A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations [PDF]
In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
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A continuous/discontinuous Galerkin formulation for a strain gradient-dependent damage model: 2D results [PDF]
The numerical solution of strain gradient-dependent continuum problems has been hindered by continuity demands on the basis functions. The presence of terms in constitutive models which involve gradients of the strain eld means that the $C^0$ continuity
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A note on strong solutions of stochastic differential equations with a discontinuous drift coefficient [PDF]
The existence of a mean-square continuous strong solution is established for vector-valued Itö stochastic differential equations with a discontinuous drift coefficient, which is an increasing function, and with a Lipschitz continuous diffusion ...
Nikolaos Halidias +3 more
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A mixed discontinuous/continuous finite element pair for shallow-water ocean modelling [PDF]
18.02.14 KB. Ok to add accepted version to spiral, Elsevier says ok while mandate not enforced.We introduce a mixed discontinuous/continuous finite element pair for ocean modelling, with continuous quadratic layer thickness and discontinuous velocity. We
Cotter, CJ +5 more
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A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods [PDF]
We present here a domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by a discontinuous Galerkin method.
Dolean Maini, Victorita +2 more
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Compact and stable discontinuous Galerkin methods for convection-diffusion problems [PDF]
We present a new scheme, the compact discontinuous Galerkin 2 (CDG2) method, for solving nonlinear convection-diffusion problems together with a detailed comparison to other well-accepted DG methods.
Dedner, A. +3 more
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Computation of Trailing Edge Noise with a Discontinuous Galerkin Method [PDF]
Trailing edge noise of a semi-infinite, thin, flat plate situated in low Mach number flow is computed in two spatial dimensions. The Acoustic Perturbation Equations (APE), which are employed as governing equations, are discretized via a Discontinuous ...
M. Bauer, Bauer, Marcus
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ABSTRACT Objective High‐resolution MRI enables detailed assessment of intracranial vessel wall pathology in moyamoya vasculopathy. We aimed to classify adult moyamoya vasculopathy etiologies using high‐resolution MRI and to examine subtype‐specific associations between high‐resolution MRI features and ischemic infarction.
Guangsong Han +8 more
wiley +1 more source
Interior penalty discontinuous galerkin methods for electromagnetic and acoustic wave equations [PDF]
Introduction: In this thesis we present and analyze the numerical approximation of the second order electromagnetic and acoustic wave equation by the interior penalty (IP) discontinuous Galerkin (DG) finite element method (FEM).
Schneebeli, Anna
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In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
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