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JCPHY
2016
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10 years 3 months ago
High-order unstructured curved mesh generation using the Winslow equations
We propose a method to generate high-order unstructured curved meshes using the classical Winslow equations. We start with an initial straight-sided mesh in a reference domain, an...
Meire Fortunato, Per-Olof Persson
JCPHY
2016
47views more  JCPHY 2016»
10 years 3 months ago
A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems
For problems defined in a two-dimensional domain Ω with boundary conditions specified on a curve Γ, we consider discontinuous Galerkin (DG) schemes with high order polynomial...
Xiangxiong Zhang
JCPHY
2016
50views more  JCPHY 2016»
10 years 3 months ago
Dimension-independent likelihood-informed MCMC
Many Bayesian inference problems require exploring the posterior distribution of high-dimensional parameters that, in principle, can be described as functions. This work introduces...
Tiangang Cui, Kody J. H. Law, Youssef M. Marzouk
JCPHY
2016
35views more  JCPHY 2016»
10 years 3 months ago
Exact calculation of the overlap volume of spheres and mesh elements
An algorithm for the exact calculation of the overlap volume of a sphere and a tetrahedron, wedge, or hexahedron is described. The method can be used to determine the exact local ...
Severin Strobl, Arno Formella, Thorsten Pösch...