Finite element method: Difference between revisions

Revision as of 07:41, 27 January 2004

Revision as of 08:19, 27 January 2004

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# ''u'' is twice differentiable over '''R'''² in the sense of multivariate calculus.

# ''u_xx''+''u_yy''=''g'' in T

# ''u''(x,y)=''u''(''x''+1,''y'')=''u''(''x'',''y''+1), that is, ''u'' is periodic in ''x'' and in ''y'', and of period 1 in both directiondirections [more generally, the boundary condition should be ''homogeneous'', i.e, if ''u'' and ''v'' both satisfy it, then so should ''au''+''bv''.].

This problem can be rephrased in terms of linear maps and vector spaces.