Transcription of INTRODUCTION TO FINITE ELEMENT METHODS
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INTRODUCTION TO FINITE ELEMENT METHODS
INTRODUCTION TO FINITE ELEMENT METHODSLONG CHENF inite ELEMENT METHODS are based on the variational formulation of partial differentialequations which only need to compute the gradient of a function. Although unknowns arestill associated to nodes, the function composed by piece-wise polynomials on each ele-ment and thus the gradient can be computed ELEMENT -wise. FINITE ELEMENT spaces can thusbe constructed on general triangulations and this method is able to handle complex geome-tries and boundaries. Boundary condition is naturally build into the weak formulation orthe function space. The variational approach also give solid mathematical foundation andmake the error analysis more systematic. Generally speaking, FINITE ELEMENT METHODS isthe method of choice in all types of analysis for elliptic equations in complex GALERKINMETHODSThe FINITE ELEMENT METHODS have been introduced as METHODS for approximate solutionof variational problems.
Generally speaking, finite element methods is the method of choice in all types of analysis for elliptic equations in complex domains. 1. GALERKIN METHODS The finite element methods have been introduced as methods for approximate solution ... INTRODUCTION TO FINITE ELEMENT METHODS 3
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