Parametric finite elements, exact sequences and perfectly matched layers

被引：30

作者：

Matuszyk, Pawel J. ^{[1
]}

Demkowicz, Leszek F. ^{[2
]}

机构：

[1] AGH Univ Sci & Technol, Dept Appl Comp Sci & Modeling, Krakow, Poland

[2] Univ Texas Austin, ICES, Austin, TX 78712 USA

来源：

COMPUTATIONAL MECHANICS | 2013年 / 51卷 / 01期

关键词：

Exact sequence; Perfectly matched layer; Parametric element; ABSORBING BOUNDARY-CONDITION; ELECTROMAGNETIC-WAVES; MEDIA; ELASTODYNAMICS; DERIVATION;

D O I：

10.1007/s00466-012-0702-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper establishes a relation between exact sequences, parametric finite elements, and perfectly matched layer (PML) techniques. We illuminate the analogy between the Piola-like maps used to define parametric H (1)-, H(curl)-, H(div)-, and L (2)-conforming elements, and the corresponding PML complex coordinates stretching for the same energy spaces. We deliver a method for obtaining PML-stretched bilinear forms (constituting the new weak formulation for the original problem with PML absorbing boundary layers) directly from their classical counterparts.

引用

页码：35 / 45

页数：11

共 21 条

[1] Stability of perfectly matched layers, group velocities and anisotropic waves [J].

Bécache, E ;

Fauqueux, S ;

Joly, P .

JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 188 (02) :399-433

[2] A PERFECTLY MATCHED LAYER FOR THE ABSORPTION OF ELECTROMAGNETIC-WAVES [J].

BERENGER, JP .

JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 114 (02) :185-200

[3] Perfectly matched layers for elastodynamics: A new absorbing boundary condition [J].

Chew, WC ;

Liu, QH .

JOURNAL OF COMPUTATIONAL ACOUSTICS, 1996, 4 (04) :341-359

[4] A 3D PERFECTLY MATCHED MEDIUM FROM MODIFIED MAXWELLS EQUATIONS WITH STRETCHED COORDINATES [J].

CHEW, WC ;

WEEDON, WH .

MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 1994, 7 (13) :599-604

[5]

Chew WC, 1997, IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM 1997, VOLS 1-4, P2060, DOI 10.1109/APS.1997.631834

[6] The perfectly matched layer in curvilinear coordinates [J].

Collino, F ;

Monk, P .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1998, 19 (06) :2061-2090

[7]

Demkowicz L., 2007, Computing with hp-Adaptive Finite Elements: Volume 2: Frontiers, V2

[8]

Demkowicz L, 2007, LECT NOTES MATH, V1939, P101

[9]

Demkowicz L., 2006, Computing with hp-Adaptive Finite Elements, One and Two Dimensional Elliptic and Maxwell Problems, V1

[10] The Newmark scheme as velocity-stress time-staggering: an efficient PML implementation for spectral element simulations of elastodynamics [J].

Festa, G ;

Vilotte, JP .

GEOPHYSICAL JOURNAL INTERNATIONAL, 2005, 161 (03) :789-812

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