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SIAMSC
2008
173views more  SIAMSC 2008»
15 years 6 months ago
A Fast Iterative Method for Eikonal Equations
In this paper we propose a novel computational technique to solve the Eikonal equation. The proposed method manages the list of active nodes and iteratively updates the solutions ...
Won-Ki Jeong, Ross T. Whitaker
JSCIC
2007
377views more  JSCIC 2007»
15 years 6 months ago
A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier-Stokes Equations
We present a class of discontinuous Galerkin methods for the incompressible Navier-Stokes equations yielding exactly divergence-free solutions. Exact incompressibility is achieved...
Bernardo Cockburn, Guido Kanschat, Dominik Sch&oum...
MP
2010
157views more  MP 2010»
15 years 4 months ago
Newton's method for generalized equations: a sequential implicit function theorem
In the extension of Newton’s method to generalized equations, applying to variational inequalities as a special case, convergence analysis relates to a corresponding implicit fun...
Asen L. Dontchev, R. Tyrrell Rockafellar
MOC
2011
15 years 1 months ago
Operator splitting for the KdV equation
We provide a new analytical approach to operator splitting for equations of the type ut = Au + B(u) where A is a linear operator and B is quadratic. A particular example is the Kor...
Helge Holden, Kenneth H. Karlsen, Nils Henrik Rise...
MOC
2010
15 years 25 days ago
Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions
Weak solutions for nonlinear wave equations involving the p(x)-Laplacian, for p : (1, ) are constructed as appropriate limits of solutions of an implicit finite element discretiz...
Jonas Haehnle, Andreas Prohl