Zhou""; ""1 Introduction""; ""2 Interpolation Based Finite Element Postprocessing""; ""2.1 Finite Element Discretizations""; ""2.2 Interpolation Based Local Postprocessing""; ""2.3 Quantum Harmonic Oscillator""; ""3 Applications to Electronic Structure Calculations""; ""3.1 Linearization of Kohn--Sham Equation""; ""3.2 Experiments""
""Bibliography""
Includes bibliographical references.
These are the proceedings of the 19th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linear or nonlinear systems of algebraic equations that arise in various problems in mathematics, computational science, engineering and industry. They are designed for massively parallel computers and take the memory hierarchy of such systems into account. This is essential for approaching peak floating point performance. There is an increasingly well-developed theory which is having a direct impact on the development and improvement of these algorithms.
Computer mathematics.
Physics.
Computer science-Mathematics.
Computational Mathematics and Numerical Analysis.
Computational Science and Engineering.
Numerical and Computational Physics, Simulation.
Mathematics of Computing.