High-order cut discontinuous Galerkin methods with local time stepping for acoustics
DOI10.1002/NME.6343MaRDI QIDQ6496311
Simon Sticko, Svenja Schoeder, Gunilla Kreiss, Martin Kronbichler
Publication date: 3 May 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
acoustic wave equationlocal time steppingcut finite element methodhybridizable discontinuous Galerkinarbitrary derivative time integrationcell-merging
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
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Cites Work
- Unnamed Item
- Handbook on numerical methods for hyperbolic problems. Applied and modern issues
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- A stabilized Nitsche fictitious domain method for the Stokes problem
- Optimal preconditioners for Nitsche-XFEM discretizations of interface problems
- High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
- Fast high order ADER schemes for linear hyperbolic equations
- Ghost penalty
- Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- ADER: A high-order approach for linear hyperbolic systems in 2D
- Arbitrary high-order explicit hybridizable discontinuous Galerkin methods for the acoustic wave equation
- eXtended hybridizable discontinuous Galerkin with Heaviside enrichment for heat bimaterial problems
- The deal.II library, version 9.0
- Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
- A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary
- The aggregated unfitted finite element method for elliptic problems
- A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems
- A cut cell hybrid high-order method for elliptic problems with curved boundaries
- Fast matrix-free evaluation of hybridizable discontinuous Galerkin operators
- Distributed-memory parallelization of the aggregated unfitted finite element method
- A stabilized Nitsche cut element method for the wave equation
- Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements
- Higher order cut finite elements for the wave equation
- A generic interface for parallel cell-based finite element operator application
- High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids
- Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
- Extended hybridizable discontinous Galerkin (X-HDG) for void problems
- High order unfitted finite element methods on level set domains using isoparametric mappings
- A cut finite element method for a Stokes interface problem
- A Simplified h-box Method for Embedded Boundary Grids
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- Efficiency of high-order elements for continuous and discontinuous Galerkin methods
- CutFEM: Discretizing geometry and partial differential equations
- Comparison of implicit and explicit hybridizable discontinuous Galerkin methods for the acoustic wave equation
- Implementing Spectral Methods for Partial Differential Equations
- An unfitted finite element method using discontinuous Galerkin
- Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves
- An Unfitted Hybrid High-Order Method for Elliptic Interface Problems
- Geometric Reconstruction of Implicitly Defined Surfaces and Domains with Topological Guarantees
- A high‐order discontinuous Galerkin method for compressible flows with immersed boundaries
- Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators
- High‐order continuous and discontinuous Galerkin methods for wave problems
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- Analysis of an extended pressure finite element space for two-phase incompressible flows
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