Orthogonalized Generalized Iso-Geometric Analysis (OGIGA) and its applications to problems of fracture mechanics

Ill conditioning of system matrices is one of the drawbacks of Generalized/eXtended IsoGeometric Analysis (GIGA/XIGA), which results in increase in computational cost in the case of iterative solvers or erroneous results in the case of direct solvers. Linear dependency between the basis functions which can be measured in terms of smallest angle among all the bases is one of the attributes of ill conditioning in XIGA. In the present study, a...