Space-time finite element methods for nonlinear wave equations via elliptic regularisation
Fuente:
arXiv
Saved in:
| Main Authors: | Banjai, Lehel, Georgoulis, Emmanuil H., Hennessy, Brian |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
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)
by: Eckhardt, Daniel, et al.
Published: (2024)
Mixed finite element methods for the Landau--Lifshitz--Baryakhtar and the regularised Landau--Lifshitz--Bloch equations in micromagnetics
by: Soenjaya, Agus L.
Published: (2024)
by: Soenjaya, Agus L.
Published: (2024)
Combined DG-CG finite element method for the Westervelt equation
by: Gómez, Sergio, et al.
Published: (2024)
by: Gómez, Sergio, et al.
Published: (2024)
Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping
by: Baker, Katherine, et al.
Published: (2022)
by: Baker, Katherine, et al.
Published: (2022)
A variational approach to the analysis of the continuous space-time FEM for the wave equation
by: Gómez, Sergio
Published: (2025)
by: Gómez, Sergio
Published: (2025)
Stable $C^1$-conforming finite element methods for a class of nonlinear fourth-order evolution equations
by: Soenjaya, Agus L., et al.
Published: (2023)
by: Soenjaya, Agus L., et al.
Published: (2023)
Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations
by: Creff, Melvin, et al.
Published: (2024)
by: Creff, Melvin, et al.
Published: (2024)
A posteriori error analysis and adaptivity of a space-time finite element method for the wave equation in second order formulation
by: Dong, Zhaonan, et al.
Published: (2025)
by: Dong, Zhaonan, et al.
Published: (2025)
Error analysis of the Strang splitting for the 3D semilinear wave equation with finite-energy data
by: Ruff, Maximilian
Published: (2025)
by: Ruff, Maximilian
Published: (2025)
Error analysis of the Lie splitting for semilinear wave equations with finite-energy solutions
by: Ruff, Maximilian, et al.
Published: (2023)
by: Ruff, Maximilian, et al.
Published: (2023)
A Second-Order Maximum-Principle-Preserving Crouzeix-Raviart Finite Element Method for Time-dependent Transport Equation
by: Mao, Shipeng, et al.
Published: (2026)
by: Mao, Shipeng, et al.
Published: (2026)
A neural network method for scalar conservation laws with convergence rates for shock-wave solutions
by: Cao, Jiachuan, et al.
Published: (2026)
by: Cao, Jiachuan, et al.
Published: (2026)
Second-order invariant-domain preserving approximation to the multi-species Euler equations
by: Clayton, Bennett, et al.
Published: (2025)
by: Clayton, Bennett, et al.
Published: (2025)
Error analysis of scalar auxiliary variable finite element methods for the Landau--Lifshitz--Bloch equation
by: Soenjaya, Agus L.
Published: (2026)
by: Soenjaya, Agus L.
Published: (2026)
Robust fully discrete error bounds for the Kuznetsov equation in the inviscid limit
by: Dörich, Benjamin, et al.
Published: (2024)
by: Dörich, Benjamin, 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)
by: Da Veiga, Lourenço Beirão, et al.
Published: (2024)
Stability analysis of Arbitrary-Lagrangian-Eulerian ADER-DG methods on classical and degenerate spacetime geometries
by: Bonafini, Mauro, et al.
Published: (2026)
by: Bonafini, Mauro, et al.
Published: (2026)
Invariant-domain preserving IMEX schemes for the nonequilibrium Gray Radiation-Hydrodynamics equations Part I
by: Guermond, Jean-Luc, et al.
Published: (2026)
by: Guermond, Jean-Luc, et al.
Published: (2026)
Hybridizable discontinuous Galerkin methods for solving the two-fluid plasma model
by: Ho, Andrew, et al.
Published: (2024)
by: Ho, Andrew, et al.
Published: (2024)
Entropy analysis and entropy stable DG methods for the shallow water moment equations
by: Careaga, Julio, et al.
