A posteriori error analysis and adaptivity of a space-time finite element method for the wave equation in second order formulation
Fuente:
arXiv
Saved in:
| Main Authors: | Dong, Zhaonan, Georgoulis, Emmanuil H., Mascotto, Lorenzo, Wang, Zuodong |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A priori and a posteriori error estimates of a $\mathcal C^0$-in-time method for the wave equation in second order formulation
by: Dong, Zhaonan, et al.
Published: (2024)
by: Dong, Zhaonan, et al.
Published: (2024)
Maximum-norm a posteriori error bounds for parabolic equations discretised by the extrapolated Euler method in time and FEM in space
by: Linß, Torsten, et al.
Published: (2024)
by: Linß, Torsten, et al.
Published: (2024)
Space-time finite element methods for nonlinear wave equations via elliptic regularisation
by: Banjai, Lehel, et al.
Published: (2025)
by: Banjai, Lehel, et al.
Published: (2025)
High order Lagrange-Galerkin methods for the conservative formulation of the advection-diffusion equation
by: Bermejo, Rodolfo, et al.
Published: (2024)
by: Bermejo, Rodolfo, et al.
Published: (2024)
$hp$-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes
by: Dong, Zhaonan, et al.
Published: (2023)
by: Dong, Zhaonan, et al.
Published: (2023)
Multi-goal-oriented anisotropic error control and mesh adaptivity for time-dependent convection-dominated problems
by: Bause, Markus, et al.
Published: (2025)
by: Bause, Markus, et al.
Published: (2025)
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)
Error analysis of the space-time interface-fitted finite element method for an inverse source problem for an advection-diffusion equation with moving subdomains
by: Ta, Thi Thanh Mai, et al.
Published: (2025)
by: Ta, Thi Thanh Mai, et al.
Published: (2025)
A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation
by: Dong, Zhaonan, et al.
Published: (2024)
by: Dong, Zhaonan, et al.
Published: (2024)
Fully discrete error analysis of finite element discretizations of time-dependent Stokes equations in a stream-function formulation
by: Leykekhman, Dmitriy, et al.
Published: (2025)
by: Leykekhman, Dmitriy, et al.
Published: (2025)
Hybrid Schwarz preconditioners for linear systems arising from hp-discontinuous Galerkin method
by: Dolejsi, Vit, et al.
Published: (2025)
by: Dolejsi, Vit, et al.
Published: (2025)
Anisotropic hp space-time adaptivity and goal-oriented error control for convection-dominated problems
by: Margenberg, Nils, et al.
Published: (2026)
by: Margenberg, Nils, et al.
Published: (2026)
Level-set shape optimization via polytopic discontinuous Galerkin methods
by: Fernandes, Raphael S., et al.
Published: (2024)
by: Fernandes, Raphael S., et al.
Published: (2024)
A posteriori error analysis of the virtual element method for second-order quasilinear elliptic PDEs
by: Congreve, Scott, et al.
Published: (2024)
by: Congreve, Scott, et al.
Published: (2024)
Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system
by: da Veiga, L. Beirao, et al.
Published: (2024)
by: da Veiga, L. Beirao, et al.
Published: (2024)
A generalized Hessian-based error estimator for an IPDG formulation of the biharmonic problem in two dimensions
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)
A strong second-order two-stage explicit/implicit technique with spectral orthogonal basis Galerkin finite element method for two-dimensional Gray-Scott model
by: Ngondiep, Eric
Published: (2026)
by: Ngondiep, Eric
Published: (2026)
A mixed finite element method for a class of fourth-order stochastic evolution equations with multiplicative noise
by: Goldys, Beniamin, et al.
Published: (2025)
by: Goldys, Beniamin, et al.
Published: (2025)
Stability, convergence, and geometric properties of second-order-in-time space-time discretizations for linear and semilinear wave equations
by: Ferrari, Matteo, et al.
Published: (2026)
by: Ferrari, Matteo, et al.
Published: (2026)
An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact
by: Fontana, Ilaria, et al.
Published: (2024)
by: Fontana, Ilaria, et al.
Published: (2024)
DDFEM: A Python Package for Diffuse Domain Methods
by: Benfield, Luke, et al.
Published: (2025)
by: Benfield, Luke, et al.
