COMSOL Multiphysics™

geominfo
no is a vector of the same size as Od, containing the number of primitive objects of
the dimension as specified in Od.
adj is a cell array of adjacency matrices, where adj{k} corresponds to Odp(:,k),
and is a sparse matrix where abs(sign(adj{k}(i,j))) = 1 iff object i of
dimension Odp(1,k) is adjacent to object j of dimension Odp(2,k). If the relation
Odp(1,k) and Odp(2,k) can be given an orientation, the matrix entries +1 and -1
denotes positive or negative orientation, respectively. If both oriented and non
orientable relations exist, -1,+1, and +2 are used, where +2 indicates a non oriented
relation. If Odp is a vector of length 2, then adj is a sparse matrix. For subdomain
information, the 0-domain is represented as output domain number 1. Thus, there
is always an offset of 1 for subdomains.
xx is a cell array of same size as Par containing coordinate information, where xx{m}
is an nm1-by-nm2-by-gd array, where gd is the geometry dimension, and nm1 and nm2
are given from the size of Par{m}{2}. If the outer curly brackets in Par are not
present, then xx is an n1-by-n2-by-gd array.
dx is a cell array of same size as Par containing first order derivative information for
edges or faces. For edges, the dx{m} has the same format as xx{m} above. For faces
dx{m} is a nm1-by-nm2-by-3-by-2 array, where the last dimension refers to the two
vectors, formed by the derivatives of u and v respectively, spanning the tangent
plane.
ddx is a cell array of same size as Par containing second order derivative information
for edges or faces. For edges, ddx{m} has the same format as xx{m}. For faces ddx
is a nm1-by-nm2-by-3-by-2-by-2 array, where the last two dimensions refer to the
2-by-2 matrix of second order derivatives in the parameters u and v.
nor is a cell array of same size as Par, where the contents are the normalized normal
vectors. They are given on the same format as the contents in xx.
ff1 is a cell array of same size as Par containing the first fundamental matrices of
faces, where ff1{m} is an array of size nm1-by-nm2-by-2-by-2. For a parameter point
given by the indices im1 and im2, the first fundamental matrix is given by GG =
reshape(ff1{m}(im1,im2,:,:),2,2) and the corresponding Jacobian is given
by J = reshape(dx{m}(im1,im2,:,:),3,2). It then holds that GG = J'*J.
ff2 is a cell array of same size as Par containing the second fundamental matrices
of faces, where ff2{m} is an array of size nm1-by-nm2-by-2-by-2. For a parameter
point given by the indices im1 and im2, the second fundamental matrix is given by
226 | CHAPTER 1: COMMAND REFERENCE