Cover Image

A high-order rectilinear Lagrangian method based on the geometric conservation law

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wang, Xun, Ma, Chengdi
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A non-nested unstructured mesh perspective on highly parallel multilevel smoothed Schwarz preconditioner for linear parametric PDEs
by: Ma, Chengdi
Published: (2024)

A high-order energy-conserving semi-Lagrangian discontinuous Galerkin method for the Vlasov-Ampere system
by: Cai, Xiaofeng, et al.
Published: (2025)

A high-order Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for scalar nonlinear conservation laws
by: Chen, Jiajie, et al.
Published: (2024)

A robust first order meshfree method for time-dependent nonlinear conservation laws
by: Kwan, Samuel, et al.
Published: (2024)

A high-order, conservative and positivity-preserving intersection-based remapping method between meshes with isoparametric curvilinear cells
by: Lei, Nuo, et al.
Published: (2025)

Entropy stable reduced order modeling of nonlinear conservation laws using discontinuous Galerkin methods
by: Qu, Ray, et al.
Published: (2025)

A practical spectral method for hyperbolic conservation laws
by: Sun, Y. H., et al.
Published: (2002)

A limiter-based approach to construct high-order fully-discrete entropy stable explicit DG schemes for hyperbolic conservation laws
by: Liu, Yuchang, et al.
Published: (2026)

An efficient fifth-order interpolation-based Hermite WENO scheme for hyperbolic conservation laws
by: Xie, Xiaoyang, et al.
Published: (2024)

Stable semi-implicit SDC methods for conservation laws
by: Stiller, Joerg
Published: (2024)

The positivity-preserving high-order semi-Lagrangian spectral volume method for Vlasov-Poisson equations
by: Zhang, Xinyue, et al.
Published: (2025)

Entropy-conservative high-order methods for high-enthalpy gas flows
by: Oblapenko, Georgii, et al.
Published: (2024)

A third-order multi-moment cell-centered Lagrangian scheme for hydrodynamics with an accurate 2D nodal solver
by: Zhang, Xiaoteng, et al.
Published: (2026)

Robust semi-implicit multilevel SDC methods for conservation laws
by: Pfister, Erik, et al.
Published: (2025)

A new class of efficient high order semi-Lagrangian IMEX discontinuous Galerkin methods on staggered unstructured meshes
by: Tavelli, M., et al.
Published: (2024)

OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws
by: Peng, Manting, et al.
Published: (2023)

Adaptive mesh methods for hyperbolic conservation laws with bound-preserving flux limiters
by: Gu, Yaguang, et al.
Published: (2026)

On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023)

High-order well-balanced methods for systems of balance laws: a control-based approach
by: Gómez-Bueno, Irene, et al.
Published: (2025)

A positivity preserving second-order scheme for multi-dimensional system of non-local conservation laws
by: Manoj, Nikhil, et al.
Published: (2024)

A bound preserving cut discontinuous Galerkin method for one dimensional hyperbolic conservation laws
by: Fu, Pei, et al.
Published: (2024)

Stability estimates for radial basis function methods applied to linear scalar conservation laws
by: Tominec, Igor, et al.
Published: (2021)

Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation
by: Duan, Junming, et al.
Published: (2024)

High-order mass conserving, positivity plus energy-law preserving schemes and their error estimates for Keller-Segel equations
by: Chen, Mingmei, et al.
Published: (2025)

A high-order fully Lagrangian particle level-set method for dynamic surfaces
by: Schulze, Lennart J., et al.
Published: (2023)

Inverse Lax-Wendroff boundary treatment for solving conservation laws with finite difference HWENO methods
by: Zhu, Guangyao, et al.
Published: (2025)

A moment-based Hermite WENO scheme with unified stencils for hyperbolic conservation laws
by: Fan, Chuan, et al.
Published: (2024)

A high-order weighted positive and flux conservative method for the Vlasov equation
by: Minoshima, Takashi, et al.
Published: (2025)

Continuously bounds-preserving discontinuous Galerkin methods for hyperbolic conservation laws
by: Dzanic, Tarik
Published: (2024)

A high order stabilization-free virtual element method for general second-order elliptic eigenvalue problem
by: Xu, Liangkun, et al.
Published: (2026)

Well-balanced high-order method for non-conservative hyperbolic PDEs with source terms: application to one-dimensional blood flow equations with gravity
by: Colombo, Chiara, et al.
Published: (2025)

Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation: One-dimensional case
by: Duan, Junming, et al.
Published: (2024)

Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation: Two-dimensional case
by: Duan, Junming, et al.
Published: (2024)

A geometrically informed algebraic multigrid preconditioned iterative approach for solving high-order finite element systems
by: Xu, Songzhe, et al.
Published: (2025)

A meshless geometric conservation weighted least square method for solving the shallow water equations
by: Satyaprasad, D., et al.
Published: (2024)

A simple, high-order and compact WENO limiter based on control volume for spectral volume method
by: Liu, Na, et al.
Published: (2026)

KFVM-WENO: A high-order accurate kernel-based finite volume method for compressible hydrodynamics
by: May, Ian C. T., et al.
Published: (2024)

Construction of high-order conservative basis-update and Galerkin dynamical low-rank integrators
by: Einkemmer, Lukas, et al.
Published: (2023)

A new framework of high-order unfitted finite element methods using ALE maps for moving-domain problems
by: Lu, Wenhao, et al.
Published: (2024)

High order numerical methods for solving high orders functional differential equations
by: A, Dang Quang, et al.
Published: (2024)