Space-Time Methods : Applications to Partial Differential Equations / Ulrich Langer, Olaf Steinbach.

Format:

Book

Contributor:

Langer, Ulrich, Editor.

Steinbach, Olaf, Editor.

Series:

Radon series on computational and applied mathematics ; 25.

Radon Series on Computational and Applied Mathematics ; 25

Language:

English

Subjects (All):

Differential equations, Partial--Congresses.

Differential equations, Partial.

Physical Description:

1 online resource (vii, 248 pages) : illustrations.

Place of Publication:

Berlin ; Boston : De Gruyter, [2019]

Language Note:

In English.

Summary:

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.

Contents:

Frontmatter

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

Notes:

Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Apr 2020)

ISBN:

9783110547993

3110547996

9783110548488

3110548488

OCLC:

1125188858