Local strategies for improving the conditioning of the plane-wave ultra-weak variational formulation
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Publication:2131040
DOI10.1016/j.jcp.2021.110449OpenAlexW3163228136MaRDI QIDQ2131040
Sébastien Tordeux, Abderrahmane Bendali, Julien Diaz, Hélène Barucq
Publication date: 25 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110449
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
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A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems ⋮ Ultra-weak variational formulation for heterogeneous Maxwell problem in the context of high performance computing ⋮ Stable approximation of Helmholtz solutions in the disk by evanescent plane waves
Cites Work
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- Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version
- Double sweep preconditioner for optimized Schwarz methods applied to the Helmholtz problem
- On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations
- A comparison of high-order polynomial and wave-based methods for Helmholtz problems
- Boundary integral equations
- Non-overlapping domain decomposition methods in structural mechanics
- Computational aspects of the ultra-weak variational formulation
- A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects
- A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
- Discontinuous Galerkin methods with plane waves for time-harmonic problems
- Plane wave decomposition in the unit disc: convergence estimates and computational aspects
- Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
- Improvements for the ultra weak variational formulation
- Dispersion analysis of plane wave discontinuous Galerkin methods
- A Survey of Trefftz Methods for the Helmholtz Equation
- Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation
- Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version
- Error estimates for the Ultra Weak Variational Formulation of the Helmholtz equation
- Direct Methods in the Theory of Elliptic Equations
- Plane wave discontinuous Galerkin methods: Analysis of theh-version
- Mixed and Hybrid Finite Element Methods
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation
- Boundary Element Methods
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