Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions
Fuente:
arXiv
Saved in:
| Main Authors: | Hiemstra, Rene, Nguyen, Thi-Hoa, Eisentrager, Sascha, Dornisch, Wolfgang, Schillinger, Dominik |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On the prospects of interpolatory spline bases for accurate mass lumping strategies in isogeometric analysis
by: Voet, Yannis, et al.
Published: (2025)
by: Voet, Yannis, et al.
Published: (2025)
An explicit Euler method for Sobolev vector fields with applications to the continuity equation on non cartesian grids
by: Cortopassi, Tommaso
Published: (2024)
by: Cortopassi, Tommaso
Published: (2024)
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 mathematical theory for mass lumping and its generalization with applications to isogeometric analysis
by: Voet, Yannis, et al.
Published: (2022)
by: Voet, Yannis, et al.
Published: (2022)
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)
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)
Stability theory of TASE-Runge-Kutta methods with inexact Jacobian
by: Conte, D., et al.
Published: (2024)
by: Conte, D., et al.
Published: (2024)
Mass lumping and stabilization for immersogeometric analysis
by: Voet, Yannis, et al.
Published: (2025)
by: Voet, Yannis, et al.
Published: (2025)
Mass lumping and outlier removal strategies for complex geometries in isogeometric analysis
by: Voet, Yannis, et al.
Published: (2024)
by: Voet, Yannis, et al.
Published: (2024)
Analysis for Implicit and Implicit-Explicit ADER and DeC Methods for Ordinary Differential Equations, Advection-Diffusion and Advection-Dispersion Equations
by: Öffner, Philipp, et al.
Published: (2024)
by: Öffner, Philipp, et al.
Published: (2024)
On properties of an explicit in time fourth-order vector compact scheme for the multidimensional wave equation
by: Zlotnik, Alexander
Published: (2021)
by: Zlotnik, Alexander
Published: (2021)
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)
On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation
by: Zlotnik, Alexander, et al.
Published: (2024)
by: Zlotnik, Alexander, et al.
Published: (2024)
A theoretical study on the effect of mass lumping on the discrete frequencies in immersogeometric analysis
by: Bioli, Ivan, et al.
Published: (2024)
by: Bioli, Ivan, et al.
Published: (2024)
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)
Entropy stable conservative flux form neural networks
by: Liu, Lizuo, et al.
Published: (2024)
by: Liu, Lizuo, et al.
Published: (2024)
Parameterization-driven arbitrary Lagrangian-Eulerian method for large-deformation isogeometric fluid-structure interaction
by: Li, Jingya, et al.
Published: (2026)
by: Li, Jingya, et al.
Published: (2026)
Stable and high-order accurate finite difference methods for the diffusive viscous wave equation
by: Wang, Siyang
Published: (2025)
by: Wang, Siyang
Published: (2025)
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)
by: Biswas, Abhijit, et al.
Published: (2024)
A generalized Active Flux method of arbitrarily high order in two dimensions
by: Barsukow, Wasilij, et al.
Published: (2025)
by: Barsukow, Wasilij, et al.
Published: (2025)
A second-order product-type implicit-explicit Runge-Kutta method preserving unit length and energy dissipation structures for gradient flows of vector fields
by: Li, Jianan, et al.
Published: (2026)
by: Li, Jianan, 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)
by: Guermond, Jean-Luc, et al.
Published: (2024)
Unconditionally stable second order convergent partitioned methods for multiple-network poroelasticity
by: Lee, Jeonghun J.
Published: (2019)
by: Lee, Jeonghun J.
Published: (2019)
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
A semi-generating function approach to the stability of implicit-explicit multistep methods for nonlinear parabolic equations
by: Liao, Hong-lin, et al.
Published: (2026)
by: Liao, Hong-lin, et al.
Published: (2026)
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)
Data-Driven Discovery of Sign-Indefinite Artificial Viscosity for Linear Convection -- A Space-Time Reconvolution Perspective
by: Neelan, Arun Govind
Published: (2026)
by: Neelan, Arun Govind
Published: (2026)
EGPT-PINN: Entropy-enhanced Generative Pre-Trained Physics Informed Neural Networks for parameterized nonlinear conservation laws
by: Ji, Yajie, et al.
Published: (2025)
by: Ji, Yajie, et al.
Published: (2025)
Prediction of discretization of online GMsFEM using deep learning for Richards equation
by: Spiridonov, Denis, et al.
Published: (2024)
by: Spiridonov, Denis, et al.
Published: (2024)
A second-order dynamical low-rank mass-lumped finite element method for the Allen-Cahn equation
by: Yang, Jun, et al.
Published: (2025)
by: Yang, Jun, et al.
Published: (2025)
A family of high-order accurate contour integral methods for strongly continuous semigroups
by: Horning, Andrew, et al.
Published: (2024)
by: Horning, Andrew, et al.
Published: (2024)
An initial-boundary corrected splitting method for diffusion-reaction problems
by: Dang, Thi Tam, et al.
Published: (2025)
by: Dang, Thi Tam, et al.
Published: (2025)
Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
Parametric Hyperbolic Conservation Laws: A Unified Framework for Conservation, Entropy Stability, and Hyperbolicity
by: Liu, Lizuo, et al.
Published: (2026)
by: Liu, Lizuo, et al.
Published: (2026)
Neural Entropy-stable conservative flux form neural networks for learning hyperbolic conservation laws
by: Liu, Lizuo, et al.
Published: (2025)
by: Liu, Lizuo, et al.
Published: (2025)
A simple predictor-corrector scheme without order reduction for advection-diffusion-reaction problems
by: Dang, Thi Tam, et al.
Published: (2025)
by: Dang, Thi Tam, et al.
Published: (2025)
Local cubic spline interpolation for Vlasov-type equations on a multi-patch geometry
by: Vidal, Pauline, et al.
Published: (2025)
by: Vidal, Pauline, et al.
Published: (2025)
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)
An Arbitrarily Higher-Order Time Implicit Scheme for Maxwell's Equations
by: Arya, Archana, et al.
Published: (2024)
by: Arya, Archana, et al.
Published: (2024)
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)
Similar Items
-
On the prospects of interpolatory spline bases for accurate mass lumping strategies in isogeometric analysis
by: Voet, Yannis, et al.
Published: (2025) -
An explicit Euler method for Sobolev vector fields with applications to the continuity equation on non cartesian grids
by: Cortopassi, Tommaso
Published: (2024) -
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) -
A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis
by: Voet, Yannis, et al.
Published: (2022) -
High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
by: Ranocha, Hendrik, et al.
Published: (2025)