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Note that the second term in (10.30) is strictly positive whenever un+1 = un (because of the Poincaré–Friedrichs inequality), so the semidiscrete kinetic energy decreases monotonically, ... 102 10° X X 00000000 O 10-1 10° '1 —2.
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The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow.