Cover Image

A Higher-Order Multiscale Method for the Wave Equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Krumbiegel, Felix, Maier, Roland
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis 65M12, 65M60, 35L05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Optimal higher-order convergence rates for parabolic multiscale problems
by: Kalyanaraman, Balaje, et al.
Published: (2025)

A Second-Order Maximum-Principle-Preserving Crouzeix-Raviart Finite Element Method for Time-dependent Transport Equation
by: Mao, Shipeng, et al.
Published: (2026)

A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations
by: Guermond, Jean-Luc, et al.
Published: (2024)

Galerkin-type time discretizations for parabolic and hyperbolic problems: stability and a priori error analysis
by: Gómez, Sergio
Published: (2026)

A conservative invariant-domain preserving projection technique for hyperbolic systems under adaptive mesh refinement
by: Harmon, Jake, et al.
Published: (2025)

First-order greedy invariant-domain preserving approximation for hyperbolic problems: scalar conservation laws, and p-system
by: Guermond, Jean-Luc, et al.
Published: (2023)

A Fully Discrete Energy-Based Discontinuous Galerkin Method for Variable-Order Time-Fractional Wave Equations
by: Zhang, Lu
Published: (2026)

Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations
by: Creff, Melvin, et al.
Published: (2024)

Numerical Analysis and Dimension Splitting for A Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
by: Xie, Zhengrong
Published: (2025)

Error Analysis of Time-Dependent Test Functions in the Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
by: Xie, Zhengrong
Published: (2026)

A Discontinuous Galerkin Scheme for the Cahn-Hilliard Equations with Discrete Maximum Principle for Arbitrary Polynomial Order
by: Gunnarsson, Jimmy Kornelije, et al.
Published: (2026)

A variational approach to the analysis of the continuous space-time FEM for the wave equation
by: Gómez, Sergio
Published: (2025)

Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations
by: Kronbichler, Martin, et al.
Published: (2024)

Space-time finite element methods for nonlinear wave equations via elliptic regularisation
by: Banjai, Lehel, et al.
Published: (2025)

An Arbitrarily Higher-Order Time Implicit Scheme for Maxwell's Equations
by: Arya, Archana, et al.
Published: (2024)

A High-Order Compact Hermite Difference Method for Double-Diffusive Convection
by: Yang, Jianqing, et al.
Published: (2025)

A Posteriori Error Analysis of Runge-Kutta Discontinuous Galerkin Schemes with SIAC Post-Processing for Nonlinear Convection-Diffusion Systems
by: Giesselmann, Jan, et al.
Published: (2026)

Second-order invariant-domain preserving approximation to the multi-species Euler equations
by: Clayton, Bennett, et al.
Published: (2025)

Stability analysis of Arbitrary-Lagrangian-Eulerian ADER-DG methods on classical and degenerate spacetime geometries
by: Bonafini, Mauro, et al.
Published: (2026)

Robust fully discrete error bounds for the Kuznetsov equation in the inviscid limit
by: Dörich, Benjamin, et al.
Published: (2024)

A space-time continuous and coercive formulation for the wave equation
by: Bignardi, Paolo, et al.
Published: (2023)

Invariant-domain preserving IMEX schemes for the nonequilibrium Gray Radiation-Hydrodynamics equations Part I
by: Guermond, Jean-Luc, et al.
Published: (2026)

BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: a-priori error estimates
by: Aldé, Michele, et al.
Published: (2026)

Hybridizable discontinuous Galerkin methods for solving the two-fluid plasma model
by: Ho, Andrew, et al.
Published: (2024)

A neural network method for scalar conservation laws with convergence rates for shock-wave solutions
by: Cao, Jiachuan, et al.
Published: (2026)

A generalized Riemann problem solver for a hyperbolic model of two-layer thin film flow
by: Barthwal, Rahul, et al.
Published: (2025)

Combined DG-CG finite element method for the Westervelt equation
by: Gómez, Sergio, et al.
Published: (2024)

Stable Spectral-Volume Methods
by: Schadt, Lena
Published: (2025)

High order well-balanced and total-energy-conserving local discontinuous Galerkin methods for compressible self-gravitating Euler equations
by: Pan, Liang, et al.
Published: (2025)

BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: unconditional weak convergence to weak solutions
by: Aldé, Michele, et al.
Published: (2025)

Entropy stable hydrostatic reconstruction schemes for shallow water systems
by: Ersing, Patrick, et al.
Published: (2024)

A splitting scheme for the wave maps equation at low regularity
by: Marsden, Katie, et al.
Published: (2026)

On Error Estimates of the Crank-Nicolson-Polylinear Finite Element Method with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped
by: Zlotnik, Alexander
Published: (2015)

Error analysis of an implicit-explicit time discretization scheme for semilinear wave equations with application to multiscale problems
by: Eckhardt, Daniel, et al.
Published: (2024)

Entropy analysis and entropy stable DG methods for the shallow water moment equations
by: Careaga, Julio, et al.
Published: (2026)

Runge-Kutta Discontinuous Galerkin Method Based on Flux Vector Splitting with Constrained Optimization-based TVB(D)-minmod Limiter for Solving Hyperbolic Conservation Laws
by: Xie, Zhengrong
Published: (2024)

Two Frameworks and their Fourth Order Implicit Schemes for Time Discretization of Maxwell's Equations
by: Arya, Archana, et al.
Published: (2026)

Energy Stable and Structure-Preserving Algorithms for the Stochastic Galerkin System of 2D Shallow Water Equations
by: Epshteyn, Yekaterina, et al.
Published: (2024)

A Hybridizable Discontinuous Galerkin Method for the Miscible Displacement Problem Under Minimal Regularity
by: Kirk, Keegan L. A., et al.
Published: (2025)

A decoupled, stable, and second-order integrator for the Landau--Lifshitz--Gilbert equation with magnetoelastic effects
by: Kružík, Martin, et al.
Published: (2025)