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Results tagged with elliptic-pde
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user 48757
Questions about partial differential equations of elliptic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
0
votes
0
answers
32
views
Elliptic operators with Robin boundary conditions
Can it be proved that two elliptic operators with Robin boundary conditions generate an interval $P$-matrix?
$$
-a\Delta u_i = f_i, \quad a\frac{\partial u_i}{\partial n} + bu_i = 0
$$
$$
-a\Delta v_i …
- 243
1
vote
0
answers
134
views
Monotonic convergence of Newton's method for boundary value problems
I’m interested in solving nonlinear elliptic boundary value problems of the type
$$
-a\Delta u + f(u) = 0,
$$
$$
u|_\Gamma = u_0
$$
by Newton’s method when its convergence is global and monotonic.
Cou …
- 243