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» Dual Formulations of Mixed Finite Element Methods
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SIAMNUM
2010
91views more  SIAMNUM 2010»
14 years 4 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
ISBI
2004
IEEE
15 years 10 months ago
Diffusion Smoothing on Brain Surface via Finite Element Method
Surface data such as the segmented cortical surface of the human brain plays an important role in medical imaging. To increase the signal-to-noise ratio for data residing on the b...
Moo Chung, Jonathan Taylor
AUTOMATICA
2004
125views more  AUTOMATICA 2004»
14 years 9 months ago
Hamiltonian discretization of boundary control systems
A fundamental problem in the simulation and control of complex physical systems containing distributed-parameter components concerns finite-dimensional approximation. Numerical me...
Goran Golo, Viswanath Talasila, Arjan van der Scha...
NHM
2010
73views more  NHM 2010»
14 years 4 months ago
The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and la
Abstract. This contribution is concerned with the formulation of a heterogeneous multiscale finite elements method (HMM) for solving linear advectiondiffusion problems with rapidly...
Patrick Henning, Mario Ohlberger
JCC
2010
74views more  JCC 2010»
14 years 8 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....