Results 71 to 80 of about 16,319,430 (163)
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
Computation of Trailing Edge Noise with a Discontinuous Galerkin Method [PDF]
, 2008 Trailing edge noise of a semi-infinite, thin, flat plate situated in low Mach number flow is computed in two spatial dimensions. The Acoustic Pertur- bation Equations (APE), which are employed as governing equations, are discretized via a ...
Bauer, Marcus
core
AxiomsIn this paper, a structure-preserving local discontinuous Galerkin (LDG) method is proposed for parabolic stochastic partial differential equations with periodic boundary conditions and multiplicative noise.
Mengqin Han, Zhenyu Wang, Xiaohua Ding
doaj +1 more source
Steady-State Simulation of Semiconductor Devices Using Discontinuous Galerkin Methods
IEEE Access, 2020 Design of modern nanostructured semiconductor devices often calls for simulation tools capable of modeling arbitrarily-shaped multiscale geometries. In this work, to this end, a discontinuous Galerkin (DG) method-based framework is developed to simulate ...
Liang Chen, Hakan Bagci
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Accurate and Efficient Data‐Driven Partitioned Scheme for Coupled Heterogeneous Numerical Models
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT Heterogeneous numerical models (HNMs) combine conventional discretization modules such as finite elements with nonconventional data‐driven and reduced‐order modules. HNMs can improve computational efficiency and enable simulations of multi‐physics systems in which one or more constituent components lack first‐principles descriptions and must ...
Edward Huynh +3 more
wiley +1 more source
An hp-local Discontinuous Galerkin Method for Parabolic Integro-Differential Equations [PDF]
Journal of Scientific Computing, 2010 The authors discuss an \(hp\)-local discontinuous Galerkin (LDG) method for parabolic integro-differential equations. Preliminaries, basic results and the LDG method are presented. A priori error estimates for an extended mixed type Ritz-Volterra projection are discussed. Numerical examples are given to illustrate the predicted convergence rates.
Amiya Kumar Pani, Sangita Yadav
openaire +3 more sources
Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACTWe study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic problem and avoid higher‐order energy estimates and inverse inequalities ...
Marvin Fritz
wiley +1 more source
Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation
Advances in Applied Mathematics and Mechanics34 ...
Dong Liu, Weihua Deng
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An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations [PDF]
, 2008 In this article we propose a new symmetric version of the interior penalty discontinuous Galerkin finite element method for the numerical approximation of the compressible Navier-Stokes equations.
Houston, Paul, Hartmann, Ralf
core
Applied Ocean ResearchDue to the combined action of the oceanic climate and environmental factors, there often exist the sound speed thermocline regions in the real ocean environment.
Wenbin Wu +3 more
doaj +1 more source