A note on quarkonial systems and multilevel partition of unity methods

Stephan Dahlke; Peter Oswald; Thorsten Raasch

doi:10.1002/mana.201100246

A note on quarkonial systems and multilevel partition of unity methods

Mathematische Nachrichten ◽

10.1002/mana.201100246 ◽

2013 ◽

Vol 286 (5-6) ◽

pp. 600-613

Author(s):

Stephan Dahlke ◽

Peter Oswald ◽

Thorsten Raasch

Keyword(s):

Partition Of Unity ◽

Partition Of Unity Methods

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Evaluation of Local Multiscale Approximation Spaces for Partition of Unity Methods

Meshfree Methods for Partial Differential Equations VIII - Lecture Notes in Computational Science and Engineering ◽

10.1007/978-3-319-51954-8_9 ◽

2017 ◽

pp. 167-198 ◽

Cited By ~ 1

Author(s):

Marc Alexander Schweitzer ◽

Sa Wu

Keyword(s):

Partition Of Unity ◽

Approximation Spaces ◽

Multiscale Approximation ◽

Partition Of Unity Methods

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Meshless and Partition-of-unity Methods

Non-Linear Finite Element Analysis of Solids and Structures ◽

10.1002/9781118375938.ch14 ◽

2012 ◽

pp. 441-472

Keyword(s):

Partition Of Unity ◽

Partition Of Unity Methods

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Multilevel preconditioning for partition of unity methods: some analytic concepts

Numerische Mathematik ◽

10.1007/s00211-007-0089-7 ◽

2007 ◽

Vol 107 (3) ◽

pp. 503-532 ◽

Cited By ~ 8

Author(s):

Wolfgang Dahmen ◽

Shai Dekel ◽

Pencho Petrushev

Keyword(s):

Partition Of Unity ◽

Partition Of Unity Methods ◽

Multilevel Preconditioning

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Partition of Unity Methods for Heterogeneous Domain Decomposition

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XXIV ◽

10.1007/978-3-319-93873-8_15 ◽

2018 ◽

pp. 177-186

Author(s):

Gabriele Ciaramella ◽

Martin J. Gander

Keyword(s):

Domain Decomposition ◽

Partition Of Unity ◽

Partition Of Unity Methods

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Partition of Unity Methods

Meshfree Approximation Methods with Matlab - Interdisciplinary Mathematical Sciences ◽

10.1142/9789812708632_0029 ◽

2007 ◽

pp. 249-254

Keyword(s):

Partition Of Unity ◽

Partition Of Unity Methods

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Partition of unity methods for approximation of point water sources in porous media

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.09.048 ◽

2016 ◽

Vol 273 ◽

pp. 21-32

Author(s):

Pavel Exner ◽

Jan Březina

Keyword(s):

Porous Media ◽

Partition Of Unity ◽

Water Sources ◽

Partition Of Unity Methods

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Automatic generation of octree-based three-dimensional discretizations for Partition of Unity methods

Computational Mechanics ◽

10.1007/s004660050478 ◽

2000 ◽

Vol 25 (2-3) ◽

pp. 296-304 ◽

Cited By ~ 24

Author(s):

O. Klaas ◽

M. S. Shephard

Keyword(s):

Three Dimensional ◽

Partition Of Unity ◽

Automatic Generation ◽

Partition Of Unity Methods

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On three-dimensional modelling of crack growth using partition of unity methods

Computers & Structures ◽

10.1016/j.compstruc.2008.08.010 ◽

2010 ◽

Vol 88 (23-24) ◽

pp. 1391-1411 ◽

Cited By ~ 260

Author(s):

Timon Rabczuk ◽

Stéphane Bordas ◽

Goangseup Zi

Keyword(s):

Crack Growth ◽

Three Dimensional ◽

Partition Of Unity ◽

Partition Of Unity Methods

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PARTICLE-PARTITION OF UNITY METHODS IN ELASTICITY

Computational Methods ◽

10.1007/978-1-4020-3953-9_73 ◽

2007 ◽

pp. 1483-1493

Author(s):

Michael Griebel ◽

Marc Alexander Schweitzer

Keyword(s):

Partition Of Unity ◽

Partition Of Unity Methods

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RBF-Based Partition of Unity Methods for Elliptic PDEs: Adaptivity and Stability Issues Via Variably Scaled Kernels

Journal of Scientific Computing ◽

10.1007/s10915-018-0851-2 ◽

2018 ◽

Vol 79 (1) ◽

pp. 321-344 ◽

Cited By ~ 9

Author(s):

S. De Marchi ◽

A. Martínez ◽

E. Perracchione ◽

M. Rossini

Keyword(s):

Partition Of Unity ◽

Elliptic Pdes ◽

Partition Of Unity Methods ◽

Stability Issues

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