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» An optimal adaptive mixed finite element method
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ISBI
2004
IEEE
14 years 6 months ago
Adaptive Finite Element Methods for Fluorescence Enhanced Frequency Domain Optical Tomography: Forward Imaging Problem
In this contribution we introduce adaptive finite element methods for forward modeling in fluorescence optical tomography. Adaptive local mesh refinement increases the accuracy of...
Amit Joshi, Eva M. Sevick-Muraca, Alan B. Thompson...
SIAMNUM
2010
149views more  SIAMNUM 2010»
13 years 10 days 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
SIAMNUM
2010
141views more  SIAMNUM 2010»
13 years 10 days 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
MOC
2010
13 years 11 days ago
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
We derive in this paper a unified framework for a priori and a posteriori error analysis of mixed finite element discretizations of second-order elliptic problems. It is based on ...
Martin Vohralík
JCC
2010
74views more  JCC 2010»
13 years 4 months ago
A first-order system least-squares finite element method for the Poisson-Boltzmann equation
The Poisson-Boltzmann equation is an important tool in modeling solvent in biomolecular systems. In this paper, we focus on numerical approximations to the electrostatic potential...
Stephen D. Bond, Jehanzeb Hameed Chaudhry, Eric C....