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Titlebook: Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018; Gabriel R. Barrenechea,John Mackenzie Conference proceedings

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期刊全称Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018
影响因子2023Gabriel R. Barrenechea,John Mackenzie
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发行地址This volume presents the state of the art in both classical and more modern approaches to the numerical approximation of problems presenting sharp layers.The papers present a variety of approaches, me
学科分类Lecture Notes in Computational Science and Engineering
图书封面Titlebook: Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018;  Gabriel R. Barrenechea,John Mackenzie Conference proceedings
影响因子.This volume gathers papers presented at the international conference BAIL, which was held at the University of Strathclyde, Scotland from the 14th to the 22nd of June 2018. The conference gathered specialists in the asymptotic and numerical analysis of problems which exhibit layers and interfaces. Covering a wide range of topics and sharing a wealth of insights, the papers in this volume provide an overview of the latest research into the theory and numerical approximation of problems involving boundary and interior layers...
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Automatic Variationally Stable Analysis for FE Computations: An Introduction,h non-constant and highly oscillatory coefficients. In the spirit of least squares FE methods (Bochev and Gunzburger, Least-Squares Finite Element Methods, vol 166, Springer Science & Business Media, Berlin, 2009), the AVS-FE method recasts the governing second order partial differential equation (P
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,Practical Contributions on the Fictitious Domain Method for a Fluid–Structure Interaction Problem,Stokes equations and the structure is described by an ODE depending on two degrees of freedom. A recent fictitious domain method on a fixed mesh is considered. For that choice, we provide several tricks to meet the difficulties arising from the fluid–structure interaction. All developed tools can be
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(div)-Conforming Spaces Based on General Meshes, with Interface Constraints: Accuracy Enhancement, literature a variety of such approximation spaces, which are usually restricted to standard element geometry: triangular, quadrilateral, hexahahedral, tetrahedral, or prismatic meshes. We describe the principles in the construction of more general .(div)-conforming contexts, the meshes allowing non
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Improved Energy-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problngularly perturbed semilinear reaction-diffusion equations on unstructured anisotropic triangulations. The error constants in these estimates are independent of the diameters and the aspect ratios of mesh elements and of the small perturbation parameter. The purpose of this note is to improve the we
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Quasinorms in Semilinear Elliptic Problems,th polynomial nonlinearity. We show that optimal a priori error bounds in the energy norm are only possible for low order elements using classical a priori error analysis techniques. We make use of appropriate quasinorms that results in optimal energy norm error control..We show that, contrary to th
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