Zobrazeno 1 - 10
of 197
pro vyhledávání: '"WINTHER, RAGNAR"'
Autor:
Falk, Richard S., Winther, Ragnar
The bubble transform is a procedure to decompose differential forms, which are piecewise smooth with respect to a given triangulation of the domain, into a sum of local bubbles. In this paper, an improved version of a construction in the setting of t
Externí odkaz:
http://arxiv.org/abs/2312.13161
Solution methods for the nonlinear partial differential equation of the Rudin-Osher-Fatemi (ROF) and minimum-surface models are fundamental for many modern applications. Many efficient algorithms have been proposed. First order methods are common. Th
Externí odkaz:
http://arxiv.org/abs/2208.01390
Autor:
Falk, Richard S., Winther, Ragnar
A classical technique to construct polynomial preserving extensions of scalar functions defined on the boundary of an $n$ simplex to the interior is to use so-called rational blending functions. The purpose of this paper is to generalize the construc
Externí odkaz:
http://arxiv.org/abs/2202.02811
Autor:
Falk, Richard S., Winther, Ragnar
The purpose of this paper is to discuss a generalization of the bubble transform to differential forms. The bubble transform was discussed in a previous paper by the authors for scalar valued functions, or zero-forms, and represents a new tool for th
Externí odkaz:
http://arxiv.org/abs/2111.08123
Autor:
Falk, Richard S.1 (AUTHOR) falk@math.rutgers.edu, Winther, Ragnar2 (AUTHOR)
Publikováno v:
Foundations of Computational Mathematics. Feb2024, Vol. 24 Issue 1, p99-147. 49p.
Autor:
Hu, Kaibo, Winther, Ragnar
The purpose of this paper is to discuss representations of high order $C^0$ finite element spaces on simplicial meshes in any dimension. When computing with high order piecewise polynomials the conditioning of the basis is likely to be important. The
Externí odkaz:
http://arxiv.org/abs/1705.07113
We discuss the construction of robust preconditioners for finite element approximations of Biot's consolidation model in poroelasticity. More precisely, we study finite element methods based on generalizations of the Hellinger-Reissner principle of l
Externí odkaz:
http://arxiv.org/abs/1703.07792
Autor:
Lee, Jeonghun J., Winther, Ragnar
The standard mixed finite element approximations of Hodge Laplace problems associated with the de Rham complex are based on proper discrete subcomplexes. As a consequence, the exterior derivatives, which are local operators, are computed exactly. How
Externí odkaz:
http://arxiv.org/abs/1610.07954
Biot's consolidation model in poroelasticity has a number of applications in science, medicine, and engineering. The model depends on various parameters, and in practical applications these parameters ranges over several orders of magnitude. A curren
Externí odkaz:
http://arxiv.org/abs/1507.03199
Autor:
Falk, Richard S., Winther, Ragnar
The purpose of this paper is to discuss the construction of a linear operator, referred to as the bubble transform, which maps scalar functions defined on a bounded domain $\Omega$ in $\mathbb{R}^n$ into a collection of functions with local support.
Externí odkaz:
http://arxiv.org/abs/1312.1524