An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form
DOI10.1007/s10915-020-01322-wzbMath1460.74080arXiv2004.08525OpenAlexW3090456976MaRDI QIDQ2204882
Yingda Cheng, Juntao Huang, Yuan Liu, Zhanjing Tao, Wei Guo
Publication date: 16 October 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.08525
Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Linear waves in solid mechanics (74J05)
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- Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media
- Energy conserving local discontinuous Galerkin methods for wave propagation problems
- A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media
- Fast matrix-vector multiplication in the sparse-grid Galerkin method
- Adaptive mesh refinement for hyperbolic partial differential equations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Local adaptive mesh refinement for shock hydrodynamics
- Spectral element method for acoustic wave simulation in heterogeneous media
- Wavelets and adaptive grids for the discontinuous Galerkin method
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- A fourth order accurate finite difference scheme for the elastic wave equation in second order formulation
- An adaptive sparse grid semi-Lagrangian scheme for first order Hamilton-Jacobi Bellman equations
- Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations
- Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
- Strong Stability-Preserving High-Order Time Discretization Methods
- A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations
- Adaptive multiresolution discontinuous Galerkin schemes for conservation laws
- Error estimates to smooth solutions of semi‐discrete discontinuous Galerkin methods with quadrature rules for scalar conservation laws
- p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
- A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- A High‐Order Accurate Parallel Solver for Maxwell’s Equations on Overlapping Grids
- An Interior Penalty Finite Element Method with Discontinuous Elements
- A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions
- Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Problems
- Sparse grids
- Discontinuous Galerkin Finite Element Method for the Wave Equation
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