APPLICATION OF MIXED EXPLICIT-IMPLICIT FINITE ELEMENT METHOD TO NONLINEAR DIFFUSION-TYPE PROBLEMS.

S. P. Neuman; T. N. Narasimhan; P. A. Witherspoon

APPLICATION OF MIXED EXPLICIT-IMPLICIT FINITE ELEMENT METHOD TO NONLINEAR DIFFUSION-TYPE PROBLEMS.

S. P. Neuman, T. N. Narasimhan, P. A. Witherspoon

Hydrology and Water Resources

Research output: Contribution to conference › Paper › peer-review

6 Scopus citations

Abstract

The point iterative nature of the solution process makes the mixed approach ideally suited for the treatment of quasilinear problems in which the conductances, capacitances, source terms, and boundary conditions vary with the dependent variable or with time. To demonstrate the accuracy and flexibility of the new approach, the paper considers three different types of problems with varying degrees of nonlinearity that are commonly encountered in subsurface hydrology; saturated unconfined flow governed by the Boussinesq equation; unsaturated flow governed by the diffusion equation; and saturated-unsaturated flow governed by the Richards equation.

Original language	English (US)
Pages	1. 153-1. 186
State	Published - 1977
Event	Proc of the Int Conf on Finite Elem in Water Resour, 1st - Princeton, NJ, USA Duration: Jul 12 1976 → Jul 16 1976

Other

Other	Proc of the Int Conf on Finite Elem in Water Resour, 1st
City	Princeton, NJ, USA
Period	7/12/76 → 7/16/76

ASJC Scopus subject areas

Engineering(all)

Cite this

@conference{9869cc9366244a28a6145471a59124d6,

title = "APPLICATION OF MIXED EXPLICIT-IMPLICIT FINITE ELEMENT METHOD TO NONLINEAR DIFFUSION-TYPE PROBLEMS.",

abstract = "The point iterative nature of the solution process makes the mixed approach ideally suited for the treatment of quasilinear problems in which the conductances, capacitances, source terms, and boundary conditions vary with the dependent variable or with time. To demonstrate the accuracy and flexibility of the new approach, the paper considers three different types of problems with varying degrees of nonlinearity that are commonly encountered in subsurface hydrology; saturated unconfined flow governed by the Boussinesq equation; unsaturated flow governed by the diffusion equation; and saturated-unsaturated flow governed by the Richards equation.",

author = "Neuman, {S. P.} and Narasimhan, {T. N.} and Witherspoon, {P. A.}",

year = "1977",

language = "English (US)",

pages = "1. 153--1. 186",

note = "Proc of the Int Conf on Finite Elem in Water Resour, 1st ; Conference date: 12-07-1976 Through 16-07-1976",

}

TY - CONF

T1 - APPLICATION OF MIXED EXPLICIT-IMPLICIT FINITE ELEMENT METHOD TO NONLINEAR DIFFUSION-TYPE PROBLEMS.

AU - Neuman, S. P.

AU - Narasimhan, T. N.

AU - Witherspoon, P. A.

PY - 1977

Y1 - 1977

N2 - The point iterative nature of the solution process makes the mixed approach ideally suited for the treatment of quasilinear problems in which the conductances, capacitances, source terms, and boundary conditions vary with the dependent variable or with time. To demonstrate the accuracy and flexibility of the new approach, the paper considers three different types of problems with varying degrees of nonlinearity that are commonly encountered in subsurface hydrology; saturated unconfined flow governed by the Boussinesq equation; unsaturated flow governed by the diffusion equation; and saturated-unsaturated flow governed by the Richards equation.

AB - The point iterative nature of the solution process makes the mixed approach ideally suited for the treatment of quasilinear problems in which the conductances, capacitances, source terms, and boundary conditions vary with the dependent variable or with time. To demonstrate the accuracy and flexibility of the new approach, the paper considers three different types of problems with varying degrees of nonlinearity that are commonly encountered in subsurface hydrology; saturated unconfined flow governed by the Boussinesq equation; unsaturated flow governed by the diffusion equation; and saturated-unsaturated flow governed by the Richards equation.

UR - http://www.scopus.com/inward/record.url?scp=0017429713&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0017429713&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:0017429713

SP - 1. 153-1. 186

T2 - Proc of the Int Conf on Finite Elem in Water Resour, 1st

Y2 - 12 July 1976 through 16 July 1976

ER -

APPLICATION OF MIXED EXPLICIT-IMPLICIT FINITE ELEMENT METHOD TO NONLINEAR DIFFUSION-TYPE PROBLEMS.

Abstract

Other

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this