On the $L\sp{\infty }$-convergence of Galerkin approximations for second-order hyperbolic equations
نویسندگان
چکیده
منابع مشابه
On the L°°-Convergence of Galerkin Approximations for Second-Order Hyperbolic Equations
It is shown that certain classes of high order accurate Galerkin approximations for homogeneous second-order hyperbolic equations, known to possess optimal 2 °° order rate of convergence in L , also possess optimal order rate of convergence in L . This is attainable with particular smoothness assumptions on the initial data. We establish sufficient conditions for optimal L -convergence of the a...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1980
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1980-0559193-3