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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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NHM
2010
141views more  NHM 2010»
13 years 2 months ago
Remarks on discretizations of convection terms in Hybrid mimetic mixed methods
We present different ways, coming from Finite Volume or Mixed Finite Element frameworks, to discretize convection terms in Hybrid Finite Volume, Mimetic Finite Difference and Mixed...
Jérôme Droniou

Publication
338views
12 years 5 months ago
A Reference Discretization Strategy for the Numerical Solution of Physical Field Problems.
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi
JSCIC
2010
150views more  JSCIC 2010»
13 years 2 months ago
A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations
In this paper, a central discontinuous Galerkin method is proposed to solve for the viscosity solutions of Hamilton-Jacobi equations. Central discontinuous Galerkin methods were or...
Fengyan Li, Sergey Yakovlev
JCC
2010
74views more  JCC 2010»
13 years 5 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....
SIAMCO
2011
13 years 2 months ago
Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints
In this paper optimal control problems governed by the wave equation with control constraints are analyzed. Three types of control action are considered: distributed control, Neuma...
Axel Kröner, Karl Kunisch, Boris Vexler