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VRIPHYS
2010
8 years 6 months ago
Optimization-based Fluid Simulation on Unstructured Meshes
We present a novel approach to fluid simulation, allowing us to take into account the surface energy in a precise manner. This new approach combines a novel, topology-adaptive app...
Marek Krzysztof Misztal, Robert Bridson, Kenny Erl...
SYMMETRY
2010
72views more  SYMMETRY 2010»
8 years 6 months ago
Symmetric Matrix Fields in the Finite Element Method
: The theory of elasticity is used to predict the response of a material body subject to applied forces. In the linear theory, where the displacement is small, the stress tensor wh...
Gerard Awanou
SIAMREV
2010
119views more  SIAMREV 2010»
8 years 6 months ago
From Functional Analysis to Iterative Methods
We examine condition numbers, preconditioners, and iterative methods for finite element discretizations of coercive PDEs in the context of the fundamental solvability result, the L...
Robert C. Kirby
SIAMNUM
2010
96views more  SIAMNUM 2010»
8 years 6 months ago
On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems
Infimizing sequences in nonconvex variational problems typically exhibit enforced finer and finer oscillations called microstructures such that the infimal energy is not attained. ...
Wolfgang Boiger, Carsten Carstensen
SIAMNUM
2010
141views more  SIAMNUM 2010»
8 years 6 months ago
A Multipoint Flux Mixed Finite Element Method on Hexahedra
We develop a mixed finite element method for elliptic problems on hexahedral grids that reduces to cell-centered finite differences. The paper is an extension of our earlier paper...
Ross Ingram, Mary F. Wheeler, Ivan Yotov
SIAMNUM
2010
91views more  SIAMNUM 2010»
8 years 6 months ago
Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements
Abstract. In [9], we introduced and analyzed a recovery-based a posteriori error estimator for conforming linear finite element approximation to interface problems. It was shown th...
Zhiqiang Cai, Shun Zhang
SIAMNUM
2010
137views more  SIAMNUM 2010»
8 years 6 months ago
A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem
In this paper we develop an a posteriori error analysis of a new conforming mixed finite element method for the coupling of fluid flow with porous media flow. The flows are govern...
Ivo Babuska, Gabriel N. Gatica
SIAMNUM
2010
149views more  SIAMNUM 2010»
8 years 6 months ago
Mixed Finite Element Methods for Incompressible Flow: Stationary Navier-Stokes Equations
In [Z. Cai, C. Tong, P. S. Vassilevski, and C. Wang, Numer. Methods Partial Differential Equations, to appear], the authors developed and analyzed a mixed finite element method for...
Zhiqiang Cai, Chunbo Wang, Shun Zhang
PROCEDIA
2010
103views more  PROCEDIA 2010»
8 years 6 months ago
Towards generating optimised finite element solvers for GPUs from high-level specifications
We argue that producing maintainable high-performance implementations of finite element methods for multiple targets requires that they are written using a high-level domain-speci...
Graham R. Markall, David A. Ham, Paul H. J. Kelly
MOC
2010
8 years 6 months ago
Sharply local pointwise a posteriori error estimates for parabolic problems
Abstract. We prove pointwise a posteriori error estimates for semi- and fullydiscrete finite element methods for approximating the solution u to a parabolic model problem. Our esti...
Alan Demlow, Charalambos Makridakis
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