In this paper, we investigate such discretizations of high order accuracy within the central discontinuous Galerkin framework. More specifically, we design and ...
Feb 19, 2011 · Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement.
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May 4, 2011 · We will discuss how to take advantage of maximum-principle-satisfying high-order schemes for scalar conservation laws to construct such schemes ...
In this paper, we first review the main ideas of these maximum-principle-satisfying and positivity-preserving high order schemes, then present a simpler ...
Oct 22, 2024 · The ability of discontinuous Galerkin-type approaches to preserve convex invariants of hyperbolic systems on the element-wise mean is a well ...
In this paper, we first introduce a special quadrature rule which is exact for two-variable polynomials over a triangle of a given degree and satisfy a few ...
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Abstract. Maximum principle or positivity-preserving property holds for many mathematical models. When the models are approximated numerically, ...
The technique is generalized to positivity preserving (of density and pressure) high order DG or finite volume schemes for compressible Euler equations in Zhang ...
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Dec 1, 2016 · Maximum principle or positivity-preserving property holds for many mathematical models. When the models are approximated numerically, ...
Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes. January 2011 ...