Consider the error equation Ae = r, at a single point where A corresponds to the...

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Consider the error equation Ae = r, at a single point where A corresponds to the 1-d model elliptic equation. (a). Show that if e is smooth, then ||r|| < ||A||||e||. (b). Show that if e is oscillatory, the ||r|| is large. Consider the error equation Ae = r, at a single point where A corresponds to the 1-d model elliptic equation. (a). Show that if e is smooth, then ||r|| < ||A||||e||. (b). Show that if e is oscillatory, the ||r|| is large.