Results 91 to 100 of about 367,212 (211)

The Local Discontinuous Galerkin Method with Generalized Alternating Flux Applied to the Second-Order Wave Equations

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, Jia Liu, Shaohua Jiang, Di Wang   +3 more
doaj   +1 more source

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, Justin Owen, Paul Kuberry, Pavel Bochev   +3 more
wiley   +1 more source

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

A pressure-stabilized projection Lagrange--Galerkin scheme for the transient Oseen problem

CoRR, 2021
26 pages, 6 ...
openaire   +2 more sources

A Comparative Study of Low‐Dissipation Numerical Schemes for Hyperbolic Conservation Laws

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACT This work provides a comparative assessment of several low‐dissipation numerical schemes for hyperbolic conservation laws, highlighting their performance relative to the classical Harten‐Lax‐van Leer (HLL) schemes. The schemes under consideration include the classical Harten‐Lax‐van Leer‐Contact (HLLC), the recently proposed TV flux splitting,
Shaoshuai Chu, Michael Herty
wiley   +1 more source

Model Predictive Control of Gas Networks Based on Port‐Hamiltonian Formulations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.
ABSTRACT To efficiently compute optimal compressor actions in gas networks, we investigate port‐Hamiltonian models consisting of linear and a nonlinear model assumptions. The control actions are derived via adjoint‐based gradients that incorporate the constraints of the underlying optimization problem. We then present results from the implementation of
Andres Ortegón‐Villacorte, Jan Rohleff   +1 more
wiley   +1 more source

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  

Evolve Filter Stabilization Reduced-Order Model for Stochastic Burgers Equation

Fluids, 2018
In this paper, we introduce the evolve-then-filter (EF) regularization method for reduced order modeling of convection-dominated stochastic systems. The standard Galerkin projection reduced order model (G-ROM) yield numerical oscillations in a convection-
Xuping Xie, Feng Bao, Clayton G. Webster   +2 more
doaj   +1 more source

A Galerkin Alternating Projection Method for Kinetic Equations in the Diffusive Limit

CoRR
The numerical approximation of high-dimensional evolution equations poses significant computational challenges, particularly in kinetic theory and radiative transfer. In this work, we introduce the Galerkin Alternating Projection (GAP) scheme, a novel integrator derived within the Dynamical Low-Rank Approximation (DLRA) framework. We perform a rigorous
Gianluca Ceruti, Nicolas Crouseilles, Lukas Einkemmer   +2 more
openaire   +2 more sources

A review of numerical methods for flow and transport modeling in the vadose zone

Vadose Zone Journal, Volume 25, Issue 5, September/October 2026.
Abstract Accurate modeling of subsurface flow and transport processes in the vadose zone, governed by the Richards equation and advection‐dispersion equation, respectively, poses major numerical challenges due to the strong nonlinearity of the governing partial differential equations, spatial heterogeneity and anisotropy of the media parameters, and ...
Shruti Jain, Saumava Dey, B. R. Chahar
wiley   +1 more source