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
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
Enrichment of the Boundary Element Method through the Partition of Unity Method for Fracture Analysis using Local and Global Formulations [PDF]
, 2010 The present thesis proposes an innovative technique of applying enrichment to the Boundary Element Method to allow accurate analysis of 2D crack problems. An overview of fracture mechanics is given, with particular emphasis given to numerical methods and
SIMPSON, ROBERT
core
Rellich-type Discrete Compactness for Some Discontinuous Galerkin FEM [PDF]
We deduce discrete compactness of Rellich type for some discontinuous Galerkin finite element methods (DGFEM) including hybrid ones, under fairly general settings on the triangulations and the finite element spaces.
KIKUCHI, Fumio
core
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
Método de Galerkin livre de elementos aplicado a placas de materiais compostos laminados [PDF]
, 2007 Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro Tecnológico. Programa de Pós-Graduação em Engenharia Mecânica.O objetivo deste trabalho é desenvolver um programa de análise de placas de materiais compostos laminados usando o ...
Teles, Tiago Franco de Góes
core
Virtual Element Method for Saturated Unconfined Seepage Flow Analysis
工程科学与技术ObjectiveLocal mesh modification is one of the important approaches for solving the saturated unconfined seepage model when the fixed mesh method is used.
JIANG Wei +5 more
doaj
Computational assessment of cold thermal energy storage improvement using hybrid nanofluid cooling and metal foam media. [PDF]
Sci RepAbu-Hamdeh NH +3 more
europepmc +1 more source
An optimal Petrov-Galerkin framework for operator networks. [PDF]
Comput Methods Appl Mech EngCharles P +9 more
europepmc +1 more source
Advances in the Improved Element-Free Galerkin Methods: A Comprehensive Review
Computer Modeling in Engineering & SciencesHeng Cheng, Yichen Yang, Yumin Cheng
openaire +1 more source