摘要:

AbstractWe derive stability properties and error estimates for the finite element method when used to approximate heat flow in a fluid enclosed by a solid medium. The coupled Navier Stokes system involves the Boussinesq equations in the fluid‐filled cavity linked through an interface with heat conduction in the solid enclosing the fluid. As we assume no extra regularity then can be shown to hold under mild restriction on the data (at least over a small time interval inR3), we focus primarily on low order finite element space

ISSN:0749-159X    

DOI:10.1002/num.1690060202

出版商:John Wiley&Sons, Inc.    

年代:1990

数据来源: WILEY

摘要:

AbstractA universal method for representing solutions of the initial value problemut= −2πiDuis presented for a large class of pseudo‐differential operators. The representations take the form of a path integral‐like operator. Three numerical approaches for evaluating these operators are treated. Practical interest in such universal methods depends on massively parallel computing s

ISSN:0749-159X    

DOI:10.1002/num.1690060203

出版商:John Wiley&Sons, Inc.    

年代:1990

数据来源: WILEY

摘要:

AbstractProcedures are developed that improve the applicability of the finite difference method to problems in solid mechanics. This is accomplished by formulating the coefficients of the Taylor series expansion used to approximate derivative quantities in terms of physically interpretable strain gradients. Improvements realized include modeling of boundary conditions that has intuitive appeal and the use of irregular grids in a natural manner. These developments are demonstrated for the analysis of plane stress problems with traction boundary conditions. The results compare well with finite element solutions. The approach suggests further generalization of the finite difference method.

ISSN:0749-159X    

DOI:10.1002/num.1690060204

出版商:John Wiley&Sons, Inc.    

年代:1990

数据来源: WILEY

摘要:

AbstractA numerical method, based on general finite difference forms, is introduced and applied for solving heat conduction problems in two‐dimensional domains of any shape and compounded by subdomains with differing thermal propertie

ISSN:0749-159X    

DOI:10.1002/num.1690060205

出版商:John Wiley&Sons, Inc.    

年代:1990

数据来源: WILEY

ISSN:0749-159X    

DOI:10.1002/num.1690060206

出版商:John Wiley&Sons, Inc.    

年代:1990

数据来源: WILEY

摘要:

AbstractIn this article we transform a large class of parabolic inverse problems into a nonclassical parabolic equation whose coefficients consist of trace type functionals of the solution and its derivatives subject to some initial and boundary conditions. For this nonclassical problem, we introduce a variational form by defining a new function. Both continuous and discrete Galerkin procedures are illustrated in this paper. The error estimates are also derived.

ISSN:0749-159X    

DOI:10.1002/num.1690060207

出版商:John Wiley&Sons, Inc.    

年代:1990

数据来源: WILEY

ISSN:0749-159X    

DOI:10.1002/num.1690060201

出版商:John Wiley&Sons, Inc.    

年代:1990

数据来源: WILEY