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JSCIC
2010
150views more  JSCIC 2010»
12 years 12 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
AMC
2004
105views more  AMC 2004»
13 years 5 months ago
Block matrix Sinc-Galerkin solution of the wind-driven current problem
A block matrix formulation is presented for the Sinc-Galerkin technique applied to the wind-driven current problem from oceanography. The block matrix form is used to determine an...
Sanoe Koonprasert, Kenneth L. Bowers
JSCIC
2007
89views more  JSCIC 2007»
13 years 5 months ago
Adjoint Recovery of Superconvergent Linear Functionals from Galerkin Approximations. The One-dimensional Case
In this paper, we extend the adjoint error correction of Pierce and Giles [SIAM Review, 42 (2000), pp. 247-264] for obtaining superconvergent approximations of functionals to Gale...
Bernardo Cockburn, Ryuhei Ichikawa
SIAMNUM
2010
169views more  SIAMNUM 2010»
12 years 12 months ago
A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow
We propose a nonconforming finite element method for isentropic viscous gas flow in situations where convective effects may be neglected. We approximate the continuity equation by ...
Kenneth H. Karlsen, Trygve K. Karper
JSCIC
2007
131views more  JSCIC 2007»
13 years 5 months ago
An Analysis of the Minimal Dissipation Local Discontinuous Galerkin Method for Convection-Diffusion Problems
Abstract. We analyze the so-called the minimal dissipation local discontinuous Galerkin method for convection-diffusion or diffusion problems. The distinctive feature of this met...
Bernardo Cockburn, Bo Dong