Finite Element Approximation of the Dirichlet Problem Using the Boundary Penalty Method
نویسندگان
چکیده
This paper considers a finite element approximation of the Dirichlet problem for a second order self-adjoint elliptic equation, A u =f, in a region f 2 c N " (n=2 or 3) by the boundary penalty method. If the finite element space defined over D h, a union of elements, has approximation power h ~ in the L 2 norm, then (i) for f2=D h convex polyhedral, we show that choosing the penalty parameter e = h x with 2 > K yields optimal H 1 and L 2 error bounds if u~HK+I(Q);
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