BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods [electronic resource] /
International Conference on Boundary and Interior Layers(2010 :University of Zaragoza, Spain)
International Conference on Boundary and Interior Layers
Clavero, Carmelo.editor.
Gracia, José Luis.editor.
Lisbona, Francisco J.editor.
This volume will contain selected papers from the lectures held at the BAIL 2010 Conference, which took place from July 5th to 9th, 2010 in Zaragoza (Spain). The papers present significant advances in the modeling, analysis and construction of efficient numerical methods to solve boundary and interior layers appearing in singular perturbation problems. Special emphasis is put on the mathematical foundations of such methods and their application to physical models. Topics in scientific fields such as fluid dynamics, quantum mechanics, semiconductor modeling, control theory, elasticity, chemical reactor theory, and porous media are examined in detail.
Description based upon print version of record.
BAIL 2010 - Boundaryand Interior Layers,Computationaland Asymptotic Methods; Preface; Contents; Contributors; Modeling Acoustic Streaming On A Vibrating Particle; 1 Introduction; 2 Method of Solution; References; Performance of Stabilized Higher-Order Methods for Nonstationary Convection-Diffusion-Reaction Equations; 1 Introduction; 2 Discretization Scheme; 3 Numerical Studies; References; Numerical Approximation of Convection-Diffusion Problems Through the PSI Method and Characteristics Method; 1 Introduction; 2 The PSI Method; 3 Characteristics Method; 4 Numerical Results; References
On Novel Properties of Multimode Boundary Conditions in Electromagnetism and Their Consequences1 Introduction; 2 Formulation of the Problem; 3 An Expression of Potentials .Es, Hs/ for Arbitrary Source; 3.1 The Determination of .Einc, Hinc/; 3.2 Expression of the Potentials .Es, Hs/ for a Multimode Plane; 4 A Correct Definition of the Expression of Jg for Arbitrary bold0mu mumu ggequationgggg in Complex Plane, and Numerical Results; 5 Conclusion; References; Uniform Quadratic Convergence of Monotone Iterates for Semilinear Singularly Perturbed Elliptic Problems; 1 Introduction
2 A Nonlinear Difference Scheme3 Monotone Iterative Method; 4 Quadratic Convergent Rate of Monotone Sequences; 5 Uniform Convergence to the Solution of (3); 6 Uniform Convergence to the Solution of (1); 7 Numerical Experiments; References; Finite Element Discretizations of Optimal Control Flow Problems with Boundary Layers; 1 Optimal Control Problem of the Oseen System; 2 Discretization of the Optimality System; 3 A-Priori Error Analysis; 4 Numerical Experiment; References; Asymptotic Behavior of a Viscous Fluid Near a Rough Boundary; 1 Introduction
2 Asymptotic Behavior of a Viscous Fluid in a Rough Domain3 Asymptotic Behavior of a Viscous Fluid in a Rough Thin Domain; References; High Reynolds Channel Flows: Upstream Interaction of Various Wall Deformations; 1 Introduction; 2 Geometrical Configuration; 3 Fully Established Flow in a Curved Channel; 4 Global Interactive Boundary Layer (GIBL) Model; 5 Upstream Interaction; 5.1 Upstream Length; 5.2 Eigenmode Analysis; 6 Results; References; Uniformly Convergent Finite Difference Schemes for Singularly Perturbed 1D ParabolicReaction-Diffusion Problems; 1 Introduction
2 The Time Semidiscretization3 The Fully Discrete Scheme; 4 Numerical Experiments; References; Finite Element Approximation of the Convection-Diffusion Equation: Subgrid-Scale Spaces, Local Instabilities and Anisotropic Space-Time Discretizations; 1 Two-Scale Approximation of the Convection-Diffusion-Reaction Equation; 2 Avoiding Local Instabilities; 3 Time Dependent Problems; 4 Conclusions; References; A Two-Weight Scheme for a Time-Dependent Advection-Diffusion Problem; 1 Introduction; 2 A General Two-Weight Scheme; 3 Analysis of the Scheme; 3.1 Using a Notion of Monotonicity
3.2 Using the Method of Lines
Includes bibliographical references.
This volume will contain selected papers from the lectures held at the BAIL 2010 Conference, which took place from July 5th to 9th, 2010 in Zaragoza (Spain). The papers present significant advances in the modeling, analysis and construction of efficient numerical methods to solve boundary and interior layers appearing in singular perturbation problems. Special emphasis is put on the mathematical foundations of such methods and their application to physical models. Topics in scientific fields such as fluid dynamics, quantum mechanics, semiconductor modeling, control theory, elasticity, chemical reactor theory, and porous media are examined in detail.
Computer mathematics.
Applied mathematics.
Engineering mathematics.
Fluid mechanics.
Computational Mathematics and Numerical Analysis.
Mathematical and Computational Engineering.
Engineering Fluid Dynamics.
Lecture Notes in Computational Science and Engineering