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JSCIC
2010
150views more  JSCIC 2010»
13 years 4 days 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
JSCIC
2010
178views more  JSCIC 2010»
13 years 4 days ago
A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates
In many problems, one wishes to solve the Helmholtz equation in cylindrical or spherical coordinates which introduces variable coefficients within the differentiated terms. Fourth ...
S. Britt, S. Tsynkov, Eli Turkel
JSCIC
2010
101views more  JSCIC 2010»
13 years 4 days ago
Boundary-Conforming Discontinuous Galerkin Methods via Extensions from Subdomains
A new way of devising numerical methods is introduced whose distinctive feature is the computation of a finite element approximation only in a polyhedral subdomain D of the origina...
Bernardo Cockburn, Deepa Gupta, Fernando Reitich