Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/12798
Title: Discontinuous Galerkin method for monotone nonlinear elliptic problems
Authors: Bi, C
Lin, Y 
Keywords: A posteriori error estimate
A priori error estimate
Discontinuous Galerkin method
Monotone
Nonlinear elliptic problems
Issue Date: 2012
Publisher: Institute for Scientific Computing and Information
Source: International journal of numerical analysis and modeling, 2012, v. 9, no. 4, p. 991024- How to cite?
Journal: International journal of numerical analysis and modeling 
Abstract: In this paper, we consider the incomplete interior penalty method for a class of second order monotone nonlinear elliptic problems. Using the theory of monotone operators, we show that the corresponding discrete method has a unique solution. The a priori error estimate in an energy norm is developed under the minimal regularity assumption on the exact solution, i.e., u Ie{cyrillic, ukrainian} H1 (Ω). Moreover, we propose a residual-based a posteriori error estimator and derive the computable upper and lower bounds on the error in an energy norm.
URI: http://hdl.handle.net/10397/12798
EISSN: 1705-5105
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