A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems

Journal of Scientific Computing ◽

10.1007/s10915-018-0756-0 ◽

2018 ◽

Vol 77 (1) ◽

pp. 467-501 ◽

Author(s):

Hailiang Liu ◽

Peimeng Yin

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Time Dependent ◽

Interior Penalty ◽

Fourth Order Problems

Download Full-text

Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems

SIAM Journal on Numerical Analysis ◽

10.1137/080737472 ◽

2009 ◽

Vol 47 (5) ◽

pp. 3240-3268 ◽

Author(s):

Bo Dong ◽

Chi-Wang Shu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Linear Time ◽

Local Discontinuous Galerkin Method ◽

Time Dependent ◽

Local Discontinuous Galerkin ◽

Fourth Order Problems

Download Full-text

Superconvergence of the local discontinuous Galerkin method for linear fourth-order time-dependent problems in one space dimension

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drr047 ◽

2012 ◽

Vol 32 (4) ◽

pp. 1294-1328 ◽

Author(s):

X. Meng ◽

C.-W. Shu ◽

B. Wu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Space Dimension ◽

Local Discontinuous Galerkin Method ◽

Time Dependent ◽

Local Discontinuous Galerkin ◽

Time Dependent Problems ◽

One Space Dimension

Download Full-text

Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems

Applied Mathematical Modelling ◽

10.1016/j.apm.2013.07.040 ◽

2014 ◽

Vol 38 (4) ◽

pp. 1511-1522 ◽

Author(s):

Leilei Wei ◽

Yinnian He

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Local Discontinuous Galerkin Method ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Fourth Order Problems

Download Full-text

A C 0 interior penalty discontinuous Galerkin method for fourth‐order total variation flow. I: Derivation of the method and numerical results

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22359 ◽

2019 ◽

Vol 35 (4) ◽

pp. 1458-1476 ◽

Author(s):

Chandi Bhandari ◽

Ronald H.W. Hoppe ◽

Rahul Kumar

Keyword(s):

Galerkin Method ◽

Total Variation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Numerical Results ◽

Interior Penalty ◽

Total Variation Flow

Download Full-text

A C 0 interior penalty discontinuous Galerkin Method for fourth‐order total variation flow. II: Existence and uniqueness

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22365 ◽

2019 ◽

Vol 35 (4) ◽

pp. 1477-1496

Author(s):

Chandi Bhandari ◽

Ronald H.W. Hoppe ◽

Rahul Kumar

Keyword(s):

Galerkin Method ◽

Total Variation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Existence And Uniqueness ◽

Interior Penalty ◽

Total Variation Flow

Download Full-text

Interior Penalty Discontinuous Galerkin Method for Maxwell’s Equations in Cold Plasma

Journal of Scientific Computing ◽

10.1007/s10915-009-9300-6 ◽

2009 ◽

Vol 41 (3) ◽

pp. 321-340 ◽

Author(s):

Yunqing Huang ◽

Jichun Li

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Cold Plasma ◽

Maxwell's Equations ◽

Interior Penalty

Download Full-text

Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.06.003 ◽

2014 ◽

Vol 255 ◽

pp. 432-440 ◽

Author(s):

Lin Mu ◽

Junping Wang ◽

Yanqiu Wang ◽

Xiu Ye

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Interior Penalty ◽

Polyhedral Meshes

Download Full-text

A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-012-9637-0 ◽

2012 ◽

Vol 54 (2-3) ◽

pp. 663-683 ◽

Author(s):

Jue Yan

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Dependent ◽

Diffusion Equations ◽

Convection Diffusion

Download Full-text

An efficient Monte Carlo interior penalty discontinuous Galerkin method for elastic wave scattering in random media

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.10.036 ◽

2017 ◽

Vol 315 ◽

pp. 141-168 ◽

Author(s):

X. Feng ◽

C. Lorton

Keyword(s):

Monte Carlo ◽

Elastic Wave ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Wave Scattering ◽

Random Media ◽

Interior Penalty ◽

Elastic Wave Scattering

Download Full-text

An unfitted interior penalty discontinuous Galerkin method for incompressible Navier-Stokes two-phase flow

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3653 ◽

2012 ◽

Vol 71 (3) ◽

pp. 269-293 ◽

Author(s):

F. Heimann ◽

C. Engwer ◽

O. Ippisch ◽

P. Bastian

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Navier Stokes ◽

Two Phase ◽

Interior Penalty

Download Full-text