Convergence and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method

A C0 Interior Penalty Finite Element Method for Flexoelectricity

Journal of Scientific Computing ◽

10.1007/s10915-021-01613-w ◽

2021 ◽

Vol 88 (3) ◽

Author(s):

Jordi Ventura ◽

David Codony ◽

Sonia Fernández-Méndez

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interior Penalty ◽

Continuous interior penalty finite element method for a 6th-order bending gradient elastic (nano)beam equation

10.1063/1.5044101 ◽

2018 ◽

Cited By ~ 1

Author(s):

Konstantinos G. Eptaimeros

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Beam Equation ◽

Interior Penalty ◽

An Interior Penalty Finite Element Method with Discontinuous Elements

SIAM Journal on Numerical Analysis ◽

10.1137/0719052 ◽

1982 ◽

Vol 19 (4) ◽

pp. 742-760 ◽

Cited By ~ 849

Author(s):

Douglas N. Arnold

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interior Penalty ◽

Discontinuous Elements ◽

Convergence analysis of an adaptive continuous interior penalty finite element method for the Helmholtz equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.02.004 ◽

2015 ◽

Vol 426 (2) ◽

pp. 1061-1079 ◽

Cited By ~ 1

Author(s):

Zhenhua Zhou ◽

Lingxue Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Helmholtz Equation ◽

Convergence Analysis ◽

Interior Penalty ◽

Continuous Interior Penalty Finite Element Method for Oseen's Equations

SIAM Journal on Numerical Analysis ◽

10.1137/040617686 ◽

2006 ◽

Vol 44 (3) ◽

pp. 1248-1274 ◽

Cited By ~ 96

Author(s):

Erik Burman ◽

Miguel A. Fernández ◽

Peter Hansbo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interior Penalty ◽

A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem

Computational and Applied Mathematics ◽

10.1007/s40314-016-0339-3 ◽

2016 ◽

Vol 37 (1) ◽

pp. 175-190

Author(s):

Helena Zarin ◽

Hans-Görg Roos ◽

Ljiljana Teofanov

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problem ◽

Boundary Value ◽

Singularly Perturbed ◽

Third Order ◽

Interior Penalty ◽

Continuous interior penalty finite element method for the time-dependent Navier–Stokes equations: space discretization and convergence

Numerische Mathematik ◽

10.1007/s00211-007-0070-5 ◽

2007 ◽

Vol 107 (1) ◽

pp. 39-77 ◽

Cited By ~ 50

Author(s):

Erik Burman ◽

Miguel A. Fernández

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Interior Penalty ◽

Navier Stokes Equations ◽

Space Discretization ◽

Comparison of natural boundary conditions of pressure and traction in a penalty finite element method.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.51.2338 ◽

1985 ◽

Vol 51 (467) ◽

pp. 2338-2344

Author(s):

Yuzuru EGUCHI ◽

Genki YAGAWA

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Conditions ◽

Natural Boundary ◽

Natural Boundary Conditions ◽

A decoupling penalty finite element method for the stationary incompressible MagnetoHydroDynamics equation

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2018.08.096 ◽

2019 ◽

Vol 128 ◽

pp. 601-612 ◽

Cited By ~ 2

Author(s):

Jien Deng ◽

Zhiyong Si

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stationary Incompressible Magnetohydrodynamics ◽

Magnetohydrodynamics Equation ◽

Incompressible Magnetohydrodynamics ◽

A Penalty Finite Element Method for a Fluid System Posed on Embedded Surface

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-019-0420-y ◽

2019 ◽

Vol 21 (1) ◽

Cited By ~ 3

Author(s):

Maxim A. Olshanskii ◽

Vladimir Yushutin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fluid System ◽