Space-Time Methods: Applications to Partial Differential Equations

Published by De Gruyter 2019

Space-Time Methods

Applications to Partial Differential Equations

Edited by: Ulrich Langer and Olaf Steinbach

Volume 25 in the series Radon Series on Computational and Applied Mathematics

https://doi.org/10.1515/9783110548488

Overview
Contents

About this book

This volume provides an introduction to modern space-time discretization methods such as finite and boundary elements and isogeometric analysis for time-dependent initial-boundary value problems of parabolic and hyperbolic type. Particular focus is given on stable formulations, error estimates, adaptivity in space and time, efficient solution algorithms, parallelization of the solution pipeline, and applications in science and engineering.

A collection of original survey articles on space-time discretization methods
Presents the state of the art of the theory along with applications
Of interest to applied mathematicians as well as to applied scientists and engineers

Author / Editor information

Ulrich Langer, Johannes Kepler University Linz and Radon Institute, Austria; Olaf Steinbach, Graz University of Technology, Austria.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Contents Publicly Available Download PDF	IX
1. Space-time boundary element methods for the heat equation Stefan Dohr, Olaf Steinbach and Kazuki Niino Requires Authentication Unlicensed Licensed Download PDF	1
2. Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves Willy Dörfler, Stefan Findeisen, Christian Wieners and Daniel Ziegler Requires Authentication Unlicensed Licensed Download PDF	61
3. A space-time discontinuous Petrov–Galerkin method for acoustic waves Johannes Ernesti and Christian Wieners Requires Authentication Unlicensed Licensed Download PDF	89
4. A space-time DPG method for the wave equation in multiple dimensions Jay Gopalakrishnan and Paulina Sepúlveda Requires Authentication Unlicensed Licensed Download PDF	117
5. Adaptive space-time isogeometric analysis for parabolic evolution problems Ulrich Langer, Svetlana Matculevich and Sergey Repin Requires Authentication Unlicensed Licensed Download PDF	141
6. Generating admissible space-time meshes for moving domains in (d + 1) dimensions Martin Neumüller, Elias Karabelas, Martin Neumüller and Elias Karabelas Requires Authentication Unlicensed Licensed Download PDF	185
7. Space-time finite element methods for parabolic evolution equations: discretization, a posteriori error estimation, adaptivity and solution Olaf Steinbach and Huidong Yang Requires Authentication Unlicensed Licensed Download PDF	207
Index Requires Authentication Unlicensed Licensed Download PDF	249
Radon Series on Computational and Applied Mathematics Requires Authentication Unlicensed Licensed Download PDF	251

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers and graduate students in applied and computational mathematics, physics, and engineering.
Pages
- Front matter: 10
- Main content: 251
Illustrations
- Illustrations: 15
- Coloured Illustrations: 42
- Tables: 50
Keywords: Adaptives Verfahren; Finite-Elemente-Methode; Numerisches Verfahren; Randelemente-Methode; Randwertproblem

eBook

Published: September 23, 2019
ISBN: 9783110548488

Hardcover

Published: September 23, 2019
ISBN: 9783110547870