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FEATool Multiphysics
v1.17.1
Finite Element Analysis Toolbox
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FEATool Multiphysics
v1.17.1
Finite Element Analysis Toolbox
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ASSEMBLENJAC Assembly of defect and Newton Jacobian.
[ D, J ] = ASSEMBLENJAC( U, PROB, VARARGIN ) Evaluates defect with solution vector U and optionally assembles the nonlinear Jacobian matrix. Accepts optional propery value pairs in VARARGIN.
Input Value/[Size] Description
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u vector [n_u,1] Solution vector for linearization point
prob struct Problem definition struct
jac scalar/struct {0} Jacobian computation type
. - Direct assembly using symbolic jac.form
and jac.coef struct contents
0 - Assembly using numerical differentiation
>0 - Directional Jacobian (jac = i_sdim dir.)
<0 - Numeric Mat-Prod Jacobian construction
du scalar {1e-8} Magnitude of numerical differentiation shift
icub scalar {2} Numerical integration rule
n_cmax scalar {50000} Max number of cells to assemble
for at once (to limit memory consumption)
f_sparse logical {true} Return sparse/struct matrix format
.
Output Value/[Size] Description
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d vector [n_u,1] Defect vector, d := f(u) - A(u)*u
J sparse [n_u,n_u] Assembled Jacobian matrix (optional output)