Hybridization and stabilization for hp-finite element methods

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.09.017 ◽

2019 ◽

Vol 136 ◽

pp. 66-102 ◽

Cited By ~ 2

Author(s):

Lothar Banz ◽

Jan Petsche ◽

Andreas Schröder

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Hp Finite Element

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On the Parallelization of Self-Adaptive hp-Finite Element Methods Part I. Composite Programmable Graph GrammarModel

Fundamenta Informaticae ◽

10.3233/fi-2009-111 ◽

2009 ◽

Vol 93 (4) ◽

pp. 411-434 ◽

Cited By ~ 6

Author(s):

Maciej Paszyński

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Self Adaptive ◽

Hp Finite Element

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hp-Finite Element Methods for Singular Perturbations

10.1007/b84212 ◽

2002 ◽

Cited By ~ 44

Author(s):

Jens M. Melenk

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Singular Perturbations ◽

Hp Finite Element

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Progress on adaptive hp-finite element methods for the incompressible Navier-Stokes equations

Computational Mechanics ◽

10.1007/bf00350097 ◽

1993 ◽

Vol 11 (5-6) ◽

pp. 421-432 ◽

Cited By ~ 13

Author(s):

J. T. Oden ◽

S. R. Kennon ◽

W. W. Tworzydlo ◽

J. M. Bass ◽

C. Berry

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Hp Finite Element

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The Stability of Mixed hp-Finite Element Methods for Stokes Flow on High Aspect Ratio Elements

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142999365400 ◽

2000 ◽

Vol 38 (5) ◽

pp. 1721-1761 ◽

Cited By ~ 19

Author(s):

Mark Ainsworth ◽

Patrick Coggins

Keyword(s):

Finite Element ◽

Aspect Ratio ◽

Finite Element Methods ◽

Stokes Flow ◽

High Aspect Ratio ◽

The Stability ◽

Hp Finite Element

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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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Computational techniques for adaptive hp finite element methods

Finite Elements in Analysis and Design ◽

10.1016/s0168-874x(96)00053-4 ◽

1997 ◽

Vol 25 (1-2) ◽

pp. 27-39 ◽

Cited By ~ 6

Author(s):

Abani Patra ◽

J. Tinsley Oden

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Computational Techniques ◽

Hp Finite Element

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Problem decomposition for adaptive hp finite element methods

Computing Systems in Engineering ◽

10.1016/0956-0521(95)00008-n ◽

1995 ◽

Vol 6 (2) ◽

pp. 97-109 ◽

Cited By ~ 44

Author(s):

Abani Patra ◽

J.Tinsley Oden

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Problem Decomposition ◽

Hp Finite Element

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Parallel Domain Decomposition Solver for Adaptive hp Finite Element Methods

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142994278887 ◽

1997 ◽

Vol 34 (6) ◽

pp. 2090-2118 ◽

Cited By ~ 31

Author(s):

J. T. Oden ◽

Abani Patra ◽

Yusheng Feng

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Finite Element Methods ◽

Hp Finite Element

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A note onp/hp finite element methods for reaction-diffusion problems in polygonal domains

Communications in Numerical Methods in Engineering ◽

10.1002/1099-0887(200006)16:6<391::aid-cnm342>3.0.co;2-0 ◽

2000 ◽

Vol 16 (6) ◽

pp. 391-400

Author(s):

Christos Xenophontos

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Reaction Diffusion ◽

Polygonal Domains ◽

Diffusion Problems ◽

Hp Finite Element

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Adaptive energy minimisation for hp-finite element methods

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.01.002 ◽

2016 ◽

Vol 71 (4) ◽

pp. 977-990 ◽

Cited By ~ 1

Author(s):

Paul Houston ◽

Thomas P. Wihler

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Energy Minimisation ◽

Hp Finite Element

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