Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number

Advances in Computational Mathematics ◽

10.1007/s10444-019-09737-2 ◽

2019 ◽

Vol 45 (5-6) ◽

pp. 3265-3291

Author(s):

Peipei Lu ◽

Haijun Wu ◽

Xuejun Xu

Keyword(s):

Finite Element ◽

Maxwell Equation ◽

Finite Element Methods ◽

Wave Number ◽

High Wave Number ◽

Interior Penalty ◽

High Wave ◽

Download Full-text

Linear continuous interior penalty finite element method for Helmholtz equation With High Wave Number: One-Dimensional Analysis

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22054 ◽

2016 ◽

Vol 32 (5) ◽

pp. 1378-1410 ◽

Author(s):

Erik Burman ◽

Haijun Wu ◽

Lingxue Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Helmholtz Equation ◽

Dimensional Analysis ◽

Wave Number ◽

High Wave Number ◽

Interior Penalty ◽

High Wave ◽

One Dimensional ◽

Penalty Finite Element Method

Download Full-text

A Robust Multilevel Method for the Time-harmonic Maxwell Equation with High Wave Number

SIAM Journal on Scientific Computing ◽

10.1137/15m1007033 ◽

2016 ◽

Vol 38 (2) ◽

pp. A856-A874

Author(s):

Peipei Lu ◽

Xuejun Xu

Keyword(s):

Maxwell Equation ◽

Wave Number ◽

Multilevel Method ◽

High Wave Number ◽

High Wave ◽

Download Full-text

An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number

Mathematics of Computation ◽

10.1090/mcom/3150 ◽

2016 ◽

Vol 86 (306) ◽

pp. 1553-1577 ◽

Author(s):

Peipei Lu ◽

Huangxin Chen ◽

Weifeng Qiu

Keyword(s):

Maxwell Equations ◽

Wave Number ◽

High Wave Number ◽

High Wave ◽

Download Full-text

Finite Element Solution to the Helmholtz Equation with High Wave Number. Part 1. The h-Version of the FEM

10.21236/ada277396 ◽

1993 ◽

Author(s):

Frank Ihlenburg ◽

Ivo Babuska

Keyword(s):

Finite Element ◽

Helmholtz Equation ◽

Finite Element Solution ◽

Wave Number ◽

Element Solution ◽

High Wave Number ◽

Download Full-text

Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903423460 ◽

2004 ◽

Vol 42 (2) ◽

pp. 553-575 ◽

Author(s):

Mark Ainsworth

Keyword(s):

Finite Element ◽

Dispersion Relation ◽

Finite Element Approximation ◽

Wave Number ◽

Element Approximation ◽

High Wave Number ◽

Download Full-text

Preasymptotic Error Analysis of High Order Interior Penalty Discontinuous Galerkin Methods for the Helmholtz Equation with High Wave Number

Journal of Scientific Computing ◽

10.1007/s10915-015-0074-8 ◽

2015 ◽

Vol 67 (1) ◽

pp. 130-152 ◽

Author(s):

Yu Du ◽

Lingxue Zhu

Keyword(s):

Error Analysis ◽

Helmholtz Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Wave Number ◽

Galerkin Methods ◽

High Wave Number ◽

Interior Penalty ◽

Download Full-text

Finite element solution of the Helmholtz equation with high wave number Part I: The h-version of the FEM

Computers & Mathematics with Applications ◽

10.1016/0898-1221(95)00144-n ◽

1995 ◽

Vol 30 (9) ◽

pp. 9-37 ◽

Author(s):

F. Ihlenburg ◽

I. Babuška

Keyword(s):

Finite Element ◽

Helmholtz Equation ◽

Finite Element Solution ◽

Wave Number ◽

Element Solution ◽

High Wave Number ◽

Download Full-text

Continuous interior penalty nite element methods for Helmholtz equation with high wave number

Scientia Sinica Mathematica ◽

10.1360/012012-15 ◽

2012 ◽

Vol 42 (5) ◽

pp. 429-444 ◽

Author(s):

HaiJun WU

Keyword(s):

Helmholtz Equation ◽

Wave Number ◽

High Wave Number ◽

Interior Penalty ◽

High Wave ◽

Download Full-text

Finite Element Solution to the Helmholtz Equation with High Wave Number. Part 2. The h-p Version of the FEM.

10.21236/ada290289 ◽

1994 ◽

Author(s):

Frank Ihlenburg ◽

Ivo M. Babuska

Keyword(s):

Finite Element ◽

Helmholtz Equation ◽

Finite Element Solution ◽

Wave Number ◽

Element Solution ◽

High Wave Number ◽

Download Full-text

Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142994272337 ◽

1997 ◽

Vol 34 (1) ◽

pp. 315-358 ◽

Author(s):

Frank Ihlenburg ◽

Ivo Babuska

Keyword(s):

Finite Element ◽

Helmholtz Equation ◽

Finite Element Solution ◽

Wave Number ◽

Element Solution ◽

High Wave Number ◽

Download Full-text