Boundary and interior layers, computational and asymptotic methods : BAIL 2016 /
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| Meeting name: | BAIL Conference (2016 : Beijing, China) |
|---|---|
| Imprint: | Cham, Switzerland : Springer, [2017] ©2017 |
| Description: | 1 online resource |
| Language: | English |
| Series: | Lecture notes in computational science and engineering, 1439-7358 ; 120 Lecture notes in computational science and engineering ; 120. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11384723 |
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| 111 | 2 | |a BAIL Conference |d (2016 : |c Beijing, China) | |
| 245 | 1 | 0 | |a Boundary and interior layers, computational and asymptotic methods : |b BAIL 2016 / |c Zhongyi Huang, Martin Stynes, Zhimin Zhang, editor. |
| 264 | 1 | |a Cham, Switzerland : |b Springer, |c [2017] | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource | ||
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| 490 | 1 | |a Lecture notes in computational science and engineering, |x 1439-7358 ; |v 120 | |
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed November 1, 2017). | |
| 520 | |a This volume collects papers associated with lectures that were presented at the BAIL 2016 conference, which was held from 14 to 19 August 2016 at Beijing Computational Science Research Center and Tsinghua University in Beijing, China. It showcases the variety and quality of current research into numerical and asymptotic methods for theoretical and practical problems whose solutions involve layer phenomena. The BAIL (Boundary And Interior Layers) conferences, held usually in even-numbered years, bring together mathematicians and engineers/physicists whose research involves layer phenomena, with the aim of promoting interaction between these often-separate disciplines. These layers appear as solutions of singularly perturbed differential equations of various types, and are common in physical problems, most notably in fluid dynamics. This book is of interest for current researchers from mathematics, engineering and physics whose work involves the accurate app roximation of solutions of singularly perturbed differential equations; that is, problems whose solutions exhibit boundary and/or interior layers.-- |c Provided by publisher. | ||
| 505 | 0 | |a Preface; Contents; Error Estimates in Balanced Norms of Finite Element Methods on Layer-Adapted Meshes for Second Order Reaction-Diffusion Problems; 1 Introduction; 2 The Basic Error Estimate in a Balanced Norm and Some Extensions ; 2.1 Linear Problems; 2.2 Semilinear Problems; 2.3 An Anisotropic Diffusion Problem; 3 The 3D Case and Different Classes of Layer-Adapted Meshes; 3.1 The 3D Case; 3.2 Different Classes of Layer-Adapted Meshes; 4 Supercloseness and a Combination Technique; 5 A Direct Mixed Method. | |
| 505 | 8 | |a 6 Remarks and Further Open Problems; References; Numerical Studies of Higher Order Variational Time Stepping Schemes for Evolutionary Navier-Stokes Equations; 1 Introduction; 2 Model Problem and Its Finite Element Discretization; 3 Variational Time-Stepping Schemes; 3.1 The Continuous Galerkin-Petrov Method; 3.2 The Discontinuous Galerkin Method; 3.3 Post-Processing; 4 Numerical Results; References; Uniform Convergent Monotone Iterates for Nonlinear Parabolic Reaction-Diffusion Systems; 1 Introduction; 2 The Nonlinear Difference Scheme. | |
| 505 | 8 | |a 3 The Monotone Iterative Method; 3.1 Convergence on [0,T]; 3.2 Construction of Initial Upper and Lower Solutions; 4 Uniform Convergence of the Monotone Iterates; 5 Gas-Liquid Interaction Model; References; Order Reduction and Uniform Convergence of an Alternating Direction Method for Solving 2D Time Dependent Convection-Diffusion Problems; 1 Introduction; 2 Spatial Discretization; 3 Time Discretization: Uniform Convergence; 4 Numerical Experiments; References; Laminar Boundary Layer Flow with DBD Plasma Actuation: A Similarity Equation. | |
| 505 | 8 | |a 1 Introduction; 2 Flow with Idealized DBD Plasma Actuation; 2.1 Boundary Layer Equations with Force Terms; 3 Similarity Form of the Boundary Layer Equations; 3.1 Relation Between Flow Components; 3.2 Transformation of Flow Variables; 3.3 Similarity Conditions; 3.3.1 Blasius Flow; 3.3.2 Falkner-Skan Flow; 3.3.3 Actuated Flow with Pressure Gradient; 4 Numerical Solutions of the Similarity Equation; 5 Applications and Future Research; References; On Robust Error Estimation for Singularly Perturbed Fourth-Order Problems; 1 Introduction. | |
| 505 | 8 | |a 2 Numerical Analysis; 2.1 Solution Decomposition and Meshes; 2.2 Error Estimation in Lâ#x88;#x9E;; 2.3 Postprocessing; 3 Numerical Experiments; References; Singularly Perturbed Initial-Boundary Value Problemswith a Pulse in the Initial Condition; 1 Introduction; 2 Reaction-Diffusion Problem; 3 Bounds on the Derivatives of the Continuous Solution; 4 Numerical Method and Error Analysis; 5 Numerical Experiments; References; Numerical Results for Singularly Perturbed Convection-Diffusion Problems on an Annulus; 1 Introduction. | |
| 650 | 0 | |a Boundary layer |v Congresses. | |
| 650 | 0 | |a Boundary value problems |x Asymptotic theory |v Congresses. | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Hydraulics. |2 bisacsh | |
| 650 | 7 | |a Applied mathematics. |2 bicssc | |
| 650 | 7 | |a Maths for engineers. |2 bicssc | |
| 650 | 7 | |a Numerical analysis. |2 bicssc | |
| 650 | 7 | |a Boundary layer. |2 fast |0 (OCoLC)fst00837095 | |
| 650 | 7 | |a Boundary value problems |x Asymptotic theory. |2 fast |0 (OCoLC)fst00837123 | |
| 655 | 4 | |a Electronic books. | |
| 655 | 7 | |a Conference papers and proceedings. |2 fast |0 (OCoLC)fst01423772 | |
| 700 | 1 | |a Huang, Zhongyi, |e editor. | |
| 700 | 1 | |a Stynes, M. |q (Martin), |d 1951- |e editor. |0 http://id.loc.gov/authorities/names/n96010865 | |
| 700 | 1 | |a Zhang, Zhimin, |c Ph. D., |e editor. |0 http://id.loc.gov/authorities/names/no98077749 | |
| 776 | 0 | 8 | |i Print version: |a BAIL Conference (2016 : Beijing, China). |t Boundary and interior layers, computational and asymptotic methods. |d Cham, Switzerland : Springer, [2017] |z 9783319672014 |z 3319672010 |w (OCoLC)1000578787 |
| 830 | 0 | |a Lecture notes in computational science and engineering ; |v 120. |0 http://id.loc.gov/authorities/names/n97020519 | |
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