Results 41 to 50 of about 22,455 (230)
Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation
Advances in Difference Equations, 2018 We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R2 $\mathbb{R}^{2}$. In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (
Dojin Kim
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International Journal for Numerical Methods in Fluids, EarlyView.This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro +2 more
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International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT This study proposes a novel geometrically regularized gradient‐damage model for simulating dynamic mixed‐mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and ...
Hui Li, Shanyong Wang
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Complexity, 2020 In this paper, we propose the local discontinuous Galerkin method based on the generalized alternating numerical flux for solving the one-dimensional second-order wave equation with the periodic boundary conditions.
Rongpei Zhang +3 more
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Well-Balanced High-Order Discontinuous Galerkin Methods for Systems of Balance Laws
Mathematics, 2021 This work introduces a general strategy to develop well-balanced high-order Discontinuous Galerkin (DG) numerical schemes for systems of balance laws.
Ernesto Guerrero Fernández +2 more
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Locally implicit discontinuous Galerkin method for time domain electromagnetics [PDF]
Journal of Computational Physics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dolean Maini, Victorita +3 more
openaire +4 more sources
Volume Quantization with Flexible Singularities for Hexahedral Meshing
Computer Graphics Forum, EarlyView.Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
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A local discontinuous Galerkin method for the Caputo–Hadamard Burgers equation: Analysis and parameter estimation [PDF]
AIP AdvancesThis paper develops and analyzes a fully discrete numerical scheme for the time-fractional Burgers equation with a Caputo–Hadamard derivative, which incorporates a logarithmic kernel particularly suitable for modeling ultraslow diffusion processes.
Zhen Wang, Xiaoting Li
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Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu +2 more
wiley +1 more source
Local discontinuous Galerkin method for distributed-order time and space-fractional convection–diffusion and Schrödinger-type equations [PDF]
Nonlinear dynamics, 2017 We develop a local discontinuous Galerkin finite element method for the distributed-order time and Riesz space-fractional convection–diffusion and Schrödinger-type equations.
T. Aboelenen
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