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PROCEDIA
2010
344views more  PROCEDIA 2010»
15 years 6 days ago
Towards high-quality, untangled meshes via a force-directed graph embedding approach
High quality meshes are crucial for the solution of partial differential equations (PDEs) via the finite element method (or other PDE solvers). The accuracy of the PDE solution,...
Sanjukta Bhowmick, Suzanne M. Shontz
MOC
2010
14 years 8 months ago
hp-Optimal discontinuous Galerkin methods for linear elliptic problems
Abstract. The aim of this paper is to present and analyze a class of hpversion discontinuous Galerkin (DG) discretizations for the numerical approximation of linear elliptic proble...
Benjamin Stamm, Thomas P. Wihler
MOC
2002
81views more  MOC 2002»
15 years 1 months ago
Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection--diffusion problem
We study the convergence properties of the hp-version of the local discontinuous Galerkin finite element method for convection-diffusion problems; we consider a model problem in a ...
Paul Castillo, Bernardo Cockburn, Dominik Schö...
98
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IMR
2004
Springer
15 years 7 months ago
A Comparison of Inexact Newton and Coordinate Descent Mesh Optimization Techniques
We compare inexact Newton and coordinate descent methods for optimizing the quality of a mesh by repositioning the vertices, where quality is measured by the harmonic mean of the ...
Lori Freitag Diachin, Patrick M. Knupp, Todd S. Mu...
98
Voted
AMC
2004
95views more  AMC 2004»
15 years 1 months ago
Optimal multigrid solutions of two-dimensional convection-conduction problems
The present work investigates the efficiency of the multigrid numerical method when used to solve two-dimensional laminar velocity and temperature fields inside a rectangular doma...
Maximilian S. Mesquita, Marcelo J. S. de Lemos