Two condensed macro-elements with full approximation power
نویسندگان
چکیده
A variant of the classical C Powell-Sabin-12 macro-element is defined that has the same approximation power, but has fewer degrees of freedom and only requires vertex data. The same idea is then applied to a related C trivariate macro-element. §
منابع مشابه
Smooth macro-elements on Powell-Sabin-12 splits
Macro-elements of smoothness Cr are constructed on PowellSabin-12 splits of a triangle for all r ≥ 0. These new elements complement those recently constructed on Powell-Sabin-6 splits and can be used to construct convenient superspline spaces with stable local bases and full approximation power that can be applied to the solution of boundary-value problems and for interpolation of Hermite data.
متن کاملA C1 quadratic trivariate macro-element space defined over arbitrary tetrahedral partitions
In 1988, Worsey and Piper constructed a trivariate macro-element based on C1 quadratic splines defined over a split of a tetrahedron into 24 subtetrahedra. However, this local element can only be used to construct a corresponding macro-element spline space over tetrahedral partitions that satisfy some very restrictive geometric constraints. We show that by further refining their split, it is po...
متن کاملMacro-elements and stable local bases for splines on Powell-Sabin triangulations
Macro-elements of arbitrary smoothness are constructed on Powell-Sabin triangle splits. These elements are useful for solving boundaryvalue problems and for interpolation of Hermite data. It is shown that they are optimal with respect to spline degree, and we believe they are also optimal with respect to the number of degrees of freedom. The construction provides local bases for certain supersp...
متن کاملOn Joint Sub-channel Allocation, Duplexing Mode Selection, and Power Control in Full-Duplex Co-Channel Femtocell Networks
As one of the promising approaches to increase the network capacity, Full-duplex (FD) communications have recently gained a remarkable attention. FD communication enables wireless nodes to simultaneously send and receive data through the same frequency band. Thanks to the recent achievements in the self-interference (SI) cancellation, this type of communication is expected to be potentially uti...
متن کاملA Comparative Study of Two Macro-Scale Models of Condensed-Phase Explosives
Two macro-scale models of high-energy, condensed-phase explosives are considered. The first, called ignition and growth, treats the heterogeneous explosive as a homogeneous mixture of reacting and product species. The second model treats the explosive as two distinct, but interacting, phases. Both models are hyperbolic systems of nonlinear partial differential equations involving balance laws o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Adv. Comput. Math.
دوره 32 شماره
صفحات -
تاریخ انتشار 2010