Boundary and interior layers, computational and asymptotic methods : BAIL 2016 /: BAIL 2016. ([2017])

• Record Type: Book
• Further Information: Note: Zhongyi Huang, Martin Stynes, Zhimin Zhang, editor.
• Editors: Huang, Zhongyi; Stynes, M (Martin), 1951-; Ph. D, Zhang, Zhimin
• Other Names: BAIL Conference
• Contents: 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. 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. 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. 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. 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Copyright Date: 2017
• Extent: 1 online resource
• Subjects: 532/.051; Mathematics; Boundary layer -- Congresses; Boundary value problems -- Asymptotic theory -- Congresses; Computer science -- Mathematics; Engineering mathematics; TECHNOLOGY & ENGINEERING -- Hydraulics; Boundary layer; Boundary value problems -- Asymptotic theory; Mathematics -- Applied; Applied mathematics; Maths for engineers; Mathematics -- Counting & Numeration; Numerical analysis; Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Mathematical and Computational Engineering; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319672021; 3319672029
• Related ISBNs: 9783319672014; 3319672010
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed November 1, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.