Continuation for parametrized nonlinear variational inequalities

Erich Miersemann; Hans Mittelmann

doi:10.1016/0377-0427(89)90145-3

Continuation for parametrized nonlinear variational inequalities

Erich Miersemann, Hans Mittelmann

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

A theoretical foundation is given for a recently proposed continuation method for nonlinear variational inequalities that depend on a parameter. The use of a specific norm of the solution for the continuation permits to extend known theoretical results for this problem. Additionally extensive numerical results were obtained that not only show the effectiveness of the proposed method. They also clarify the phenomenon of discrete or spurious transition points observed earlier.

Original language	English (US)
Pages (from-to)	23-34
Number of pages	12
Journal	Journal of Computational and Applied Mathematics
Volume	26
Issue number	1-2
DOIs	https://doi.org/10.1016/0377-0427(89)90145-3
State	Published - Jun 1989

Keywords

Continuation
bifurcation
limit points
nonlinear eigenvalue problems
obstacle problems
transition points
variational inequalities

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/0377-0427(89)90145-3

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title = "Continuation for parametrized nonlinear variational inequalities",

abstract = "A theoretical foundation is given for a recently proposed continuation method for nonlinear variational inequalities that depend on a parameter. The use of a specific norm of the solution for the continuation permits to extend known theoretical results for this problem. Additionally extensive numerical results were obtained that not only show the effectiveness of the proposed method. They also clarify the phenomenon of discrete or spurious transition points observed earlier.",

keywords = "Continuation, bifurcation, limit points, nonlinear eigenvalue problems, obstacle problems, transition points, variational inequalities",

author = "Erich Miersemann and Hans Mittelmann",

note = "Funding Information: * Supported by the Air Force Office of Scientific Research under Grant AFOSR-84-0315.",

year = "1989",

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AU - Miersemann, Erich

AU - Mittelmann, Hans

N1 - Funding Information: * Supported by the Air Force Office of Scientific Research under Grant AFOSR-84-0315.

PY - 1989/6

Y1 - 1989/6

N2 - A theoretical foundation is given for a recently proposed continuation method for nonlinear variational inequalities that depend on a parameter. The use of a specific norm of the solution for the continuation permits to extend known theoretical results for this problem. Additionally extensive numerical results were obtained that not only show the effectiveness of the proposed method. They also clarify the phenomenon of discrete or spurious transition points observed earlier.

AB - A theoretical foundation is given for a recently proposed continuation method for nonlinear variational inequalities that depend on a parameter. The use of a specific norm of the solution for the continuation permits to extend known theoretical results for this problem. Additionally extensive numerical results were obtained that not only show the effectiveness of the proposed method. They also clarify the phenomenon of discrete or spurious transition points observed earlier.

KW - Continuation

KW - bifurcation

KW - limit points

KW - nonlinear eigenvalue problems

KW - obstacle problems

KW - transition points

KW - variational inequalities

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JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2

ER -

Continuation for parametrized nonlinear variational inequalities

Abstract

Keywords

ASJC Scopus subject areas

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