Extrinsic Meshless Collocation Methods for PDEs on Manifolds

Meng Chen; Leevan Ling

doi:10.1137/17m1158641

Extrinsic Meshless Collocation Methods for PDEs on Manifolds

SIAM Journal on Numerical Analysis ◽

10.1137/17m1158641 ◽

2020 ◽

Vol 58 (2) ◽

pp. 988-1007

Author(s):

Meng Chen ◽

Leevan Ling

Keyword(s):

Collocation Methods ◽

Meshless Collocation

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The golden section search algorithm for finding a good shape parameter for meshless collocation methods

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2010.03.003 ◽

2010 ◽

Vol 34 (8) ◽

pp. 738-746 ◽

Cited By ~ 71

Author(s):

C.H. Tsai ◽

Joseph Kolibal ◽

Ming Li

Keyword(s):

Shape Parameter ◽

Search Algorithm ◽

Golden Section ◽

Collocation Methods ◽

Good Shape ◽

Golden Section Search ◽

Meshless Collocation

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An improved subspace selection algorithm for meshless collocation methods

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2674 ◽

2009 ◽

Vol 80 (13) ◽

pp. 1623-1639 ◽

Cited By ~ 40

Author(s):

Leevan Ling ◽

Robert Schaback

Keyword(s):

Collocation Methods ◽

Selection Algorithm ◽

Meshless Collocation ◽

Subspace Selection

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Positivity conditions in meshless collocation methods

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2003.12.013 ◽

2004 ◽

Vol 193 (12-14) ◽

pp. 1171-1202 ◽

Cited By ~ 51

Author(s):

Xiaozhong Jin ◽

Gang Li ◽

N.R. Aluru

Keyword(s):

Collocation Methods ◽

Meshless Collocation

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Stable and Convergent Unsymmetric Meshless Collocation Methods

SIAM Journal on Numerical Analysis ◽

10.1137/06067300x ◽

2008 ◽

Vol 46 (3) ◽

pp. 1097-1115 ◽

Cited By ~ 50

Author(s):

Leevan Ling ◽

Robert Schaback

Keyword(s):

Collocation Methods ◽

Meshless Collocation

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Kernel-Based Meshless Collocation Methods for Solving Coupled Bulk–Surface Partial Differential Equations

Journal of Scientific Computing ◽

10.1007/s10915-019-01020-2 ◽

2019 ◽

Vol 81 (1) ◽

pp. 375-391

Author(s):

Meng Chen ◽

Leevan Ling

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Methods ◽

Partial Differential ◽

Bulk Surface ◽

Meshless Collocation ◽

Surface Partial Differential Equations

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Meshless collocation methods applied to problems with material discontinuities

10.23967/wccm-eccomas.2020.197 ◽

2021 ◽

Author(s):

A. Krowiak

Keyword(s):

Collocation Methods ◽

Meshless Collocation ◽

Material Discontinuities

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Using DC PSE operator discretization in Eulerian meshless collocation methods improves their robustness in complex geometries

Computers & Fluids ◽

10.1016/j.compfluid.2016.06.010 ◽

2016 ◽

Vol 136 ◽

pp. 285-300 ◽

Cited By ~ 14

Author(s):

George C. Bourantas ◽

Bevan L. Cheeseman ◽

Rajesh Ramaswamy ◽

Ivo F. Sbalzarini

Keyword(s):

Collocation Methods ◽

Complex Geometries ◽

Meshless Collocation

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MESHLESS COLLOCATION METHODS FOR SOLVING PDES ON SURFACES

Boundary Elements and other Mesh Reduction Methods XLII ◽

10.2495/be420141 ◽

2019 ◽

Cited By ~ 1

Author(s):

MENG CHEN ◽

KA CHUN CHEUNG ◽

LEEVAN LING

Keyword(s):

Collocation Methods ◽

Meshless Collocation

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Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods

SIAM Journal on Numerical Analysis ◽

10.1137/050633366 ◽

2007 ◽

Vol 45 (1) ◽

pp. 333-351 ◽

Cited By ~ 57

Author(s):

Robert Schaback

Keyword(s):

Collocation Methods ◽

Meshless Collocation

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Modified equilibrium on line method for imposition of Neumann boundary conditions in meshless collocation methods

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.1114 ◽

2009 ◽

Vol 25 (2) ◽

pp. 147-171 ◽

Cited By ~ 2

Author(s):

A. Sadeghirad ◽

I. Mahmoudzadeh Kani

Keyword(s):

Boundary Conditions ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Collocation Methods ◽

Line Method ◽

Meshless Collocation ◽

On Line

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