Universal meshes: A method for triangulating planar curved domains immersed in nonconforming meshes

Ramsharan Rangarajan; Adrián J. Lew

doi:10.1002/nme.4624

Universal meshes: A method for triangulating planar curved domains immersed in nonconforming meshes

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4624 ◽

2014 ◽

Vol 98 (4) ◽

pp. 236-264 ◽

Cited By ~ 35

Author(s):

Ramsharan Rangarajan ◽

Adrián J. Lew

Keyword(s):

Curved Domains ◽

Nonconforming Meshes

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An Unconditionally Stable Convergent Finite Difference Method for Navier–Stokes Problems on Curved Domains

SIAM Journal on Numerical Analysis ◽

10.1137/0724081 ◽

1987 ◽

Vol 24 (6) ◽

pp. 1233-1248 ◽

Cited By ~ 12

Author(s):

J. H. Ellison ◽

C. A. Hall ◽

T. A. Porsching

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Navier Stokes ◽

Unconditionally Stable ◽

Stokes Problems ◽

Curved Domains

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Analysis of variable-degree HDG methods for Convection-Diffusion equations. Part II: Semimatching nonconforming meshes

Mathematics of Computation ◽

10.1090/s0025-5718-2013-02711-1 ◽

2013 ◽

Vol 83 (285) ◽

pp. 87-111 ◽

Cited By ~ 17

Author(s):

Yanlai Chen ◽

Bernardo Cockburn

Keyword(s):

Diffusion Equations ◽

Variable Degree ◽

Convection Diffusion ◽

Nonconforming Meshes

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Analysis of semi-implicit DGFEM for nonlinear convection–diffusion problems on nonconforming meshes

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2006.09.025 ◽

2007 ◽

Vol 196 (29-30) ◽

pp. 2813-2827 ◽

Cited By ~ 36

Author(s):

V. Dolejší ◽

M. Feistauer ◽

J. Hozman

Keyword(s):

Nonlinear Convection ◽

Convection Diffusion ◽

Nonconforming Meshes ◽

Diffusion Problems

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Identifying and Meshing Thin Sections of 3-d Curved Domains

Proceedings of the 14th International Meshing Roundtable ◽

10.1007/3-540-29090-7_3 ◽

2006 ◽

pp. 33-54 ◽

Cited By ~ 4

Author(s):

Luzhong Yin ◽

Xiaojuan Luo ◽

Mark S. Shephard

Keyword(s):

Thin Sections ◽

Curved Domains

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High order numerical quadratures for layer potentials over curved domains in ℝ3

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(94)80031-6 ◽

1994 ◽

Vol 116 (1-4) ◽

pp. 257-263

Author(s):

Jean-Luc Guermond

Keyword(s):

High Order ◽

Layer Potentials ◽

Curved Domains ◽

Numerical Quadratures

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Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.01.023 ◽

2009 ◽

Vol 198 (17-20) ◽

pp. 1638-1646 ◽

Cited By ~ 19

Author(s):

Lina Chang ◽

Guangwei Yuan

Keyword(s):

Finite Volume ◽

Finite Volume Methods ◽

Diffusion Equations ◽

Nonconforming Meshes

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A primal formulation for imposing periodic boundary conditions on conforming and nonconforming meshes

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112663 ◽

2020 ◽

Vol 359 ◽

pp. 112663 ◽

Cited By ~ 1

Author(s):

Sunday C. Aduloju ◽

Timothy J. Truster

Keyword(s):

Boundary Conditions ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

Primal Formulation ◽

Nonconforming Meshes

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Numerical Solution of Steady State Heat Flow Problems Over Curved Domains

ACM Transactions on Mathematical Software ◽

10.1145/355694.355699 ◽

1976 ◽

Vol 2 (3) ◽

pp. 257-274 ◽

Cited By ~ 4

Author(s):

C. A. Hall ◽

R. W. Luczak ◽

A. G. Serdy

Keyword(s):

Steady State ◽

Heat Flow ◽

Numerical Solution ◽

Flow Problems ◽

State Heat ◽

Curved Domains ◽

Steady State Heat

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Approximation of Boundary Control Problems on Curved Domains

SIAM Journal on Control and Optimization ◽

10.1137/090761550 ◽

2010 ◽

Vol 48 (6) ◽

pp. 3746-3780 ◽

Cited By ~ 11

Author(s):

Eduardo Casas ◽

Jan Sokolowski

Keyword(s):

Boundary Control ◽

Control Problems ◽

Boundary Control Problems ◽

Curved Domains

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Solving Convection-Diffusion Problems on Curved Domains by Extensions from Subdomains

Journal of Scientific Computing ◽

10.1007/s10915-013-9776-y ◽

2013 ◽

Vol 59 (2) ◽

pp. 512-543 ◽

Cited By ~ 14

Author(s):

Bernardo Cockburn ◽

Manuel Solano

Keyword(s):

Convection Diffusion ◽

Curved Domains ◽

Diffusion Problems

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