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时空方法在偏微分方程中的应用-Space-Time Methods: Applications to Partial Differential Equations

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标题(title):Space-Time Methods: Applications to Partial Differential Equations
时空方法在偏微分方程中的应用
作者(author):Ulrich Langer, Olaf Steinbach
出版社(publisher):De Gruyter
大小(size):7 MB (7135639 bytes)
格式(extension):pdf
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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
Table of contents :
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

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