THE K-VERSION OF FINITE ELEMENT METHOD FOR NONLINEAR OPERATORS IN BVP
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The variational aspects of the least squares finite element processes for non-linear partial differential equations of stationary processes are discussed. Variationally consistent least squares finite element method (LSFEM) using p-version basis functions in k,p() spaces provides a framework for numerical simulation of boundary value problems (BVP) described by nonlinear operators. The mathematical framework allows the numerical simulation of the theoretical solutions of any BVP problems regardless of the nature of the operator. The behaviours of problems in Galerkin method for non-linear differential operators in BVP are also discussed.
