Convergence of the interpolated coefficient finite element method for the two-dimensional elliptic sine-Gordon equations

An interpolated coefficient finite element method is presented and analyzed for the two-dimensional elliptic sine-Gordon equations with Dirichlet boundary conditions. It is proved that the discretization scheme admits at least one solution, and that a subsequence of the approximation solutions converges to an exact solution in L2-norm as the mesh size tends to zero. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010

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Original source : http://dx.doi.org/10.1002%2Fnum.20526...