1 option
Numerical solution of variational inequalities by adaptive finite elements / Franz-Theo Suttmeier.
- Format:
- Book
- Author/Creator:
- Suttmeier, Franz-Theo.
- Series:
- Wiley-Teubner series, advances in numerical mathematics.
- Advances in numerical mathematics
- Language:
- English
- Subjects (All):
- Finite element method.
- Variational inequalities (Mathematics).
- Error analysis (Mathematics).
- Differential equations, Partial--Numerical solutions.
- Differential equations, Partial.
- Physical Description:
- 1 online resource (171 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Wiesbaden : Vieweg + Teubner Research, 2008.
- Language Note:
- English
- Summary:
- Franz-Theo Suttmeier describes a general approach to a posteriori error estimation and adaptive mesh design for finite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the so-called Dual-Weighted-Residual method (DWR method) which is based on a variational formulation of the problem and uses global duality arguments for deriving weighted a posteriori error estimates with respect to arbitrary functionals of the error. In these estimates local residuals of the computed solution are multiplied by sensitivity factors which are obtained from a numerically computed dual solution. The resulting local error indicators are used in a feed-back process for generating economical meshes which are tailored according to the particular goal of the computation. This method is developed here for several model problems. Based on these examples, a general concept is proposed, which provides a systematic way of adaptive error control for problems stated in form of variational inequalities.
- Contents:
- Models in elasto-plasticity
- The dual-weighted-residual method
- Extensions to stabilised schemes
- Obstacle problem
- Signorini’s problem
- Strang’s problem
- General concept
- Lagrangian formalism
- Obstacle problem revisited
- Variational inequalities of second kind
- Time-dependent problems
- Applications
- Iterative Algorithms
- Conclusion.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. [155]-161).
- ISBN:
- 3-8348-9546-6
- OCLC:
- 325000443
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.