Published: (2026)
by: Careaga, Julio, et al.
Published: (2026)
Stable fully practical finite element methods for axisymmetric Willmore flow
by: Garcke, Harald, et al.
Published: (2025)
by: Garcke, Harald, et al.
Published: (2025)
The Landau--Lifshitz--Bloch equation on polytopal domains: Unique existence and finite element approximation
by: Le, Kim-Ngan, et al.
Published: (2024)
by: Le, Kim-Ngan, 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)
by: Harmon, Jake, et al.
Published: (2025)
A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations
by: Guermond, Jean-Luc, et al.
Published: (2024)
by: Guermond, Jean-Luc, et al.
Published: (2024)
A Higher-Order Multiscale Method for the Wave Equation
by: Krumbiegel, Felix, et al.
Published: (2023)
by: Krumbiegel, Felix, et al.
Published: (2023)
An energy-stable parametric finite element method for Willmore flow with normal-tangential velocity splitting
by: Garcke, Harald, et al.
Published: (2025)
by: Garcke, Harald, et al.
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)
by: Xie, Zhengrong
Published: (2026)
Numerical Analysis and Dimension Splitting for A Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
by: Xie, Zhengrong
Published: (2025)
by: Xie, Zhengrong
Published: (2025)
Stable fully discrete finite element methods with BGN tangential motion for Willmore flow of planar curves
by: Garcke, Harald, et al.
Published: (2025)
by: Garcke, Harald, 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)
by: Guermond, Jean-Luc, et al.
Published: (2023)
Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations
by: Kronbichler, Martin, et al.
Published: (2024)
by: Kronbichler, Martin, et al.
Published: (2024)
Galerkin-type time discretizations for parabolic and hyperbolic problems: stability and a priori error analysis
by: Gómez, Sergio
Published: (2026)
by: Gómez, Sergio
Published: (2026)
Asymptotic-preserving finite element analysis of Westervelt-type wave equations
by: Nikolić, Vanja
Published: (2023)
by: Nikolić, Vanja
Published: (2023)
Maximum principle preserving time implicit DGSEM for nonlinear scalar conservation laws
by: Renac, Florent
Published: (2024)
by: Renac, Florent
Published: (2024)
Numerical analysis of high-order methods for variable-exponent fractional diffusion-wave equation
by: Qiu, Wenlin, et al.
Published: (2024)
by: Qiu, Wenlin, et al.
Published: (2024)
A space-time continuous and coercive formulation for the wave equation
by: Bignardi, Paolo, et al.
Published: (2023)
by: Bignardi, Paolo, et al.
Published: (2023)
Error analysis for discontinuous Galerkin time-stepping methods for nonlinear parabolic equations via maximal regularity
by: Akrivis, Georgios, et al.
Published: (2024)
by: Akrivis, Georgios, et al.
Published: (2024)
A high-order nodally bound-preserving and mass-conservative method for linear fourth-order elliptic problems and its applications to nonlinear parabolic equations
by: Shen, Jie, et al.
Published: (2026)
by: Shen, Jie, et al.
Published: (2026)
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)
by: Giesselmann, Jan, et al.
Published: (2026)
Strong convergence of finite element schemes for the stochastic Landau--Lifshitz--Bloch equation
by: Soenjaya, Agus L.
Published: (2026)
by: Soenjaya, Agus L.
Published: (2026)
Similar Items
-
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) -
Mixed finite element methods for the Landau--Lifshitz--Baryakhtar and the regularised Landau--Lifshitz--Bloch equations in micromagnetics
by: Soenjaya, Agus L.
Published: (2024) -
Combined DG-CG finite element method for the Westervelt equation
by: Gómez, Sergio, et al.
Published: (2024) -
Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping
by: Baker, Katherine, et al.
Published: (2022) -
A variational approach to the analysis of the continuous space-time FEM for the wave equation
by: Gómez, Sergio
Published: (2025)