High-order cut finite elements for the elastic wave equation
DOI10.1007/s10444-020-09785-zzbMath1437.65144arXiv1804.00332OpenAlexW3021867272WikidataQ114227760 ScholiaQ114227760MaRDI QIDQ2178838
Gustav Ludvigsson, Gunilla Kreiss, Simon Sticko
Publication date: 11 May 2020
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.00332
Bulk waves in solid mechanics (74J10) A priori estimates in context of PDEs (35B45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)
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- High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- A stabilized Nitsche fictitious domain method for the Stokes problem
- Ghost penalty
- Stable and high order accurate difference methods for the elastic wave equation in discontinuous media
- Asymptotically stable fourth-order accurate schemes for the diffusion equation on complex shapes
- Numerical treatment of two-dimensional interfaces for acoustic and elastic waves.
- A stabilized Nitsche cut element method for the wave equation
- Higher order cut finite elements for the wave equation
- The deal.II library, version 8.5
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Cut finite element methods for linear elasticity problems
- Scaling of Differential Equations
- The Finite Element Method: Theory, Implementation, and Applications
- CutFEM: Discretizing geometry and partial differential equations
- A Fourth-Order Accurate Embedded Boundary Method for the Wave Equation
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles