Building bridges : connections and challenges in modern approaches to numerical partial differential equations
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Bibliographic Information
Building bridges : connections and challenges in modern approaches to numerical partial differential equations
（Lecture notes in computational science and engineering, 114）
Springer, c2016
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"This volume contains survey articles from the topics of a number of the plenary talks of the 101st LMS-EPSRC Symposium entitled Building bridges: connections and challenges in modern approaches to numerical partial differential equations held at Durham University between 8 and 16 July 2014."--Pref
Includes bibliographical references
Other editors: Franco Brezzi, Andrea Cangiani, Emmanuil H. Georgoulis
Description and Table of Contents
Description
This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium "Building bridges: connections and challenges in modern approaches to numerical partial differential equations". This meeting took place in July 8-16, 2014, and its main purpose was to gather specialists in emerging areas of numerical PDEs, and explore the connections between the different approaches.
The type of contributions ranges from the theoretical foundations of these new techniques, to the applications of them, to new general frameworks and unified approaches that can cover one, or more than one, of these emerging techniques.
Table of Contents
Part I Introduction.- Gabriel R. Barrenechea, Franco Brezzi, Andrea Cangiani, Emmanuil H. Georgoulis: Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations.- Part II Invited Papers.- Assyr Abdulle: Numerical homogenization methods for parabolic monotone problems.- L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo: Virtual Element implementation for general elliptic equations.- Annalisa Bu_a, Eduardo M. Garau, Carlotta Giannelli, and Giancarlo Sangalli: On quasi-interpolation operators in spline spaces.- Erik Burman: Stabilised finite element methods for ill-posed problems with conditional stability.- Bernardo Cockburn: Static condensation, hybridization, and the devising of the HDG methods.- Truman Ellis, Jesse Chan, and Leszek Demkowicz: Robust DPG Methods for Transient Convection-Diffusion.- Daniele A. Di Pietro, Alexandre Ern, and Simon Lemaire: A review of Hybrid High-Order methods: formulations, computational aspects, comparison with other methods.- Ralf Hiptmair, Andrea Moiola and Ilaria Perugia: A Survey of Trefftz Methods for the Helmholtz Equation.- Paola F. Antonietti, Andrea Cangiani, Joe Collis, Zhaonan Dong, Emmanuil H. Georgoulis, Stefano Giani, and Paul Houston: Review of Discontinuous Galerkin Finite Element Methods for Partial Di_erential Equations on Complicated Domains.- Konstantin Lipnikov and Gianmarco Manzini: Discretization of mixed formulations of elliptic problems on polyhedral meshes.- Daniel Peterseim: Variational Multiscale Stabilization and the Exponential Decay of Fine-scale Correctors.- Chi-Wang Shu: Discontinuous Galerkin methods for time-dependent convection dominated problems: basics, recent developments and comparison with other methods.- Christopher Harder and Frederic Valentin: Foundations of the MHM Method.
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