Variational Equations and Inequalities

Weimin Han; B. Daya Reddy

doi:10.1007/978-1-4614-5940-8_6

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Book chapter

Variational Equations and Inequalities

Weimin Han and B. Daya Reddy

Plasticity, pp.151-185

Interdisciplinary Applied Mathematics, Springer New York

10/26/2012

DOI: 10.1007/978-1-4614-5940-8_6

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Abstract

In this chapter we review some standard results for boundary value and initial–boundary value problems, paying particular attention to weak or variational formulations. The first section will be concerned with elliptic variational equations, and this will be followed by a review of some material on elliptic variational inequalities. Because the variational form taken by elastoplastic problems resembles that of parabolic variational inequalities, we also include some material on this class of problems.

Bilinear Form

Convex Subset

Variational Equation

Variational Inequality

Weak Formulation

Details

Title: Subtitle: Variational Equations and Inequalities
Creators: Weimin Han - University of Iowa
B. Daya Reddy - University of Cape Town
Resource Type: Book chapter
Publication Details: Plasticity, pp.151-185
Publisher: Springer New York; New York, NY
Series: Interdisciplinary Applied Mathematics
DOI: 10.1007/978-1-4614-5940-8_6
eISSN: 2196-9973
ISSN: 0939-6047
Language: English
Date published: 10/26/2012
Academic Unit: Mathematics
Record Identifier: 9984241159802771

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