This volume contains seven chapters that provide some recent developments in the
formulation, analysis, and implementation of space-time discretization methods for
the numerical solution of time-dependent partial diｃerential equations. The contribu-
tions result from the workshop on “Space-time methods for partial diｃerential equa-
tions” held at the Radon Institute for Computational and Applied Mathematics (RI-
CAM) in Linz, Austria, November 7–11, 2016. This workshop was the second workshop
within the special semester on “Computational methods in science and engineering”,
which took place in Linz, October 10–December 16, 2016
Author(s): Ulrich Langer, Olaf Steinbach
Series: Radon Series on Computational and Applied Mathematics 25
Publisher: De Gruyter
Year: 2019
Language: English
Pages: 264
Cover......Page 1
Radon Series on Computationaland Applied Mathematics, Volume 25
......Page 3
Space-Time
Methods: Applications to Partial Differential Equations
......Page 5
Preface
......Page 7
Contents
......Page 11
1 Space-time boundary element methods for
the heat equation......Page 13
2 Parallel adaptive discontinuous Galerkin
discretizations in space and time for linear
elastic and acoustic waves......Page 73
3 A space-time discontinuous Petrov–Galerkin
method for acoustic waves......Page 101
4 A space-time DPG method for the wave
equation in multiple dimensions......Page 129
5 Adaptive space-time isogeometric analysis
for parabolic evolution problems......Page 153
6 Generating admissible space-time meshes
for moving domains in (d + 1) dimensions......Page 197
7 Space-time finite element methods for
parabolic evolution equations:
discretization, a posteriori error estimation,
adaptivity and solution......Page 219
Index......Page 261
Radon Series on Computational and Applied
Mathematics
......Page 263
