Evolving Surface Finite Element Methods for Random Advection-Diffusion Equations

Ana Djurdjevac; Charles M. Elliott; Ralf Kornhuber; Thomas Ranner

doi:10.1137/17m1149547

Evolving Surface Finite Element Methods for Random Advection-Diffusion Equations

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/17m1149547 ◽

2018 ◽

Vol 6 (4) ◽

pp. 1656-1684 ◽

Cited By ~ 2

Author(s):

Ana Djurdjevac ◽

Charles M. Elliott ◽

Ralf Kornhuber ◽

Thomas Ranner

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Equations ◽

Advection Diffusion ◽

Evolving Surface

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Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations

Mathematics of Computation ◽

10.1090/s0025-5718-07-01951-5 ◽

2007 ◽

Vol 76 (259) ◽

pp. 1119-1141 ◽

Cited By ~ 84

Author(s):

Erik Burman ◽

Alexandre Ern

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Equations ◽

Interior Penalty ◽

Advection Diffusion ◽

Hp Finite Element

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Bubble and multiscale stabilization of bilinear finite element methods for transient advection–diffusion equations on rectangular grids

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.03.035 ◽

2014 ◽

Vol 259 ◽

pp. 641-650

Author(s):

Onur Baysal

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Equations ◽

Advection Diffusion ◽

Rectangular Grids

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High resolution upwind-mixed finite element methods for advection-diffusion equations with variable time-stepping

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690110508 ◽

1995 ◽

Vol 11 (5) ◽

pp. 525-538 ◽

Cited By ~ 22

Author(s):

Clint Dawson

Keyword(s):

Finite Element ◽

High Resolution ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Variable Time ◽

Time Stepping ◽

Advection Diffusion

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Crank–Nicolson finite element methods using symmetric stabilization with an application to optimal control problems subject to transient advection–diffusion equations

Communications in Mathematical Sciences ◽

10.4310/cms.2011.v9.n1.a16 ◽

2011 ◽

Vol 9 (1) ◽

pp. 319-329 ◽

Cited By ~ 8

Author(s):

Erik Burman

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Diffusion Equations ◽

Control Problems ◽

Advection Diffusion ◽

Crank Nicolson

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Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations

SIAM Journal on Numerical Analysis ◽

10.1137/18m1221473 ◽

2019 ◽

Vol 57 (6) ◽

pp. 2785-2811 ◽

Cited By ~ 1

Author(s):

Erik Burman ◽

Cuiyu He

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Advection Diffusion ◽

Primal Dual

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Uniform optimal-order estimates for finite element methods for advection-diffusion equations

Journal of Systems Science and Complexity ◽

10.1007/s11424-009-9187-1 ◽

2009 ◽

Vol 22 (4) ◽

pp. 555-559 ◽

Cited By ~ 2

Author(s):

Qun Lin ◽

Hong Wang ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Equations ◽

Optimal Order ◽

Advection Diffusion

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Error Reduction, Convergence and Optimality for Adaptive Mixed Finite Element Methods for Diffusion Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1112-m3480 ◽

2012 ◽

Vol 30 (5) ◽

pp. 483-503 ◽

Cited By ~ 2

Author(s):

Shaohong Du and Xiaoping Xie

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Error Reduction ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Convergence And Optimality

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A stabilized finite element method for advection-diffusion equations on surfaces

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drt016 ◽

2013 ◽

Vol 34 (2) ◽

pp. 732-758 ◽

Cited By ~ 38

Author(s):

M. A. Olshanskii ◽

A. Reusken ◽

X. Xu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Advection Diffusion ◽

Element Method

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A Nonconforming Finite Element Method with Face Penalty for Advection—Diffusion Equations

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-34288-5_47 ◽

2007 ◽

pp. 512-519

Author(s):

L. El Alaoui ◽

A. Ern ◽

E. Burman

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Method ◽

Advection Diffusion ◽

Element Method

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Mixed Finite Element Methods on Polyhedral Meshes for Diffusion Equations

Partial Differential Equations - Computational Methods in Applied Sciences ◽

10.1007/978-1-4020-8758-5_2 ◽

2008 ◽

pp. 27-41 ◽

Cited By ~ 1

Author(s):

Yuri A. Kuznetsov

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Polyhedral Meshes

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