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001 978-0-387-38034-6
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005 20161121231027.0
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020 _a9780387380346
_9978-0-387-38034-6
024 7 _a10.1007/0-387-38034-5
_2doi
050 4 _aT57-57.97
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
245 1 0 _aCompatible Spatial Discretizations
_h[electronic resource] /
_cedited by Douglas N. Arnold, Pavel B. Bochev, Richard B. Lehoucq, Roy A. Nicolaides, Mikhail Shashkov.
264 1 _aNew York, NY :
_bSpringer New York,
_c2006.
300 _aXIV, 247 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aThe IMA Volumes in Mathematics and its Applications,
_x0940-6573 ;
_v142
505 0 _aNumerical Convergence of the MPFA O-Method for General Quadrilateral Grids in Two and Three Dimensions -- Differential Complexes and Stability of Finite Element Methods I. The de Rham Complex -- Defferential Complexes and Stability of Finite Element Methods II: The Elasticity Complex -- On the Role of Involutions in the Discontinuous Galerkin Discretization of Maxwell and Magnetohydrodynamic Systems -- Principles of Mimetic Discretizations of Differential Operators -- Compatible Discretizations for Eigenvalue Problems -- Conjugated Bubnov-Galerkin Infinite Element for Maxwell Equations -- Covolume Discretization of Differential Forms -- Mimetic Reconstruction of Vectors -- A Cell-Centered Finite Difference Method on Quadrilaterals -- Development and Application of Compatible Discretizations of Maxwell’s Equations.
520 _aThe IMA Hot Topics workshop on compatible spatialdiscretizations was held May 11-15, 2004 at the University of Minnesota. The purpose of the workshop was to bring together scientists at the forefront of the research in the numerical solution of PDEs to discuss recent advances and novel applications of geometrical and homological approaches to discretization. This volume contains original contributions based on the material presented at the workshop. A unique feature of the collection is the inclusion of work that is representative of the recent developments in compatible discretizations across a wide spectrum of disciplines in computational science. Compatible spatial discretizations are those that inherit or mimic fundamental properties of the PDE such as topology, conservation, symmetries, and positivity structures and maximum principles. The papers in the volume offer a snapshot of the current trends and developments in compatible spatial discretizations. The reader will find valuable insights on spatial compatibility from several different perspectives and important examples of applications compatible discretizations in computational electromagnetics, geosciences, linear elasticity, eigenvalue approximations and MHD. The contributions collected in this volume will help to elucidate relations between different methods and concepts and to generally advance our understanding of compatible spatial discretizations for PDEs. Abstracts and presentation slides from the workshop can be accessed at http://www.ima.umn.edu/talks/workshops/5-11-15.2004/.
650 0 _aMathematics.
650 0 _aPartial differential equations.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aNumerical analysis.
650 1 4 _aMathematics.
650 2 4 _aApplications of Mathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aNumerical Analysis.
700 1 _aArnold, Douglas N.
_eeditor.
700 1 _aBochev, Pavel B.
_eeditor.
700 1 _aLehoucq, Richard B.
_eeditor.
700 1 _aNicolaides, Roy A.
_eeditor.
700 1 _aShashkov, Mikhail.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387309163
830 0 _aThe IMA Volumes in Mathematics and its Applications,
_x0940-6573 ;
_v142
856 4 0 _uhttp://dx.doi.org/10.1007/0-387-38034-5
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c507498
_d507498