Cover Image

A variational approach to the analysis of the continuous space-time FEM for the wave equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Gómez, Sergio
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 65M60, 65M12, 35L04
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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)

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

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

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

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

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

Radial perfectly matched layers and infinite elements for the anisotropic wave equation
by: Halla, Martin, et al.
Published: (2024)

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)

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

A stable multiplicative dynamical low-rank discretization for the linear Boltzmann-BGK equation
by: Baumann, Lena, et al.
Published: (2024)

Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling
by: Gjesteland, Anita, et al.
Published: (2026)

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

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

An exponentially convergent discretization for space-time fractional parabolic equations using $hp$-FEM
by: Melenk, Jens Markus, et al.
Published: (2022)

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

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

An initial-corrected splitting approach for convection-diffusion-reaction problems
by: Dang, Thi Tam, et al.
Published: (2025)

A Higher-Order Multiscale Method for the Wave Equation
by: Krumbiegel, Felix, et al.
Published: (2023)

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

Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation
by: Biswas, Abhijit, et al.
Published: (2024)

SUPG-stabilized time-DG finite and virtual elements for the time-dependent advection-diffusion equation
by: Da Veiga, Lourenço Beirão, et al.
Published: (2024)

Entropy analysis and entropy stable DG methods for the shallow water moment equations
by: Careaga, Julio, 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)

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

Asymptotic-preserving hybridizable discontinuous Galerkin method for the Westervelt quasilinear wave equation
by: Gómez, Sergio, et al.
Published: (2024)

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)

$hp$-FEM for the fractional heat equation
by: Melenk, Jens Markus, et al.
Published: (2019)

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

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

A simple predictor-corrector scheme without order reduction for advection-diffusion-reaction problems
by: Dang, Thi Tam, et al.
Published: (2025)

Space-time FEM-BEM couplings for parabolic transmission problems
by: Führer, Thomas, et al.
Published: (2024)

Numerical analysis of high-order methods for variable-exponent fractional diffusion-wave equation
by: Qiu, Wenlin, et al.
Published: (2024)

Asymptotic preserving scheme for the shallow water equations with non-flat bottom topography and Manning friction term
by: Huang, Guanlan, et al.
Published: (2026)

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

Extending Irksome: improvements in automated Runge--Kutta time stepping for finite element methods
by: Kirby, Robert C., et al.
Published: (2024)

Overcoming the order barrier two in splitting methods when applied to semilinear parabolic problems with non-periodic boundary conditions
by: Häberli, Ramona
Published: (2023)

Should exponential integrators be used for advection-dominated problems?
by: Einkemmer, Lukas, et al.
Published: (2024)

Projective integration schemes for nonlinear degenerate parabolic systems
by: Tenna, Tommaso
Published: (2025)

Exponential integrators for parabolic problems with non-homogeneous boundary conditions
by: Arranz-Simón, Carlos, et al.
Published: (2025)