High-Order Finite Element Methods for Singularly Perturbed Elliptic and Parabolic Problems

SIAM Journal on Applied Mathematics ◽

10.1137/s0036139993269345 ◽

1995 ◽

Vol 55 (2) ◽

pp. 520-543 ◽

Author(s):

Slimane Adjerid ◽

Mohammed Aiffa ◽

Joseph E. Flaherty

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Singularly Perturbed ◽

Parabolic Problems

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High-Order Finite Element Methods for Singularly-Perturbed Elliptic and Parabolic Problems.

10.21236/ada290410 ◽

1993 ◽

Author(s):

Slimane Adjerid ◽

Mohammed Aiffa ◽

Joseph E. Flaherty

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Singularly Perturbed ◽

Parabolic Problems

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Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. II: convection-diffusion-type problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/15.2.197 ◽

1995 ◽

Vol 15 (2) ◽

pp. 197-219 ◽

Author(s):

GUANGFU SUN ◽

MARTIN STYNE

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Diffusion Type ◽

Convection Diffusion

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Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: reaction-diffusion-type problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/15.1.117 ◽

1995 ◽

Vol 15 (1) ◽

pp. 117-139 ◽

Author(s):

GUANGFU SUN ◽

MARTIN STYNES

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Boundary Value ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Point Boundary ◽

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Stabilized finite element methods for singularly perturbed parabolic problems

Applied Numerical Mathematics ◽

10.1016/0168-9274(95)00024-o ◽

1995 ◽

Vol 17 (4) ◽

pp. 431-459 ◽

Author(s):

G. Lube ◽

D. Weiss

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Stabilized Finite Element Methods ◽

Stabilized Finite Element ◽

Singularly Perturbed Parabolic Problems

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HOFEM07 – International workshop on high-order finite element methods, 2007

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.01.002 ◽

2009 ◽

Vol 198 (13-14) ◽

pp. 1125

Author(s):

Ernst Rank ◽

Zohar Yosibash ◽

Alexander Düster

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

International Workshop ◽

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Semi-automatic sparse preconditioners for high-order finite element methods on non-uniform meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2012.03.013 ◽

2012 ◽

Vol 231 (14) ◽

pp. 4694-4708 ◽

Author(s):

Travis M. Austin ◽

Marian Brezina ◽

Ben Jamroz ◽

Chetan Jhurani ◽

Thomas A. Manteuffel ◽

...

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

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Finite element methods for nonlinear elliptic and parabolic problems with memory properties

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1103149967 ◽

1999 ◽

Vol 6 (1) ◽

pp. 1-67 ◽

Author(s):

Roger Van Keer ◽

Luc Dupré

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Problems ◽

Nonlinear Elliptic ◽

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Construction of locally conservative fluxes for high order continuous Galerkin finite element methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.03.049 ◽

2019 ◽

Vol 359 ◽

pp. 166-181

Author(s):

Quanling Deng ◽

Victor Ginting ◽

Bradley McCaskill

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Continuous Galerkin ◽

Order Continuous ◽

Locally Conservative

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An implicit block ILU smoother for preconditioning of Newton–Krylov solvers with application in high-order stabilized finite-element methods

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112637 ◽

2020 ◽

Vol 358 ◽

pp. 112637 ◽

Author(s):

Behzad R. Ahrabi ◽

Dimitri J. Mavriplis

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stabilized Finite Element Methods ◽

Stabilized Finite Element

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Superconvergence ofH1-Galerkin mixed finite element methods for parabolic problems

Applicable Analysis ◽

10.1080/00036810903208163 ◽

2009 ◽

Vol 88 (8) ◽

pp. 1213-1231 ◽

Author(s):

Madhusmita Tripathy ◽

Rajen K. Sinha

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Parabolic Problems

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