BOUNDARY AND INTERFACE CONDITIONS WITHIN A FINITE-ELEMENT PRECONDITIONER FOR SPECTRAL METHODS

被引：17

作者：

CANUTO, C ^{[1
]}

PIETRA, P ^{[1
]}

机构：

[1] CNR,IST ANAL NUMER,I-27100 PAVIA,ITALY

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1990年 / 91卷 / 02期

关键词：

D O I：

10.1016/0021-9991(90)90040-8

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The performances of a finite element preconditioner in the iterative solution of spectral collocation schemes for elliptic boundary value problems is investigated. It is shown how to make the preconditioner cheap by ADI iterations and how to take advantage of the finite element properties in enforcing Neumann and interface conditions in the spectral schemes. © 1990.

引用

页码：310 / 343

页数：34

共 18 条

[11]

FUNARO D, 1981, THESIS U PAVIA

[12] TSCHEBYSCHEV 3-D SPECTRAL AND 2-D PSEUDOSPECTRAL SOLVERS FOR THE HELMHOLTZ-EQUATION [J].

HALDENWANG, P ;

LABROSSE, G ;

ABBOUDI, S ;

DEVILLE, M .

JOURNAL OF COMPUTATIONAL PHYSICS, 1984, 55 (01) :115-128

[13] GALERKIN ALTERNATING-DIRECTION METHODS FOR NON-RECTANGULAR REGIONS USING PATCH APPROXIMATIONS [J].

HAYES, LJ .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1981, 18 (04) :627-643

[14]

MARION Y, 1986, 6EME C INT SIM EC EL

[15] SPECTRAL METHODS FOR PROBLEMS IN COMPLEX GEOMETRIES [J].

ORSZAG, SA .

JOURNAL OF COMPUTATIONAL PHYSICS, 1980, 37 (01) :70-92

[16] THE NUMERICAL SOLUTION OF PARABOLIC AND ELLIPTIC DIFFERENTIAL EQUATIONS [J].

PEACEMAN, DW ;

RACHFORD, HH .

JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1955, 3 (01) :28-41

[17] PRECONDITIONED CONJUGATE RESIDUAL METHODS FOR THE SOLUTION OF SPECTRAL EQUATIONS [J].

WONG, YS ;

ZANG, TA ;

HUSSAINI, MY .

COMPUTERS & FLUIDS, 1986, 14 (02) :85-95

[18]

Yanenko N. N., 1971, METHOD FRACTIONAL ST

← 1 2 →