منابع مشابه
Geodesic Finite Elements of Higher Order
We generalize geodesic finite elements to obtain spaces of higher approximation order. Our approach uses a Riemannian center of mass with a signed measure. We prove well-definedness of this new center of mass under suitable conditions. As a side product we can define geodesic finite elements for non-simplex reference elements such as cubes and prisms. We prove smoothness of the interpolation fu...
متن کاملHigher - Order Finite Elements on Pyramids
We present a construction of high order finite elements for H1, H(curl), H(div) (and L2) on a pyramid, which are compatible with existing tetrahedral and hexahedral high order finite elements and satisfy the commuting diagram property.
متن کاملAlgebraic multigrid for higher-order finite elements
Two related approaches for solving linear systems that arise from a higher-order finite element discretization of elliptic partial differential equations are described. The first approach explores direct application of an algebraic-based multigrid method (AMG) to iteratively solve the linear systems that result from higher-order discretizations. While the choice of basis used on the discretizat...
متن کاملAlgebraic Multigrid for Moderate Order Finite Elements
The paper discusses algebraic multigrid (AMG) methods for the solution of large sparse linear systems arising from the discretization of scalar elliptic partial differential equations with Lagrangian finite elements of order at most 4. The resulting system matrices do not have the M-matrix property that is used by standard analyzes of classical AMG and aggregation-based AMG methods. A unified a...
متن کاملElements of finite order in automorphism groups of homogeneous structures
We study properties of the automorphism groups of Fräıssé limits of classes with certain strong amalgamation properties, including classes with the free amalgamation property and classes of metric spaces. We discuss conditions on a Fräıssé class K that imply that the automorphism group GK of its limit admits generic elements of order n for all n and show that, for many such K, any element of GK...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1989
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1989.138.1