Space-Time Methods
Applications to Partial Differential Equations
1st Edition
Published on 23. September 2019
X, 251 pages
978-3-11-054848-8 (ISBN)
Description
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.
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Book
02/2024
1st Edition
De Gruyter
€174.95
Shipment within 7-9 days
Persons
Ulrich Langer
, Johannes Kepler University Linz and Radon Institute, Austria;
Olaf Steinbach
, Graz University of Technology, Austria.
Content
- Intro
- Preface
- Contents
- 1. Space-time boundary element methods for the heat equation
- 2. Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves
- 3. A space-time discontinuous Petrov-Galerkin method for acoustic waves
- 4. A space-time DPG method for the wave equation in multiple dimensions
- 5. Adaptive space-time isogeometric analysis for parabolic evolution problems
- 6. Generating admissible space-time meshes for moving domains in (d + 1) dimensions
- 7. Space-time finite element methods for parabolic evolution equations: discretization, a posteriori error estimation, adaptivity and solution
- Index
- Radon Series on Computational and Applied Mathematics
