TITLE:

Modified Castillo-Grone mimetic gradient operators for solving with high-accuracy the Eikonal equation with Soner boundary conditions

DATE:

Friday, June 23rd, 2017

TIME:

3:30 PM

LOCATION:

GMCS-314

SPEAKER:

Dr. Miguel Dumett, Dpt. of Mathematics, University of Southern California

ABSTRACT:

The staggered Castillo-Grone mimetic method (CGMM) gradient operators

are adapted for solving the nonlinear Eikonal equation with Soner

boundary conditions. The iterative method utilizes an initial guess,

for instance the solution obtained by applying the first-order

Sethian’s Fast Marching method. It linearizes the equation for the

residual and reduces the absolute error (infinity norm) of the

solution by gradually increasing the accuracy order of the modified

CGMM. See the attached picture. This is a joint work with Jorge Ospino

(Universidad del Norte, Barranquilla, Colombia).

HOST:

Dr. Jose Castillo

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