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Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations

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...

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Corporate Author: SpringerLink (Online service)
Other Authors: Barrenechea, Gabriel R. (Editor, http://id.loc.gov/vocabulary/relators/edt), Brezzi, Franco. (Editor, http://id.loc.gov/vocabulary/relators/edt), Cangiani, Andrea. (Editor, http://id.loc.gov/vocabulary/relators/edt), Georgoulis, Emmanuil H. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Lecture Notes in Computational Science and Engineering, 114
Subjects:
Computer mathematics.
Partial differential equations.
Computational Science and Engineering.
Partial Differential Equations.
Online Access:https://doi.org/10.1007/978-3-319-41640-3
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 Frédéric Valentin: Foundations of the MHM Method. .

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