Published: (2025)
Automatic Variationally Stable Analysis for Finite Element Computations: Transient Convection-Diffusion Problems
by: Valseth, Eirik, et al.
Published: (2020)
by: Valseth, Eirik, et al.
Published: (2020)
$\boldsymbol{H}(\textbf{curl})$-reconstruction of piecewise polynomial fields with application to $hp$-a posteriori nonconforming error analysis for Maxwell's equations
by: Dong, Zhaonan, et al.
Published: (2025)
by: Dong, Zhaonan, et al.
Published: (2025)
Deflation-based preconditioning for immersed finite element methods and immersogeometric analysis
by: Voet, Yannis, et al.
Published: (2026)
by: Voet, Yannis, et al.
Published: (2026)
High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities
by: Kirby, Robert C., et al.
Published: (2023)
by: Kirby, Robert C., et al.
Published: (2023)
Moving Mesh with Streamline Upwind Petrov-Galerkin (MM-SUPG) Method for Time-dependent Convection-Dominated Convection-Diffusion Problems
by: Li, Xianping, et al.
Published: (2021)
by: Li, Xianping, et al.
Published: (2021)
A quasi-optimal space-time FEM with local mesh refinements for parabolic problems
by: Diening, Lars, et al.
Published: (2025)
by: Diening, Lars, et al.
Published: (2025)
Unconditionally stable second order convergent partitioned methods for multiple-network poroelasticity
by: Lee, Jeonghun J.
Published: (2019)
by: Lee, Jeonghun J.
Published: (2019)
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)
A second-order exponential integration constraint energy minimizing generalized multiscale method for parabolic problems
by: Poveda, Leonardo A., et al.
Published: (2023)
by: Poveda, Leonardo A., et al.
Published: (2023)
A high order, block finite difference, error inhibiting scheme for the transport equation
by: Ditkowski, Adi, et al.
Published: (2024)
by: Ditkowski, Adi, et al.
Published: (2024)
Numerical simulation of wormhole propagation with the mixed hybridized discontinuous Galerkin finite element method
by: Zhang, Jiansong, et al.
Published: (2025)
by: Zhang, Jiansong, et al.
Published: (2025)
Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods
by: Bringmann, Philipp
Published: (2023)
by: Bringmann, Philipp
Published: (2023)
A higher order nonconforming virtual element method for the Cahn-Hilliard equation
by: Dedner, Andreas, et al.
Published: (2021)
by: Dedner, Andreas, et al.
Published: (2021)
Adaptive Uncertainty Quantification for Stochastic Hyperbolic Conservation Laws
by: Harmon, Jake J., et al.
Published: (2024)
by: Harmon, Jake J., et al.
Published: (2024)
A conservative Eulerian finite element method for transport and diffusion in moving domains
by: Olshanskii, Maxim, et al.
Published: (2024)
by: Olshanskii, Maxim, et al.
Published: (2024)
An Eulerian finite element method for the linearized Navier--Stokes problem in an evolving domain
by: Neilan, Michael, et al.
Published: (2023)
by: Neilan, Michael, et al.
Published: (2023)
FEALPy: A Cross-platform Intelligent Numerical Simulation Engine
by: Zheng, Yangyang, et al.
Published: (2025)
by: Zheng, Yangyang, et al.
Published: (2025)
Stability of instantaneous pressures in an Eulerian finite element method for moving boundary flow problems
by: Olshanskii, Maxim, et al.
Published: (2024)
by: Olshanskii, Maxim, et al.
Published: (2024)
High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
Similar Items
-
A priori and a posteriori error estimates of a $\mathcal C^0$-in-time method for the wave equation in second order formulation
by: Dong, Zhaonan, et al.
Published: (2024) -
Maximum-norm a posteriori error bounds for parabolic equations discretised by the extrapolated Euler method in time and FEM in space
by: Linß, Torsten, et al.
Published: (2024) -
Space-time finite element methods for nonlinear wave equations via elliptic regularisation
by: Banjai, Lehel, et al.
Published: (2025) -
High order Lagrange-Galerkin methods for the conservative formulation of the advection-diffusion equation
by: Bermejo, Rodolfo, et al.
Published: (2024) -
$hp$-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes
by: Dong, Zhaonan, et al.
Published: (2023)